Simulation Framework to Analyse Operating Room Release Mechanisms Rimmert van der Kooij, Martijn Mes, Erwin Hans Beta Working Paper series 454 BETA publicatie ISBN ISSN NUR Eindhoven WP 454 (working paper) 982 April 2014 Simulation Framework to Analyse Operating Room Release Mechanisms Rimmert van der Kooija , Martijn Mesa,∗, Erwin Hansa a Centre for Healthcare Operations Improvement and Research, University of Twente, The Netherlands Abstract The block time (BT) schedule, which allocates Operating Rooms (ORs) to surgical specialties, causes inflexibility for scheduling outside BT, new surgeons, new specialties, and for specialties that have fluctuation in the number of surgeries. For this inflexibility, we introduce the concept of releasing ORs, and present a generic simulation and evaluation framework that can be used by hospitals to evaluate various release mechanisms. The simulation and evaluation framework is illustrated by a case study at Vanderbilt Medical Center and University (VUMC) in Nashville. The results show that introducing a release policy has benefits in decreasing the number of unscheduled patients and decreasing access time, without affecting the specialties originally assigned to the released rooms. 1. INTRODUCTION Most hospitals assign Operating Rooms (ORs) to specialties (e.g., Orthopedics, Gynecology) using a Block Time (BT) schedule, where BT can be assigned to a specialty for the whole day or part of the day. This schedule is typically cyclical (e.g., cycles of 1 or 2 weeks). Hospitals want to make best use of their resources, conduct surgeries safely, and above all want to keep patient satisfaction high. Arrival rates of patients vary per specialty and over time. An exact fit between the number of patients and a cyclical division of BT is impossible without generating waiting lists. According to Baugh and Li (2012), when there are enough hospitals around, patients already walk away when the access time is higher than a couple of days. In order to reduce waiting times, specialties will have to go into overtime, even though there might be other specialties that do not have all their BT utilized. To create more flexibility in the BT schedule, a release mechanism can be introduced. According to Dexter and Macario (2004), releasing a room can be defined as: making allocated but unfilled block time on the short term available to other surgeons or specialties. Releasing a room is a breech with the principal of BT scheduling where a specialty owns a block. Releasing the remaining time creates flexibility for specialties that have utilized all of their own BT without having to extend beyond their own BT into overtime. The patients also benefit from this practice since an earlier date for their surgery can be planned. The motivation for this article is the request by Vanderbilt University and Medical Center (VUMC) to evaluate their current OR scheduling approach, to assess the limitations of the current ∗ Corresponding author. E-mail: m.r.k.mes@utwente.nl; Tel.: +31 534894062; Fax: +31 534892159. April 9, 2014 system, and to propose interventions to improve it. VUMC has a 7 day release program that releases all unscheduled BT of specialties in the coming 7 days to all specialties. To research, evaluate, and test other approaches for the releasing of ORs, we will use simulation. In the literature there has been an increase in articles that describe simulation in healthcare (Fone et al., 2003; G¨unal and Pidd, 2010) and, more specifically, simulation of OR scheduling (Ferrin et al., 2004; Lowery and Davis, 1999). However, these models cannot easily be adapted towards other hospitals. Simulation model reuse is done infrequently (Robinson et al., 2004). The objective of this article is (i) to present a generic discrete event simulation (DES) framework to evaluate the scheduling of ORs with a releasing mechanism, and (ii) to apply this simulation framework to the case study of VUMC to provide insight into the effects of various release mechanisms. In the remainder of this article, we subsequently describe the problem (Section 2), the conceptual simulation model (Section 3), and the application of this simulation model to the case of VUMC (Section 4). We end with conclusions in Section 5. 2. PROBLEM DESCRIPTION To demarcate the scope of our research, we use the framework for health care planning and control (Hans et al., 2011). Our scope is limited to the managerial area “resource capacity planning” and to the hierarchical fields “tactical and offline operational” control, i.e., we concentrate on the tactical and offline operational planning of resources, and therefore exclude the strategic and online operational decisions. This means that emergency patients are not taken into account. This decision is made because we focus on the analysis of various release strategies, which has a minor impact on the way we can handle the emergency patients. Dexter and Macario (2004) discuss when to release OR time based on maximizing efficiency. They describe eight conditions from previous work, which we summarize here. Here, we use the term case to denote a patient that will undergo surgery. Relevant conditions are: (i) allocate time to maximize OR efficiency; (ii) specialties with released BT should still be able to schedule additional cases; (iii) future OR allocations should not be affected by whether the OR is released; (iv) when a specialty has filled all its OR time, but wants to schedule another case, it is beneficial to perform this case in underutilized time of another specialty than in overtime, and only release a room if this is the case; and (v) room time should be released based on the expected under utilization on the day of surgery, because of different arrival rates between specialties. According to Shaneberger (2003), at least four other hospitals in the US have a strategy for releasing ORs and the strategy differs from the suggestions made by Dexter et al. (2003) in the interview and his articles (Dexter and Epstein, 2005; Dexter and Macario, 2004; Dexter et al., 2003; Shaneberger, 2003). In the literature, two ways to release ORs are discussed: (i) release the room on a certain day before surgery (Shaneberger, 2003) and (ii) release the room that is the least utilized, or has the lowest expectation to be utilized when a new case needs to be scheduled outside the BT (Dexter et al., 2003). In this article we review option (i), releasing ORs on a certain day before surgery, e.g., 7 days before the day of surgery (DoS). When scheduling according to the release policy is applied, there can be a request to schedule the case on a certain day that is pre-arranged with the patient (request day). Relaxing this request day is one of the possibilities, e.g., by scheduling a day sooner or later. These are strategies that can be evaluated in a simulation model and are bounded to the release policy. In practice scheduling happens with or without a waiting list, the presence or absence of a waiting list is not influenced by the absence or presence of a release policy, but depends mostly 2 on country “preference” (Dexter et al., 1999). In the US “Any workday” (Dexter et al., 2003) scheduling