Chapter 17 - Project Management CHAPTER 17 PROJECT MANAGEMENT Teaching Notes In managing operations, we are often faced with activities that do not fit into the usual day-to-day operations of the firm. These non-typical, unusual activities of the firm are called projects. Therefore typical daily, weekly or monthly activities of a firm involving scheduling, quality control, purchasing, etc. are not categorized as projects. Due to their unique nature, projects require different management approaches and techniques. A list of project examples is given below: 1. Installation of a new bar coding system 2. Installation of a new computerized production and inventory control system 3. Design and development of a product prototype 4. Feasibility study to decide whether to buy new machinery 5. Acquisition and installation of a new CNC (Computer Numerically Controlled) machinery 6. Conversion of the plant layout from process layout to group technology layout. 7. Selection of a new plant site 8. Construction of a new facility 9. Planning, organizing and managing a professional conference or a trade show 10. Planning organizing and managing major sports events such as Olympics, sports festivals, NCAA basketball tournament, etc. Project Management involves planning, controlling and directing the unusual activities facing the firm. In managing projects, temporary project teams are formed to schedule the work, to adhere to a given budget, and to monitor the progress of the work through its various stages. For larger projects, project teams are formed. These project teams may include workers from the company involved in the project as well as other external companies (i.e. consulting firm). Depending on the size and type of the project, an internal project leader and possibly project team members may receive full or partial release from their regular duties. The duty release is given because it would be very difficult for an employee to manage the responsibilities of a time consuming project and also to fulfill the responsibilities of normal day-to-day activities. Projects are not necessarily single-time events. They can be repeated in similar settings. In managing a project, the project team is usually responsible for managing and controlling the following four factors: 1. The length of project completion time 2. Resources 3. Quality 4. Cost 17-1 Chapter 17 - Project Management The project plan is generally prepared well before actual project work begins. The first phase of the project needs to include a clear statement of goals and objectives of the project. The next phase involves composing a detailed definition of the project. Then, using the Work Breakdown Structure, the project is decomposed into tasks or activities. Once all of the unique tasks making up the project are identified, specific time, cost and resource estimates are obtained for each task. In planning and controlling the project, the project team’s major duty is to ensure timely progression of the project through various stages without exceeding the approved cost standards while achieving the desired level of quality. The project team usually prepares progress reports during different stages of the project for upper management and possibly for external sources playing a major role in the project. The interim project progress report assists in ensuring that the project team’s actions are consistent with the original goals and objectives of the project and the project is continuing according to plan. If the project is delayed or major changes had to be made, the interim progress report also allows the project manager to explain the reasons for deviations from the original plan. In addition, the interim progress report also gives upper management a chance to consider and possibly approve the proposed changes. Answers to Discussion and Review Questions 1. To effectively manage a project, a project manager must employ a certain set of skills. For projects that involve fairly well-defined