is usual, which means that the surgeon or surgeon scheduler, schedules the surgery with the patient in their office. In Europe it is usual that, in the clinic the surgeon determines that the patient needs surgery. The patient is then is placed on a waiting list. Waiting time or access time between countries varies significantly (Dexter et al., 1999) also due to the strategy taken. There is a difference between the scheduling of regular elective cases and the release cases, for both different strategies can be applied. For either one of them a waiting list can be used. The use or absence of a waiting list has implications for the scheduling policies. To schedule the cases, “on-line bin packaging” (OBP) algorithms can be used (Dexter et al., 1999). Online here means that the patient is given a surgical date the moment the surgery is requested. Dexter et al. (1999) describe four possibilities: Next Fit, First Fit, Best Fit or Worst Fit. When making use of a waiting list in the simulation study, Regret Based Random Sampling (RBRS) (Hans et al., 2008) with an extra optimization via Random Exchange Method (REM) can be used to schedule the cases. The combination of a waiting list for elective cases and applying an OBP algorithm for the released cases with-out a waiting list is also a possibility or vice versa. This would mean that a waiting list is used for the elective patients and that when the rooms are released the requested cases are planned directly by using the OBP algorithms. To discuss the different scheduling options, we refer in the remainder of this paper to elective block time scheduling and scheduling through a release policy by elective cases and staged cases respectively. To evaluate the scheduling options (for both the elective cases and the staged cases), and the scenarios (maximum capacity, request day and scheduling policies) bounded to staged case scheduling, we use simulation. To evaluate the simulated scenarios, we use the following performance indicators: • Utilization rate: total time available in the BT schedule divided by the total time required by the cases, including turnaround time. • Overtime: total surgery time past the official close time of the OR in the BT, including the cleanup or turnover time after the last surgery. • Undertime: total non-utilized OR time within regular BT, which is not scheduled with surgeries. • Access time: time between a request for surgery and the first possibility to schedule the case. • Number of cases scheduled. • Number of unscheduled cases: due to resource constraints some surgeries will be unable to accommodate in the schedule. 3. SIMULATION MODELLING This paper proposes a generic DES framework for the performance evaluation of various ways of OR scheduling. In this model, we incorporate the possibility for a release mechanism. We describe the three main components of our simulation model: entities, resources, and processes. In the simulation model the entities will be represented by the patients that undergo the surgery. They are the moving parts through the simulation model. The resources will be represented by the physical resources in the hospital, e.g., operating rooms, the medical equipment, 3 and medical staff. The processes describe how the entities and the resources are connected and how the patient is scheduled and undergoes the surgery. In the upcoming subsections, we present the individual components of our simulation framework (patients, resources, and processes), after which we present the complete framework. 3.1. Patients The attributes of the patient determine when and where the patient will be scheduled. The main attributes of the patient are: the arrival process and the surgery type. To attribute a surgery type to a patient, we need to determine the case mix share of the specialty, and the surgery types performed by the specialties. The case mix share is used to determine the number of patients that need to be generated per specialty, and the number of surgery types per specialty is used to determine which surgery type to attribute to the patient. Per surgery type, a procedure time distribution can be generated. To schedule and simulate the cases, we need the following information: number of cases per week, distribution of case times, turnaround time and arrival rate of the cases (Lowery and Davis, 1999). Cases for different specialties have different arrival rates and differ in case time. More details are obtained when the distributions of case times are obtained on procedure level instead of specialty level, this can only be done when enough data is available to fit distributions per case type. For each case, we use the following attributes: ID (to track the case), arrival date and time, requested surgery date, specialty, surgery type of the specialty, surgeon, expected duration (time between wheels in wheels out), real duration, expected turnover time, real turnover time, delay and downtime, and patient type (inpatient or outpatient). Which case is generated is based on the share the surgery type has within the specialty and which share the specialty has among the total specialties. 3.2. Resources There are several resources bound to the ORs. We distinguish between: staff, rooms, and equipment. We distinguish three different staff types: anesthesia staff, OR nurses, and the surgeons. We assume that the anesthesiologists and the nursing staff are assigned to the ORs, and the surgeons are bounded to the OR where the surgery of their patient takes place. For the ORs, we assume there is a BT division between the different specialties in the hospital and that the opening hours per day of the week are known. Also limitations of certain OR rooms need to be taken into account. For example, certain surgeries can only take place in a negative pressure OR. This is also tied to the equipment: some ORs have fixed equipment needed for certain surgeries, whereas other equipment can be moved around between ORs. As input we use the number of hours a surgeon or specialty has certain BT, and the number of blocks a surgeon or specialty has per week (Dexter et al., 1999; Lowery and Davis, 1999). In our case study at VUMC, the BT schedule repeats itself every week; the blocks are allocated per room, per day to a surgeon, and the ORs have different opening hours. The BT schedule also defines which rooms are allowed to be released (see Section 4.1). 3.3. Processes Figure 1 shows the processes involved from the moment the patient arrives at the hospital to the moment the patient leaves the hospital. The patient initiates the scheduling process by either going to a clinic or to the ER. In the clinic or the ER, the physician determines whether the case is urgent or elective. Urgent cases leave the elective scheduling system and are handled in the 4 online operational planning processes, which are excluded from this simulation framework (see Section 2). To include the release policy, we include the decision to determine whether the case needs to be scheduled according to the release policy or that the case will be scheduled according to the regular BT scheduling. In Figure 1, we included also the option of using the waiting list. The waiting list can be used either to generate a list for the release policy or for regular elective BT scheduling. For scheduling with or without waiting list, different strategies for scheduling cases can be applied as discussed in Section 2. Also a different scheduling strategy can be used to schedule staged cases or elective cases, represented by the two different processes in Figure 1. The patient thereafter is notified and admitted for surgery according to the schedule and surgery is performed. Thereafter the patient leaves the system, is discharged, or transferred (e.g., ICU, PACU, ward, or morgue). The way the processes are organized in the hospital are used as input for the simulation model. Besides the regular processes of scheduling and surgery, we also include downtime and delays since they influence the performance heavily. According to Lowery and Davis (1999), 15-20% downtime is a realistic target in most operating rooms. In our model, the delay can be attributed to the patient or can be generated at the event trigger end task, as shown later on in Figure 2 and Figure 3. Patient Hospital entry Arrives at ER Clinic visit Urgent case? Elective scheduling Yes Add-on case or urgent. Online operational handling OR Department No Scheduling with waiting list? No Releasing policy effectuated Patient notified for surgery Patient admitted for surgery Yes Yes Waiting list No Schedule according to policy in BT/OR Waiting list scheduling effectuated Schedule according to releasing policy in BT/OR Surgery Patient discharged, transferred or deceased Figure 1: Processes for scheduling elective patients 5 3.4. Events The simulation is driven by events that trigger the processes, such as patient arrival, patient scheduling, surgery, and departure. Our conceptual model is intended for DES, where an System Dynamics Simulation or Agent Based Simulation does not give the required visual representation of the individual patients, processes and queues (G¨unal, 2012). To simulate the, in our opinion, two main different approaches to scheduling, the situation with and without a waiting list, we present two versions of the model. In the two conceptual simulation models we made the tradeoff between level of detail and generalizability. The conceptual simulation model is designed to support the comparison of various strategies for releasing rooms. 3.4.1. Conceptual model with waiting list Following the framework from Mes and Bruens (2012), we identify four events that trigger processes or decisions: New Hour, New Patient, End Task and End Delay (Figure 2). The processes in Figure 2 are connected with solid lines; dotted lines are used to indicate information flow between processes and databases. After a new hour has started, the event ‘New Hour’ checks whether the release policy is active, and ask whether it is time to schedule the elective waiting list or the staged waiting list. This event is ended when this decision is answered with ‘No’. A waiting list can be scheduled, e.g., at the end of the day or at the start of a day. Every hour, the event New Hour checks whether it is time to schedule the elective waiting list and staged waiting list. When it is time to schedule the waiting list, the process ‘scheduling elective patients into the schedule’ or the process ‘scheduling the staged cases into the schedule’ is put into effect. This process saves the schedule, erases the scheduled patient from the waiting lists, and might consult the BT schedule to create the appropriate schedule. The event New Patient triggers the process that creates attributes to this patient (see Section 3.1). The decision whether the release policy is active for this patient determines whether the patient is placed on the elective waiting list or the staged waiting list, and End event is called to close this process. The End Task event is triggered every time the OR finishes a case. It determines whether a delay is required. It is critical that this delay or downtime is modeled accurately since it influences the outcomes (Lowery and Davis, 1999). When a delay is required, this delay is started, after which the End Delay event is triggered. When no delay is required, the process of calling the next patient from the schedule is initiated. The End Delay event in Figure 2 triggers also the process of calling the next patient from the schedule. Using common random numbers, a time from the distribution is drawn that will be used to simulate the patient/case. The case is started and the End Task is called. The patient leaves the system when all its tasks are finished. 3.4.2. Conceptual model without waiting list The conceptual model without waiting list, as shown in Figure 3, differs from the conceptual simulation model with waiting list (Figure 2), in the process that takes place after the event New Hour or New Patient is triggered. When the decision whether the release policy is active is triggered at the event of a New Patient, the patients are scheduled directly into the schedule, and are stored in the table ‘scheduled cases’, it omits the waiting list as shown in Figure 2. The event new hour in Figure 3 triggers the decision whether the current schedule needs to be optimized. 6 New Hour New Patient End Task Release policy active? Create attributes, arrival rate, surgery type and distribution of OR time duration Delay required? No Yes Yes Time to schedule waiting list? No Call next patient from scheduled cases Yes Time to schedule staged cases? No End Delay Yes No Yes Release policy active? Place patient on staged waiting list (call end) No Start delay (call end delay) Draw with CRN time from surgery time distribution (different than expected time/ duration) Place patient on elective waiting list (call end) Simulate surgery (Call end task) Waiting list elective patients Waiting list staged patients Block Schedule Schedule elective waiting list into schedule Schedule staged waiting list into schedule Send patient Home/ PACU/Ward/ICU Scheduled cases End Figure 2: Scheduling with a waiting list 4. A CASE STUDY To illustrate our simulation and evaluation framework, we perform a case study in VUMC. In the case study, we show that the input parameters and processes described are sufficient to simulate the OR department of this hospital. The case study shows the application and results of the simulation. We first present the experimental settings (Section 4.1) after which we present the experimental results (Section 4.2). 