work, the project manager must be able to a. motivate his or her team. b. direct team members in specific work areas of the project. c. solve specific project related problems. d. resolve issues and problems between co-workers. e. communicate certain problems to upper management. f. expedite work when necessary. g. coordinate work among the team members and among the appropriate outside contractors. h. make the necessary project trade-off decisions involving cost, time, quality and resources. However, if the work is not well defined, there is usually more uncertainty involved. In projects involving a higher degree of uncertainty, in addition to being able to perform the functions listed above, the project leader must also demonstrate strong leadership skills. The more ill-defined the work, the higher the need for leadership skills. Leadership skills are less tangible than the skills listed above and may include the following: a. ability to deal with change. b. deciding what type of changes are needed and when to make the change or changes. c. working with the project team to make the necessary change or changes. d. the ability to handle undesirable or unexpected consequences of making the change. e. ability to manage people with varying background and skills who may also be reporting to other managers in their respective functional areas. f. ability to persuade and cooperate with others to fulfill project goals since the project manager may not have the formal authority to accomplish some of the goals of the project. 17-2 Chapter 17 - Project Management 2. Project champion is the person who is from within the company specifically designated to support the project. The project champion can be instrumental in facilitating the work of the project manager by promoting the project to other managers who might be asked to share resources with the project team. The project champion also promotes the benefits of the project to employees who may be asked to work on portions of the project. Since the project champion plays a very important role in facilitating the project, both the project manager and the project team needs to keep him or her informed and involved about the status of the project. Possible benefits of the project need to be communicated to the project champion so that he or she is knowledgeable about the project to be able to successfully promote it to others involved. 3. The steps in risk management are: a. Identification of risks. b. Assessment and evaluation of risks. c. Risk reduction. - Contingency plans. - Risk sharing. - Backup systems. - Risk transfer. - Early identification and elimination of problems. 4. Choose good people, model appropriate behavior, monitor team members’ behavior, and investigate any allegations of unethical conduct. 5. The advantages of using project management software include the following: a. It imposes a methodology and a common project management technology. b. It provides a logical planning structure. c. It can enhance communication among team members. d. It can automatically flag the occurrence of constraint violations. e. It automatically formats reports. f. It can generate multiple levels of summary reports and detailed reports. g. It enables what-if scenarios and what-if analysis. h. It can generate various chart types, including basic Gantt charts. 6. Work Breakdown Structure (WBS) is a hierarchical listing of what must be done during the project. It breaks down the entire project into manageable smaller portions called activities or tasks. WBS is important because it establishes a logical framework for identifying the required activities of the project. 7. a. A path e. Beta distribution b. The critical path f. Normal distribution c. Dummy activity g. Crashing d. Path slack 8. The primary advantages of PERT are: 17-3 Chapter 17 - Project Management a. The PERT chart helps managers to visualize the project. b. Planners must identify major activities and define sequential relationships. c. Potential trouble spots become apparent. d. Areas of weak or nonexisting information (e.g., time estimates) tend to be more easily recognized with a formal technique like PERT. e. Reallocation of resources to shorten project time is facilitated through computation of slack times. The primary limitations of PERT are: a. Important activities may be overlooked when developing the project network. b. Errors may occur in designating precedence relationships. c. Time estimates may be incorrect. d. Large networks require the use of a computer which might not be available. 9. Near-critical paths can have distributions which overlap the distribution of critical path time, which may result in a lower probability of timely completion than that based solely on the time distribution of the critical path. Where overlap is not a factor, probabilistic estimates based solely on the critical path are acceptable. 10. a. Expected activity time is a weighted average of optimistic, most-likely, and pessimistic time t o 4t m t p for each activity: Te 6 b. Variance of an activity measures the extent of activity variability. Variance (t p t o )2 36 c. The standard deviation of a path’s time is a measure of the extent of variability of path time. It is computed by summing the variances of activities which comprise the path and then taking the square root of that sum. 11. The critical path generates more attention than other paths. Hence, those associated with activities which are on the critical path are often in the spotlight. If they perform well, there is a good possibility for recognition and reward. However, there can be an inordinate amount of pressure associated with the critical path activities, and some would just as soon avoid that pressure. 12. Projects can offer a change of pace, a chance to do new work, meet new people and new challenges. If the project is successful, certain rewards, recognition and perhaps new opportunities may present themselves. Conversely, an unsuccessful project may bring an unfavorable impression. In addition, after the project is terminated, it may be difficult to return to one’s former slot in the organization. And, if one is involved with the project on a part-time basis, conflicts may arise between the regular work and project work. 13. Authority may not be commensurate with responsibility, time and funding pressures may be large, the environment is often more dynamic than with more routine jobs, there may be a much wider range of skills among subordinates, and conflicts may arise between project workers and those not involved with the project (e.g., other projects, nonproject work). 17-4 Chapter 17 - Project Management 14. The project organization permits a narrower focus on activities related to a project than a more traditional form of organization would. Taking Stock 1. When contractors responsible for the completion of certain activities for a given project determine the completion time estimates, they assume normal operating conditions, thus normal cost. If for one reason or another, the activity and the project completion times have to be accelerated, then obviously the cost estimates have to be adjusted upwards because of possible expediting of work, the use of overtime, etc. 2. The project manager, specialized project personnel dedicated to handle certain portions, activities or aspects of a project, someone from the finance department, and someone from the upper administration or management must be involved in assessing the cost of a project. 