4.1. Experimental settings In VUMC, the elective scheduling is done according to the ‘Any Workday’ scheduling (Dexter et al., 2003) principle. The patient leaves the clinic with a date and time for surgery. VUMC is releasing the rooms 7 days ahead of the DoS. When a room is released this means: blocking the ability to schedule directly in the specialty own BT for the upcoming 7 days, instead a day is requested for the surgery, and the cases are put on a staged cases list, and by the end of the day these cases are scheduled on a first come first served (FCFS) basis for the DoS. The staged cases list is scheduled at the end of the day. Scheduling cases longer than 7 days ahead of the DoS happens according to the regular BT scheduling. In this case study, we modeled the 50 ORs of VUMC that are ‘on campus’. Of these 50 ORs, there are 47 inpatient ORs and 3 outpatient ORs (VUMC has more outpatient ORs but they are located ‘off campus’). Of the 50 ORs, 11 in total are not released, e.g., cardiac surgery and orthopedic trauma rooms are not released under the release policy. Not releasing means the specialties are still allowed to plan cases in these rooms without having to put them on a staged case list. 7 New Hour New Patient End Task Optimize schedule with local search? Create attributes, arrival rate, surgery type and distribution of OR time duration Delay required? End Delay No Call next patient from scheduled cases Yes No End Yes Apply local search to schedule / scheduled cases Yes Release policy active? Schedule patient based on releasing policy No Start delay (call end delay) Schedule patient based on regular Block Time scheduling Draw with CRN time from surgery time distribution (different than expected time/ duration) Simulate surgery (Call end task) Block Schedule Send patient Home/ PACU/Ward/ICU Scheduled cases Figure 3: Scheduling without a waiting list To validate the simulation model, we used the verification and validation tools described by Law (2007). For example, we compared the historic data to the simulated results and the utilization rate was 2.1% lower in the simulation with the same number of surgeries performed on a yearly schedule. This was acceptable given the choice made in the fitting of the statistical distributions and level of the detail that was put into the simulation model. The assignment of cases was also similar to the historic schedules, so VUMC trusts the model as a sufficiently accurate representation of the OR department. In the simulation, we first create the OR schedule with the attributes assigned to a new patient event as shown in Figure 4. The top schedule of Figure 4 gives an overview of how the schedule looks like based on the scheduling heuristics applied, where the scheduling is done based on the expected duration. The bottom schedule shows how the day would look like when the actual schedule is put into effect and all the patients show up. The bottom schedule also shows that before certain surgeries, there is a delay before the surgery takes place. Examples of non-released rooms are VOR13 and VOR8, which show underutilized time. In the other ORs, we can clearly see that, after the specialty scheduled their own cases, the rooms were released and cases of a different specialty are added. For example OR3 has two colors, first otolaryngology (OTO) cases in light green, then a plastic surgery case is scheduled in dark gray. The bottom schedule also shows that rooms can run into overtime due to variation in the surgery duration (the black arrows indicate the regular time for various ORs). To represent the current situation in VUMC, we applied a ‘first fit’ rule for the regular elective cases that are scheduled in regular BT, this is in accordance with the ‘Any Workday’ scheduling. The scheduling of regular cases happens directly into the BT schedule, which is release period plus one day, in this case the 8th day from the arrival of the patient (first come first served). Staged cases have a request day. When a staged case appears, we first try to apply a ‘first fit’ rule to the rooms of the specialty on the requested day. The rooms of the specialties will not always give a possible solution. When none of the specialty rooms is available, then a ‘worst fit’ 8 Figure 4: Simulated schedule rule is applied to all of the released rooms. We schedule according to the ‘worst fit’ rule in order to leave the most room for surgeries of the specialty that appear later in time. When a ‘worst fit’ was not possible on the request day, the case is placed on the unable to schedule list (one of the key performance indicators). In our simulation, we have also applied alternative strategies to the scheduling of the cases. For VUMC we first determined when the maximum capacity of the ORs was reached, then we simulated the various prospective solutions for VUMC. The prospective solutions are: (i) varying volume, (ii) varying request day constraint, and (iii) varying scheduling policy. In Section 4.2 we discuss how we simulated the prospective solutions and present the results. 4.2. Experimental results In this section, we present the results for how the system performs with an increasing number of cases, and the performance of the prospective solutions. 9 4.2.1. Varying number of patients Table 3 show the results for increasing number of patients per week, where VUMC currently has 630 patients per week. We conclude that (i) foremost the 7-day release patients cannot be scheduled, (ii) the number of canceled cases increases more rapidly after 700 cases per week, (iii) overtime is relatively stable and bounded to the variance of the surgeries, but undertime decreased, and therefore the utilization rate increases, (iv) with around 760 patients scheduled in a week the utilization rate of 98% is reached, (v) access time remains relatively stable, only for the elective patients it increases, and (vi) the average duration of the unscheduled cases decreases when the number of unscheduled cases increase. Table 1: Results with varying number of patients Volume (cases per week): Utilization rate (%) without turnover Utilization rate (%) with turnover Overtime (% of available time) Undertime (% of available time) Access time (days) 7-day release patients Access time (days) regular elective patients Nr of unscheduled cases Nr of unscheduled 7-day release cases Avg duration (hours) unscheduled cases 610 67% 79% 10% 22% 3.5 7 103 78 9.3 620 68% 81% 11% 21% 3.5 7.1 109 89 8.9 630 69% 82% 11% 20% 3.5 7.1 169 139 8.4 640 70% 84% 12% 19% 3.5 7.2 149 128 7.7 650 71% 84% 11% 18% 3.5 7.5 146 124 8.2 680 74% 88% 12% 16% 3.6 7.4 272 249 6.8 710 78% 92% 14% 13% 3.6 7.3 483 461 6 4.2.2. Varying request day constraint Currently, cases are labeled as unscheduled when on the request day the case cannot be scheduled. We choose to alter this approach and simulate other possibilities. The possibilities we choose: extend the request day with the day after (+1Day), extend with one day before and one day after (±1Day), extend with 2 days after (+2Day), and an all day approach (AllDay). The result in Table 5 show that one day, one day before and after, and two days after have almost the same performance. The all days approach gives a boost to the number of unscheduled surgeries. We also tested the scenarios in the case of 730 scheduled surgeries per week, and observe similar results (results not shown here). Scheduling the volume of 730 cases according to the current scheduling policy results in 654 unscheduled cases, where the all days approach results in 42 unscheduled cases. Implication for the patients of changing the request day to multiple days is that they do not know up front on which of the coming 7 days their surgery is to be scheduled. This means that there is a trade-off between the number of cases that can be scheduled and uncertainty with respect to the surgery date. We advise only to put the policy of scheduling all days into effect when the number of cases increases and there is a need to schedule more patients. 