3. a. Project management software: As the project management software gets more and more sophisticated, the ability of a project manager to manage, direct and control different aspects of management gets easier. b. Internet and e-mail: The ability to obtain quotes and prices on the Internet provided a significant convenience and reduced the negotiation times for various activities, making the prices of activities more competitive. Critical Thinking Exercise 1. The project management techniques are designed to handle unusual or atypical activities. They do not lend themselves very well in managing the day-to-day activities of organizations. Projects by definition are different than normal operations of the firm. They are usually not repeated, very expensive to design and develop due to their unique and special characteristics. Since business managers have experience dealing with the normal, day-to-day activities, they can utilize many of the existing, well-known techniques and methods designed to manage day-to-day operations of the firm or solve typical problems faced by the firm. Utilization of project management techniques in managing the normal functions of a business will not only result in a lot of waste of time and resources, it may not provide satisfactory results in a timely fashion. Memo Writing Exercises 1. Work Breakdown Structure (WBS) is a hierarchical listing of what must be done during the project. WBS is important because it establishes a logical framework for identifying the required activities of the project. 2. In a part-time capacity, the employee will continue to perform his/her regular duties and join the project team as well. The employee may be concerned about reporting to two different managers (functional department manager and project manager). As a result, it is possible there might be work overload and/or priority conflicts. In a full time capacity, the employee would be completely relieved from his/her regular position, so that he/she can fully execute the responsibilities as a project team member. Being away from his/her regular job can reduce his/her chances for advancement, promotions, and it does not allow him/her to participate in intradepartment activities and/or decision-making. 17-5 Chapter 17 - Project Management 3. The advent of technology made it much easier to manage projects. First and foremost, the use of project management software presents many different benefits and conveniences for project teams and project managers. Some of these benefits are listed below: a. It imposes a methodology and a common project management technology. b. It provides a logical planning structure. c. It can enhance communication among team members. d. It can automatically flag the occurrence of constraint violations. e. It automatically formats reports. f. It can generate multiple levels of summary reports and detailed reports. g. It enables what-if scenarios and what-if analysis. h. It can generate various chart types, including basic Gantt charts. In addition to project management software, other software packages such as Computer Assisted Design (CAD) can easily produce updated prototypes on construction and product development projects (i.e., design of a large cruise ship). Other technological advances in telecommunications provide the ability for team members to work on a project from separate locations through teleconferencing, e-mail, and on-line communication. The software that permits remote viewing of projects allows those members of the team at different locations a close-up view of the progress and problems associated with the project. 17-6 Chapter 17 - Project Management Solutions 1. a. Expected Path Time Path 1–2–4–7–10–12 23 1–2–5–8–10–12 24 1–3–6–9–11–12 31* b. Expected Path Time Path 1–2–4–6–8–9 41 1–2–5–6–8–9 48 1–2–5–7–8–9 55* 1–3–7–8–9 40 c. Expected Path Time Path 2. 1–2–5–12–16 44* 1–3–6–13–16 39 1–3–7–14–16 41 1–4–8–9–10–11–15–16 35 1–4–8–10–11–15–16 38 a. Choose topic Library res. Outline Shop Select Install Write Paper Grammar ck Submit paper b. 1. AOA diagram Library Choose .6 Start .4 Shop 2 Outline 2 Install Select .8 1 17-7 Write Grammar Submit 3 .5 .2 End Chapter 17 - Project Management 2. AON diagram Choose Library Outline Start Write Shop c. 7.5 Select Install Shop, Select, Install, Write, Grammar, Submit d. Parallel paths. 