4.2.3. Varying scheduling policy To show the impact of the 7-day release policy for VUMC, we simulate the following policies: current number of patients without using a release policy (NoRelease), current situation with the 7-day release program (7Day), the current situation with the 7-day release program and a waiting list of one day (7DayList), situation with the 7-day release program with 730 cases (7Day730), and the situation with the 7-day release program and a waiting list of one day with 10 740 80% 95% 15% 11% 3.6 7.9 810 784 5.3 Table 2: Results with varying request day constraint Variation from request day: Utilization rate (%) without turnover Utilization rate (%) with turnover Overtime (% of available time) Undertime (% of available time) Access time (days) 7-day release patients Access time (days) regular elective patients Nr of unscheduled cases Nr of unscheduled 7-day release cases Avg duration (hours) unscheduled cases Current 69% 82% 11% 20% 3,5 7,1 169 139 8,4 +1Day 69% 82% 11% 20% 3,5 7,2 96 78 8,7 ±1Day 70% 83% 11% 20% 3,5 7,1 94 73 8,4 +2Day 70% 83% 11% 20% 3,5 7,1 93 71 8,2 AllDay 69% 82% 11% 20% 3,6 7,4 35 14 11,6 730 cases (7DayList730). For the policies that use a waiting list, we sort the cases on this waiting list on decreasing expected duration. We then apply ‘first fit’ for the specialty rooms and ‘worst fit’ when specialty rooms are not available. Table 3 shows that scheduling without the 7-day release policy does not lead to an improvement: with 3738 unscheduled cases it performs poorly. Also the other key performance indicators show a decrease in performance. The use of a waiting list of only one day (7DayList and 7DayList730) leads to an increased performance. The number of unscheduled cases drops from 169 to 77 and in the case of 730 scheduled cases a week, it drops from 640 to 449. We recommend VUMC to implement this approach. Table 3: Results with varying scheduling policy Scenario: Utilization rate (%) without turnover Utilization rate (%) with turnover Overtime (% of available time) Undertime (% of available time) Access time (days) 7-day release patients Access time (days) regular elective patients Nr of unscheduled cases Nr of unscheduled x-day release cases Avg duration (hours) unscheduled cases NoRelease 62% 74% 12% 23% 0,0 8,4 3738 0 2,9 7Day 69% 82% 11% 20% 3,5 7,1 169 139 8,4 7DayList 69% 82% 12% 20% 3,5 7,2 77 57 9,5 7Day730 79% 95% 15% 12% 3,6 7,9 654 640 5,4 7DayList730 80% 95% 15% 11% 3,6 8,0 449 432 5,2 5. DISCUSSION & CONCLUSION In this paper, we presented a generic discrete event simulation framework. We showed that the simulation model is capable of evaluating the performance of the OR department on key performance indicators. We showed that different what-if approaches could be simulated. The simulation model is also applicable to other hospitals. We expect different results and policies for different hospital characteristics. Small hospitals might achieve higher benefits compared to larger hospitals because it is harder to find a good fit between demand and need for the specialties in regular BT assignment. We displayed a simula11 tion framework that is able to answer the question whether it is beneficial to implement a release policy for a hospital and a model that is able to simulate the best release policy. We illustrated our simulation model using a case study at VUMC. We showed that for VUMC it is beneficial to use the 7-day release policy, because of a reduction in access time, a reduction in the number of unscheduled surgeries, and increased flexibility for the surgeons. We therefore advise that other hospitals take into consideration to implement the releasing ORs. This article gives a guideline on how to simulate and evaluate other OR departments. 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What are best ways to handle block-time release? part 2 of a three-part series. OR Manager 19, 18–19,22. 12 Working Papers Beta 2009 - 2014 nr. Year Title Author(s) 454 2014 Simulation Framework to Analyse Operating Room Rimmert van der Kooij, Martijn Mes, Release Mechanisms 453 2014 A Unified Race Algorithm for Offline Parameter Tuning 452 2014 Cost, carbon emissions and modal shift in Erwin Hans Tim van Dijk, Martijn Mes, Marco Schutten, Joaquim Gromicho Yann Bouchery, Jan Fransoo intermodal network design decisions Josue C. Vélazquez-Martínez, Jan C. 451 2014 Transportation Cost and CO2 Emissions in Location Decision Models 450 2014 Tracebook: A Dynamic Checklist Support System Fransoo, Edgar E. Blanco, Jaime MoraVargas Shan Nan, Pieter Van Gorp, Hendrikus H.M. Korsten, Richard Vdovjak, Uzay Kaymak 449 2014 Intermodal hinterland network design with multiple Yann Bouchery, Jan Fransoo actors 448 2014 The Share-a-Ride Problem: People and Parcels Sharing Taxis 447 2014 Stochastic inventory models for a single item at a single location 446 2014 Optimal and heuristic repairable stocking and expediting in a fluctuating demand environment 445 2014 Connecting inventory control and repair shop control: a differentiated control structure for Baoxiang Li, Dmitry Krushinsky, Hajo A. Reijers, Tom Van Woensel K.H. van Donselaar, R.A.C.M. Broekmeulen Joachim Arts, Rob Basten, Geert-Jan van Houtum M.A. Driessen, W.D. Rustenburg, G.J. van Houtum, V.C.S. Wiers repairable spare parts 444 2014 A survey on design and usage of Software Samuil Angelov, Jos Trienekens, Reference Architectures Rob Kusters Extending and Adapting the Architecture Tradeoff Samuil Angelov, Jos J.M. Trienekens, 443 2014 Analysis Method for the Evaluation of Software Paul Grefen Reference Architectures A multimodal network flow problem with product 442 2014 Quality preservation, transshipment, and asset management Maryam SteadieSeifi, Nico Dellaert, Tom Van Woensel 441 2013 Integrating passenger and freight transportation: Model formulation and insights 440 2013 The Price of Payment Delay Veaceslav Ghilas, Emrah Demir, Tom Van Woensel K. van der Vliet, M.J. Reindorp, J.C. Fransoo 439 2013 On Characterization of the Core of Lane Covering Behzad Hezarkhani, Marco Slikker, Games via Dual Solutions 438 2013 Destocking, the Bullwhip Effect, and the Credit Crisis: Empirical Modeling of Supply Chain Tom van Woensel Maximiliano Udenio, Jan C. Fransoo, Robert Peels Dynamics 437 2013 Methodological support for business process Redesign in healthcare: a systematic literature review 436 2013 Dynamics and equilibria under incremental Horizontal differentiation on the Salop circle 435 2013 Analyzing Conformance to Clinical Protocols Involving Advanced Synchronizations 434 2013 Models for Ambulance Planning on the Strategic and the Tactical Level Rob J.B. Vanwersch, Khurram Shahzad, Irene Vanderfeesten, Kris Vanhaecht, Paul Grefen, Liliane Pintelon, Jan Mendling, Geofridus G. Van Merode, Hajo A. Reijers B. Vermeulen, J.A. La Poutré, A.G. de Kok Hui Yan, Pieter Van Gorp, Uzay Kaymak, Xudong Lu, Richard Vdovjak, Hendriks H.M. Korsten, Huilong Duan J. Theresia van Essen, Johann L. Hurink, Stefan Nickel, Melanie Reuter 433 2013 Mode Allocation and Scheduling of Inland Container Transportation: A