17-8 Grammar Submit End Chapter 17 - Project Management Blank forms to distribute to students if desired: 3a. Bank location. Activity 1-2 1-3 2-4 2-5 3-5 4-5 5-6 2 4 6 8 Weeks after start 10 12 14 4 6 8 10 Weeks after start 12 14 16 18 4 6 8 10 Weeks after start 12 14 16 18 4 6 8 10 Weeks after start 12 14 16 18 16 18 20 b. Solved problem #2. Activity 1-2 2-5 2-4 1-3 3-4 4-5 2 3. a. Bank location. Activity 1-2 1-3 2-4 2-5 3-5 4-5 5-6 2 b. Solved Problem #2. Activity 1-2 2-5 2-4 1-3 3-4 4-5 2 17-9 20 Chapter 17 - Project Management 4. a. C Start A E Dummy B D Activity Immediate Predecessor A B C D E End – – A A,B C D,E 4. b. Case 1: Activity-on-Node diagram a d k Start b e End f c h g i 17-10 Chapter 17 - Project Management Case 2: Activity-on-Node diagram l m n p j k r v Start s End q t w 17-11 Chapter 17 - Project Management 5. a. 21 13 12 4 11 4 7 0 2 LS ES 26 18 7 4 2 2 7 1 28 20 10 8 11 4 4 5 26 18 9 19 12 0 0 21 13 26 19 26 19 19 12 3 28 21 8 5 28 21 12 6 10 11 10 10 3 5 6 4 10 10 9 6 16 16 20 20 20 20 16 16 Summary: Activity 1–2 ES 0 EF 4 LF 11 LS 7 Slack 7 2–4 4 13 21 12 8 4–7 13 18 26 21 8 7–10 18 20 28 26 8 10–12 21 24 31 28 7 2–5 4 12 19 11 7 5–8 12 19 26 19 7 8–10 19 21 28 26 7 1–3 0 10 10 0 0 3–6 10 16 16 10 0 6–9 16 20 20 16 0 9–11 20 25 25 20 0 11–12 25 31 31 25 0 17-12 31 24 25 25 25 25 31 31 LF EF Chapter 17 - Project Management 5. b. Summary: Activity 1 ES 0 EF 5 LS 0 LF 5 Slack 0 2 5 23 5 23 0 3 5 18 20 33 15 4 23 26 37 40 14 5 23 33 23 33 0 6 33 37 40 44 7 7 33 44 33 44 0 8 44 53 44 53 0 9 53 55 53 55 0 LS ES 37 40 23 26 5 23 5 23 4 LF EF 40 44 33 37 3 6 2 23 33 23 33 18 0 0 5 5 4 5 44 53 44 53 10 53 55 53 55 1 5 20 33 5 18 3 33 44 33 44 7 13 11 17-13 8 9 9 2 Chapter 17 - Project Management 5. c. Activity 1–2 ES 0 EF 15 LF 16 LS 1 Slack 1 2–4 15 27 28 16 1 4–7 27 33 34 28 1 7–9 33 36 37 34 1 4–9 27 32 37 32 5 1–3 0 8 8 0 0 3–6 8 16 30 22 14 6–9 16 23 37 30 14 3–5 8 17 17 8 0 5–8 17 31 31 17 0 8–9 31 37 37 31 0 LF EF LS ES 28 27 16 15 16 15 1 0 34 33 28 27 b 0 0 37 36 e 5 15 a 1 3 d 32 27 2 34 33 c 4 12 7 6 37 32 9 37 23 i 30 16 22 8 f 8 8 8 8 8 6 8 g 3 7 k 30 16 6 h 8 9 j 17 17 5 14 17 17 17-14 31 31 31 31 37 37 Chapter 17 - Project Management 6. The network diagram is given in Problem 1, Part a. For path 1–2–4–7–10–12, the 13 weeks required for 1–2–4 has been reduced to 12 weeks. On path 1–2–5–8–10–12, the 12 weeks required for 1–2–5 has been increased to (about) 14 weeks [12+(8–6)]. However, 1–2–5–8–10–12 is not along the critical path and has a slack of 7 weeks. Along path 1–3–6–9–11–12, the 13 weeks required to complete 1–3 and half of 3–6 has been reduced to 12 weeks; a reduction of one week along the critical path. The project may be completed in (31–1) = 30 weeks, if all following activities are completed according to the original estimate. 7. 5 c a. e 2 a d Start 3 f g 8 1 b i 4 b. End 6 Activity a b c d e f g h i te 6 8.5 8.17 12 6.33 6 3.5 4.17 6.83 2 4/36 9/36 25/36 36/36 16/36 4/36 25/36 1/36 9/36 h 7 Path a–c–e d–f–g b–h–i Expected Duration 20.5 21.5 19.5 For 21 (21 – 20.5) 1.118 Std. Dev. 1.118 1.344 0.726 = .447 0.45 24 3.13 1.86 6.19 Prob. 0.9991 0.9686 1.0000 Probability 0.6736 (21 – 21.5) 1.344 = –0.3721 –0.37 0.3557 (21–19.5) 0.7265 = 2.065 2.07 0.9808 0.6736 x 0.3557 x 0.9808 = 0.235 17-15 Chapter 17 - Project Management c. On the 8th day, the network could be reviewed as follows: *Assume it is the beginning of the 8th day 5 c (8.17) 8th day 1 e (6.33) d (6) 3 f (6) g (3.5) 6 h (4.17) 8 i (6.83) 7 Replace d by d and merge nodes (2) and (4) with (1). d: te = 6: 2 = 4/36 7 days were used to complete activities a, b and one half of d. In the modified network: Expected Duration Expected duration from Path from 8th day the start of the project Variance 1. c–e 14.50 14.50 + 7 = 21.5 41/36 2. d–f–g 15.5 15.5 + 7 = 22.5 33/36 3. h–i 11 11 + 7 = 18 10/36 Path 1. c–e Standard Dev. 1.0672 2. d–f–g 0.9574 3. h–i 0.5270 Z24 24 – 21.5 = 2.343 1.0672 24 – 22.5 = 1.567 0.9574 24 – 18 = 11.384 0.527 Probability (24) .9904 .9418 1.0000 .9904(.9418)(1.0000) = .9328 Path 1. c–e 2. d–f–g 3. h–i Z21 21 – 21.5 = –0.469 1.0672 21 – 22.5 = –1.567 0.9574 21 – 18 = 5.692 0.527 Probability (21) 0.3192 0.0582 1.0000 .3192 (.0582)(1.0000) = 0.0186 17-16 Chapter 17 - Project Management d. Crash activities F, C, and G one day each for a total cost of $23,000. Decide if an additional expenditure of $3,000 over budget would be worth the cost, or if it would be better to crash only one day (Activity F for a cost of $7,000), or don’t crash at all. 8. Path Expected Duration 10 8 12 15 14 A B C D E Std. Dev. Z16 Z15 Z13 1.1 1.414 1. 