Case-Study in the Netherlands Stefano Fazi, Tom Van Woensel, Socially responsible transportation and lot sizing: 432 2013 Insights from multiobjective optimization Yann Bouchery, Asma Ghaffari, 431 2013 Inventory routing for dynamic waste collection Martijn Mes, Marco Schutten, Jan C. Fransoo Zied Jemai, Jan Fransoo Arturo Pérez Rivera Simulation and Logistics Optimization of an 430 2013 Integrated Emergency Post N.J. Borgman, M.R.K. Mes, I.M.H. Vliegen, E.W. Hans Last Time Buy and Repair Decisions for Spare 429 2013 Parts A Review of Recent Research on Green Road 428 2013 Freight Transportation Typology of Repair Shops for Maintenance 427 2013 Spare Parts S. Behfard, M.C. van der Heijden, A. Al Hanbali, W.H.M. Zijm Emrah Demir, Tolga Bektas, Gilbert Laporte M.A. Driessen, V.C.S. Wiers, G.J. van Houtum, W.D. Rustenburg A value network development model and 426 2013 Implications for innovation and production network B. Vermeulen, A.G. de Kok management Single Vehicle Routing with Stochastic Demands: 425 2013 Approximate Dynamic Programming Influence of Spillback Effect on Dynamic Shortest 424 2013 Path Problems with Travel-Time-Dependent Network Disruptions C. Zhang, N.P. Dellaert, L. Zhao, T. Van Woensel, D. Sever Derya Sever, Nico Dellaert, Tom Van Woensel, Ton de Kok 423 2013 Dynamic Shortest Path Problem with Travel-Time- Derya Sever, Lei Zhao, Nico Dellaert, Dependent Stochastic Disruptions: Hybrid Tom Van Woensel, Ton de Kok Approximate Dynamic Programming Algorithms with a Clustering Approach System-oriented inventory models for spare R.J.I. Basten, G.J. van Houtum 422 2013 parts Lost Sales Inventory Models with Batch Ordering T. Van Woensel, N. Erkip, A. Curseu, 421 2013 And Handling Costs J.C. Fransoo 420 2013 Response speed and the bullwhip Maximiliano Udenio, Jan C. Fransoo, Eleni Vatamidou, Nico Dellaert 419 2013 Anticipatory Routing of Police Helicopters Rick van Urk, Martijn R.K. Mes, Erwin W. Hans 418 2013 Supply Chain Finance: research challenges ahead Kasper van der Vliet, Matthew J. Reindorp, Jan C. Fransoo Improving the Performance of Sorter Systems 417 2013 By Scheduling Inbound Containers Regional logistics land allocation policies: 416 2013 Stimulating spatial concentration of logistics S.W.A. Haneyah, J.M.J. Schutten, K. Fikse Frank P. van den Heuvel, Peter W. de Langen, Karel H. van Donselaar, firms Jan C. Fransoo The development of measures of process Heidi L. Romero, Remco M. Dijkman, 415 2013 harmonization BASE/X. Business Agility through Cross- Paul W.P.J. Grefen, Arjan van Weele Paul Grefen, Egon Lüftenegger, 414 2013 Organizational Service Engineering Eric van der Linden, Caren Weisleder The Time-Dependent Vehicle Routing Problem 413 2013 with Soft Time Windows and Stochastic Travel Times Duygu Tas, Nico Dellaert, Tom van 412 2013 Clearing the Sky - Understanding SLA Elements in Cloud Computing Marco Comuzzi, Guus Jacobs, 411 2013 Approximations for the waiting time distribution In an M/G/c priority queue A. Al Hanbali, E.M. Alvarez, 410 2013 To co-locate or not? Location decisions and logistics concentration areas Frank P. van den Heuvel, Karel H. van Donselaar, Rob A.C.M. Broekmeulen, Jan C. Fransoo, Peter W. de Langen 409 2013 408 2013 407 2013 406 2013 The Time-Dependent Pollution-Routing Problem Scheduling the scheduling task: A time Management perspective on scheduling Clustering Clinical Departments for Wards to Achieve a Prespecified Blocking Probability MyPHRMachines: Personal Health Desktops in the Cloud Woensel, Ton de Kok Paul Grefen M.C. van der van der Heijden Anna Franceschetti, Dorothée Honhon,Tom van Woensel, Tolga Bektas, GilbertLaporte. J.A. Larco, V. Wiers, J. Fransoo J. Theresia van Essen, Mark van Houdenhoven, Johann L. Hurink Pieter Van Gorp, Marco Comuzzi 405 2013 Maximising the Value of Supply Chain Finance Kasper van der Vliet, Matthew J. Reindorp, Jan C. Fransoo 404 2013 Reaching 50 million nanostores: retail distribution in emerging megacities Edgar E. Blanco, Jan C. Fransoo 403 2013 A Vehicle Routing Problem with Flexible Time Windows Duygu Tas, Ola Jabali, Tom van Woensel 402 2012 The Service Dominant Business Model: A Service Focused Conceptualization Egon Lüftenegger, Marco Comuzzi, 401 2012 Relationship between freight accessibility and Logistics employment in US counties Frank P. van den Heuvel, Liliana Rivera,Karel H. van Donselaar, Ad de Jong,Yossi Sheffi, Peter W. de Langen, Jan C.Fransoo 400 2012 A Condition-Based Maintenance Policy for MultiComponent Systems with a High Maintenance Qiushi Zhu, Hao Peng, Geert-Jan van Paul Grefen, Caren Weisleder Houtum Setup Cost 399 2012 A flexible iterative improvement heuristic to E. van der Veen, J.L. Hurink, Support creation of feasible shift rosters in J.M.J. Schutten, S.T. Uijland Self-rostering Scheduled Service Network Design with 398 2012 397 2012 Synchronization and Transshipment Constraints K. Sharypova, T.G. Crainic, T. van Woensel, J.C. Fransoo For Intermodal Container Transportation Networks Destocking, the bullwhip effect, and the credit Maximiliano Udenio, Jan C. Fransoo, Crisis: empirical modeling of supply chain Robert Peels Dynamics 396 2012 395 2012 Vehicle routing with restricted loading J. Gromicho, J.J. van Hoorn, A.L. Kok capacities J.M.J. Schutten Service differentiation through selective E.M. Alvarez, M.C. van der Heijden, lateral transshipments I.M.H. Vliegen, W.H.M. Zijm A Generalized Simulation Model of an Martijn Mes, Manon Bruens 394 2012 Integrated Emergency Post 393 2012 Business Process Technology and the Cloud: Vasil Stoitsev, Paul Grefen Defining a Business Process Cloud Platform 392 2012 Vehicle Routing with Soft Time Windows and Stochastic Travel Times: A Column Generation D. Tas, M. Gendreau, N. Dellaert, T. van Woensel, A.G. de Kok And Branch-and-Price Solution Approach 391 2012 Improve OR-Schedule to Reduce Number of Required Beds 390 2012 How does development lead time affect J.T. v. Essen, J.M. Bosch, E.W. Hans, M. v. Houdenhoven, J.L. Hurink Andres Pufall, Jan C. Fransoo, Ad de performance over the ramp-up lifecycle? Jong Evidence from the consumer electronics Andreas Pufall, Jan C. Fransoo, Ad de 389 2012 industry The Impact of Product Complexity on Ramp388 2012 Up Performance Jong, Ton de Kok Frank P.v.d. Heuvel, Peter W.de Langen, Karel H. v. Donselaar, Jan C. Fransoo Co-location synergies: specialized versus diverse 387 2012 logistics concentration areas Frank P.v.d. Heuvel, Peter W.de Langen, 386 2012 Proximity matters: Synergies through co-location of logistics establishments Frank P. v.d.Heuvel, Peter W.de Langen, 385 2012 Spatial concentration and location dynamics in logistics:the case of a Dutch province 384 2012 FNet: An Index for Advanced Business Process Querying Karel H. v.Donselaar, Jan C. Fransoo Karel H.v. Donselaar, Jan C. Fransoo Zhiqiang Yan, Remco Dijkman, Paul Grefen W.R. Dalinghaus, P.M.E. Van Gorp 383 2012 Defining Various Pathway Terms Egon Lüftenegger, Paul Grefen, Caren Weisleder 382 2012 The Service Dominant Strategy Canvas: Defining and Visualizing a Service Dominant Stefano Fazi, Tom van Woensel, Jan C. Fransoo Strategy through the Traditional Strategic Lens 381 2012 A Stochastic Variable Size Bin Packing Problem With Time Constraints K. Sharypova, T. van Woensel, J.C. Fransoo Frank P. van den Heuvel, Peter W. de 380 2012 Coordination and Analysis of Barge Container Hinterland Networks Langen, Karel H. van Donselaar, Jan C. Fransoo 379 2012 Proximity matters: Synergies through co-location of logistics establishments Heidi Romero, Remco Dijkman, 378 2012 A literature review in process harmonization: a conceptual framework S.W.A. Haneya, J.M.J. Schutten, 377 2012 Paul Grefen, Arjan van Weele P.C. Schuur, W.H.M. Zijm A Generic Material Flow Control Model for H.G.H. Tiemessen, M. Fleischmann, Two Different Industries G.J. van Houtum, J.A.E.E. van Nunen, E. Pratsini Improving the performance of sorter systems by 375 2012 scheduling inbound containers Albert Douma, Martijn Mes Strategies for dynamic appointment making by 374 2012 container terminals Pieter van Gorp, Marco Comuzzi MyPHRMachines: Lifelong Personal Health 373 2012 Records in the Cloud E.M. Alvarez, M.C. van der Heijden, 372 2012 Service differentiation in spare parts supply through dedicated stocks Frank Karsten, Rob Basten W.H.M. Zijm X.Lin, R.J.I. Basten, A.A. Kranenburg, 371 2012 Spare parts inventory pooling: how to share the benefits G.J. van Houtum Condition based spare parts supply Martijn Mes 370 2012 369 2011 Using Simulation to Assess the Opportunities of Dynamic Waste Collection J. Arts, S.D. Flapper, K. Vernooij J.T. van Essen, J.L. Hurink, W. 368 2011 Aggregate overhaul and supply chain planning for Hartholt, rotables B.J. van den Akker 367 2011 Operating Room Rescheduling Kristel M.R. Hoen, Tarkan Tan, Jan C. Fransoo, Geert-Jan van Houtum Switching Transport Modes to Meet Voluntary 366 2011 Carbon Emission Targets Elisa Alvarez, Matthieu van der Heijden On two-echelon inventory systems with Poisson 365 2011 demand and lost sales J.T. van Essen, E.W. Hans, J.L. Hurink, 364 2011 Minimizing the Waiting Time for Emergency Surgery Vehicle Routing Problem with Stochastic Travel Times Including Soft Time Windows and Service 363 2011 Costs A New Approximate Evaluation Method for Two362 2011 Echelon Inventory Systems with Emergency Shipments 361 2011 Approximating Multi-Objective Time-Dependent Optimization Problems A. Oversberg Duygu Tas, Nico Dellaert, Tom van Woensel, Ton de Kok Erhun Özkan, Geert-Jan van Houtum, Yasemin Serin Said Dabia, El-Ghazali Talbi, Tom Van Woensel, Ton de Kok Said Dabia, Stefan Röpke, Tom Van Woensel, Ton de Kok A.G. Karaarslan, G.P. Kiesmüller, A.G. Branch and Cut and Price for the Time Dependent de Kok 360 2011 Vehicle Routing Problem with Time Window Analysis of an Assemble-to-Order System with 359 2011 Different Review Periods Interval Availability Analysis of a Two-Echelon, 358 2011 Multi-Item System 357 2011 Carbon-Optimal and Carbon-Neutral Supply Chains Ahmad Al Hanbali, Matthieu van der Heijden Felipe Caro, Charles J. Corbett, Tarkan Tan, Rob Zuidwijk Sameh Haneyah, Henk Zijm, Marco Schutten, Peter Schuur Generic Planning and Control of Automated 356 2011 Material Handling Systems: Practical Requirements Versus Existing Theory 355 2011 Last time buy decisions for products sold under warranty M. van der Heijden, B. Iskandar Frank P. van den Heuvel, Peter W. de Langen, Karel H. van Donselaar, Jan C. Fransoo 354 2011 Spatial concentration and location dynamics in logistics: the case of a Dutch provence Frank P. van den Heuvel, Peter W. de Langen, Karel H. van Donselaar, Jan C. Fransoo 353 2011 Identification of Employment Concentration Areas Pieter van Gorp, Remco Dijkman 352 2011 BOMN 2.0 Execution Semantics Formalized as Graph Rewrite Rules: extended version Frank Karsten, Marco Slikker, GeertJan van Houtum 351 2011 Resource pooling and cost allocation among independent service providers E. Lüftenegger, S. Angelov, P. Grefen 350 2011 A Framework for Business Innovation Directions Remco Dijkman, Irene Vanderfeesten, Hajo A. Reijers K.M.R. Hoen, T. Tan, J.C. Fransoo The Road to a Business Process Architecture: An 349 2011 Overview of Approaches and their Use G.J. van Houtum 348 2011 Effect of carbon emission regulations on transport Murat Firat, Cor Hurkens mode selection under stochastic demand 347 2011 An improved MIP-based combinatorial approach for a multi-skill workforce scheduling problem R.J.I. Basten, M.C. van der Heijden, J.M.J. Schutten 346 2011 An approximate approach for the joint problem of level of repair analysis and spare parts stocking R.J.I. Basten, M.C. van der Heijden, J.M.J. Schutten Joint optimization of level of repair analysis and 345 2011 spare parts stocks Ton G. de Kok Inventory control with manufacturing lead time 344 2011 flexibility Frank Karsten, Marco Slikker, GeertJan van Houtum Analysis of resource pooling games via a new 343 2011 extenstion of the Erlang loss function Murat Firat, C.A.J. Hurkens, Gerhard J. Woeginger 342 2010 Vehicle refueling with limited resources Bilge Atasoy, Refik Güllü, TarkanTan Optimal Inventory Policies with Non-stationary 341 2010 Supply Disruptions and Advance Supply Information Kurtulus Baris Öner, Alan Scheller-Wolf Geert-Jan van Houtum Redundancy Optimization for Critical Components 339 2010 in High-Availability Capital Goods Joachim Arts, Gudrun Kiesmüller 338 2010 Analysis of a two-echelon inventory system with two supply modes Murat Firat, Gerhard J. Woeginger 335 2010 Analysis of the dial-a-ride problem of Hunsaker and Savelsbergh Murat Firat, Cor Hurkens 334 2010 Attaining stability in multi-skill workforce scheduling A.J.M.M. Weijters, J.T.S. Ribeiro 333 2010 Flexible Heuristics Miner (FHM) P.T. Vanberkel, R.J. Boucherie, E.W. Hans, J.L. Hurink, W.A.M. van Lent, W.H. van Harten Peter T. Vanberkel, Richard J. 332 2010 An exact approach for relating recovering surgical Boucherie, Erwin W. Hans, Johann L. patient workload to the master surgical schedule Hurink, Nelly Litvak Efficiency evaluation for pooling resources in 331 2010 health care M.M. Jansen, A.G. de Kok, I.J.B.F. Adan The Effect of Workload Constraints in 330 2010 Mathematical Programming Models for Production Christian Howard, Ingrid Reijnen, Johan Marklund, Tarkan Tan Planning 329 2010 Using pipeline information in a multi-echelon spare H.G.H. Tiemessen, G.J. van Houtum parts inventory system Reducing costs of repairable spare parts supply 328 2010 systems via dynamic scheduling F.P. van den Heuvel, P.W. de Langen, K.H. van Donselaar, J.C. Fransoo Identification of Employment Concentration and 327 2010 Specialization Areas: Theory and Application Murat Firat, Cor Hurkens 326 2010 A combinatorial approach to multi-skill workforce scheduling Murat Firat, Cor Hurkens, Alexandre Laugier 325 2010 Stability in multi-skill workforce scheduling M.A. Driessen, J.J. Arts, G.J. v. Houtum, W.D. Rustenburg, B. Huisman 324 2010 Maintenance spare parts planning and control: A framework for control and agenda for future research R.J.I. Basten, G.J. van Houtum Near-optimal heuristics to set base stock levels in 323 2010 a two-echelon distribution network M.C. van der Heijden, E.M. Alvarez, J.M.J. Schutten 322 2010 Inventory reduction in spare part networks by selective throughput time reduction 321 2010 The selective use of emergency shipments for service-contract differentiation E.M. Alvarez, M.C. van der Heijden, W.H. Zijm B. Walrave, K. v. Oorschot, A.G.L. Romme Heuristics for Multi-Item Two-Echelon Spare Parts 320 2010 Inventory Control Problem with Batch Ordering in Nico Dellaert, Jully Jeunet. the Central Warehouse Preventing or escaping the suppression 319 2010 mechanism: intervention conditions 318 2010 317 2010 Hospital admission planning to optimize major resources utilization under uncertainty R. Seguel, R. Eshuis, P. Grefen. Tom Van Woensel, Marshall L. Fisher, Jan C. Fransoo. Minimal Protocol Adaptors for Interacting Services Lydie P.M. Smets, Geert-Jan van Houtum, Fred Langerak. Teaching Retail Operations in Business and 316 2010 Engineering Schools Pieter van Gorp, Rik Eshuis. Design for Availability: Creating Value for 315 2010 Manufacturers and Customers Bob Walrave, Kim E. van Oorschot, A. Georges L. Romme Transforming Process Models: executable rewrite 314 2010 rules versus a formalized Java program S. Dabia, T. van Woensel, A.G. de Kok 313 Getting trapped in the suppression of exploration: A simulation model A Dynamic Programming Approach to MultiObjective Time-Dependent Capacitated Single Vehicle Routing Problems with Time Windows Tales of a So(u)rcerer: Optimal Sourcing Decisions 312 2010 Under Alternative Capacitated Suppliers and Osman Alp, Tarkan Tan General Cost Structures In-store replenishment procedures for perishable 311 2010 inventory in a retail environment with handling costs and storage constraints R.A.C.M. Broekmeulen, C.H.M. Bakx 310 2010 The state of the art of innovation-driven business models in the financial services industry E. Lüftenegger, S. Angelov, E. van der Linden, P. Grefen 309 2010 Design of Complex Architectures Using a Three Dimension Approach: the CrossWork Case R. Seguel, P. Grefen, R. Eshuis 308 2010 Effect of carbon emission regulations on transport K.M.R. Hoen, T. Tan, J.C. Fransoo, mode selection in supply chains G.J. van Houtum 307 2010 Interaction between intelligent agent strategies for Martijn Mes, Matthieu van der Heijden, real-time transportation planning Peter Schuur 306 2010 Internal Slackening Scoring Methods 305 2010 Vehicle Routing with Traffic Congestion and Drivers' Driving and Working Rules Marco Slikker, Peter Borm, René van den Brink A.L. Kok, E.W. Hans, J.M.J. Schutten, W.H.M. Zijm 304 2010 Practical extensions to the level of repair analysis R.J.I. Basten, M.C. van der Heijden, J.M.J. Schutten Ocean Container Transport: An Underestimated 303 2010 and Critical Link in Global Supply Chain Performance Jan C. Fransoo, Chung-Yee Lee 302 2010 Capacity reservation and utilization for a Y. Boulaksil; J.C. Fransoo; T. Tan manufacturer with uncertain capacity and demand 300 2009 Spare parts inventory pooling games F.J.P. Karsten; M. Slikker; G.J. van Houtum 299 2009 Capacity flexibility allocation in an outsourced supply chain with reservation Y. Boulaksil, M. Grunow, J.C. Fransoo 298 2010 An optimal approach for the joint problem of level of repair analysis and spare parts stocking R.J.I. Basten, M.C. van der Heijden, J.M.J. Schutten Responding to the Lehman Wave: Sales 297 2009 Forecasting and Supply Management during the Credit Crisis Robert Peels, Maximiliano Udenio, Jan C. Fransoo, Marcel Wolfs, Tom Hendrikx Peter T. Vanberkel, Richard J. An exact approach for relating recovering surgical Boucherie, Erwin W. Hans, Johann L. 296 2009 patient workload to the master surgical schedule Hurink, Wineke A.M. van Lent, Wim H. van Harten An iterative method for the simultaneous 295 2009 optimization of repair decisions and spare parts stocks R.J.I. Basten, M.C. van der Heijden, J.M.J. Schutten 294 2009 Fujaba hits the Wall(-e) Pieter van Gorp, Ruben Jubeh, Bernhard Grusie, Anne Keller 293 2009 Implementation of a Healthcare Process in Four Different Workflow Systems 292 2009 Business Process Model Repositories - Framework Zhiqiang Yan, Remco Dijkman, Paul and Survey Grefen 291 2009 Efficient Optimization of the Dual-Index Policy Using Markov Chains Joachim Arts, Marcel van Vuuren, Gudrun Kiesmuller 290 2009 Hierarchical Knowledge-Gradient for Sequential Sampling Martijn R.K. Mes; Warren B. Powell; Peter I. Frazier Analyzing combined vehicle routing and break 289 2009 scheduling from a distributed decision making perspective R.S. Mans, W.M.P. van der Aalst, N.C. Russell, P.J.M. Bakker C.M. Meyer; A.L. Kok; H. Kopfer; J.M.J. Schutten 288 2009 Anticipation of lead time performance in Supply Chain Operations Planning Michiel Jansen; Ton G. de Kok; Jan C. Fransoo 287 2009 Inventory Models with Lateral Transshipments: A Review Colin Paterson; Gudrun Kiesmuller; Ruud Teunter; Kevin Glazebrook 286 2009 Efficiency evaluation for pooling resources in health care P.T. Vanberkel; R.J. Boucherie; E.W. Hans; J.L. Hurink; N. Litvak 285 2009 A Survey of Health Care Models that Encompass Multiple Departments P.T. Vanberkel; R.J. Boucherie; E.W. Hans; J.L. Hurink; N. Litvak 284 2009 Supporting Process Control in Business Collaborations S. Angelov; K. Vidyasankar; J. Vonk; P. Grefen 283 2009 Inventory Control with Partial Batch Ordering O. Alp; W.T. Huh; T. Tan 282 2009 Translating Safe Petri Nets to Statecharts in a Structure-Preserving Way 281 2009 The link between product data model and process J.J.C.L. Vogelaar; H.A. Reijers model 280 2009 Inventory planning for spare parts networks with delivery time requirements I.C. Reijnen; T. Tan; G.J. van Houtum 279 2009 Co-Evolution of Demand and Supply under Competition B. Vermeulen; A.G. de Kok Toward Meso-level Product-Market Network 278 2010 Indices for Strategic Product Selection and (Re)Design Guidelines over the Product Life-Cycle 277 2009 R. Eshuis B. Vermeulen, A.G. de Kok An Efficient Method to Construct Minimal Protocol R. Seguel, R. Eshuis, P. Grefen Adaptors 276 2009 Coordinating Supply Chains: a Bilevel Programming Approach 275 2009 Inventory redistribution for fashion products under G.P. Kiesmuller, S. Minner demand parameter update 274 2009 Comparing Markov chains: Combining aggregation A. Busic, I.M.H. Vliegen, A. Schellerand precedence relations applied to sets of states Wolf 273 2009 Separate tools or tool kits: an exploratory study of engineers' preferences Ton G. de Kok, Gabriella Muratore I.M.H. Vliegen, P.A.M. Kleingeld, G.J. van Houtum An Exact Solution Procedure for Multi-Item Two272 2009 Echelon Spare Parts Inventory Control Problem with Batch Ordering 271 2009 Distributed Decision Making in Combined Vehicle Routing and Break Scheduling Dynamic Programming Algorithm for the Vehicle 270 2009 Routing Problem with Time Windows and EC Social Legislation Engin Topan, Z. Pelin Bayindir, Tarkan Tan C.M. Meyer, H. Kopfer, A.L. Kok, M. Schutten A.L. Kok, C.M. Meyer, H. Kopfer, J.M.J. Schutten 269 2009 Remco Dijkman, Marlon Dumas, Similarity of Business Process Models: Metics and Boudewijn van Dongen, Reina Kaarik, Evaluation Jan Mendling 267 2009 Vehicle routing under time-dependent travel times: A.L. Kok, E.W. Hans, J.M.J. Schutten the impact of congestion avoidance 266 2009 Restricted dynamic programming: a flexible framework for solving realistic VRPs J. Gromicho; J.J. van Hoorn; A.L. Kok; J.M.J. Schutten; Working Papers published before 2009 see: http://beta.ieis.tue.nl