1.7 1.2 5.45 5.66 4 0.59 1.67 4.55 4.95 3 0 0.83 2.73 3.54 1 –1.18 –0.83 (a) Prob. (T 16) = 1 x 1 x 1 x 0.7224 x 0.9525 = 0.6881 (b) Prob. (T 15) = 1 x 1 x 1 x 0.50 x 0.7977 = 0.3984 (c) Prob. (T 13) = .9968 x 1 x 0.8413 x .1197 x .2023 = .0203 9. Solution Path 1–2–3 1–3 Expected duration 4+5=9 8 Std. dev. 1.64 z 0.61 1.60 Probability .7291 1.25 .8944 P(duration 10 weeks): 1 – .7291 (.8944) = .3479 10. Solution a. Path 1–2–4 Expected duration 4 + 6 = 10 Std. Dev. 1.14 z for 11 wk. 0.88 1–3–4 3 + 9 = 12 2.00 –0.50 Probability .8106 .3085 P(duration 11 weeks): .8106(.3085) = .2501. Yes, the manager should be concerned because the probability of finishing on schedule is only about .25. b. Expected Path duration Std. dev. z for 12 wk. Probability 1–2–4 4 + 6 = 10 1.14 1.75 .9599 1–3–4 3 + 9 = 12 2.00 0 P(duration 12 weeks) = 1 – .9599(.5000) = .52. 17-17 .5000 Chapter 17 - Project Management 11. Project Management a. Path 1–2–3–8–11 Mean 37.34 Var. 1.056 Std. Dev. 1.027 z49 11.35 Prob. 1 z46 8.43 Prob. 1 1–2–4–6–11 43 5.11 2.26 2.65 .996 1.33 .9082 1–2–4–7–11 40 0.8056 0.898 10.02 1 3.34 1 1–2–5–10–9–11 46.83 1.25 1.94 .9738 1.118 b. P(T 49 wk.) = 1 – [(.9738) (.996)] = .0301 c. P(T 46 wk.) = .9082 (.2296) = .2085 17-18 –0.74 .2296 Chapter 17 - Project Management d e 12. f a h g End Start k b i j o c m Activity a Expected Duration 4. Path Mean n Variance 16/36 d 8. e 9.17 h 3.17 9/36 f 4.5 25/36 g 7. 24.34 15.5 16/36 25/36 16/36 4.[a] 16/36 b 2.17 1/36 i 3.33 j 4. k 5.33 16/36 c 8.17 49/36 m 1. n 7.5 o 9.5 14.83 26.17* 16/36 4/36 0 25/36 25/36 *critical path duration 17-19 Path Variance Path Std. Dev. 1.83 1.354 1.58 1.258 1.03 1.014 2.75 1.658 Chapter 17 - Project Management Path a–d–e–h Mean 24.34 Std. Dev. 1.354 z27 1.96 Prob. .9750 z26 1.23 Prob. .8907 a–f–g 15.5 1.258 9.14 1.0000 8.35 1.0000 b–i–j–k 14.83 1.014 12.00 1.0000 11.00 1.0000 c–m–n–o 26.17 1.658 .50 .6915 –0.10 .4602 Prob. ($500): .9750(1.0000)(1.0000)(.6915) = .6742 Prob. ($1000): .8907(1.0000)(1.0000)(.4602) = .4099 13. Activity Duration (wk.) 1-2 2-4 4-7 1-3 3-4 1-5 5-6 6-7 5 6 3 3 7 5 5 5 first crash second crash $8 #2 7 14 #3 9 8 10 #1 11 #2 12 #3 $10 9 15 11 9 15 13 14 6 2 4 3 5 7 7 3 3 1 5 6 5 5 5 17-20 Chapter 17 - Project Management Path 1-2-4-7 1-3-4-7 1-5-6-7 Initial time 14 wk. 13 wk. 15 wk. After first crash 14 wk. 13 wk. 14 wk. First Crash Activity Cost 1-5 $10 Second Crash Activity Cost 2-4 $7 5-6 11 $18 After second crash 13 wk. 13 wk. 13 wk. After third crash 12 wk. 12 wk. 12 wk. Third Crash Activity Cost 4-7 $14 6-7 12 $26 B 14. 14 A 12 Start K 9 End M 3 N C 10 G D 17 15 11 E 18 F 12 8 H 8 J 12 I 7 Path A–B–K P Length after crashing N weeks N: 0 1 2 35 3 4 5 42 40 C–E–H–P 44 43 42 42 C–D–G–M 45 44 43 43 C–E–H–N 47 46 45 45 45 44 C–F–I–J–P 49 48 47 46 45 44 Activity Crashed – c c f f e,p Cost – $5,000 5,000 12,000 15,000 36,000 Cum. Cost – $5,000 10,000 22,000 37,000 73,000 17-21 Chapter 17 - Project Management 15. Activity 1–2 1st week $18 [2] 2nd week 3rd week $22 [6] – 2–5 24 25 25 5–7 30 30 35 7–11 15 [1] 20 [3] – 11–13 30 [4] 33 [5] 36 1–3 12 [6] 24 26 3–8 – – – 8–11 40 40 40 3–9 3 10 12 9–12 2 7 10 12–13 26 – – 1–4 10 [5] 15 25 4–6 8 [4] 13 – 6–10 5 [3] 12 [6] – 15 – 10–12 14 1 2 $18 15 Weeks Crashed 3 4 5 6 $22 20 30 33 12 10 8 5 $15 $18 Path 1–2–5–7–11–13 0 35 wk. 1 34 1–3–8–11–13 32 1–3–9–12–13 20 1–4–6–10–12–13 33 17-22 $25 12 $38 $43 $46 Weeks Crashed 2 3 4 33 32 31 5 30 6 29 32 31 30 29 32 31 30 29 33 Chapter 17 - Project Management Summary: Project Cum. wk. Length Shortened 35 0 Cum. Crash Costs ($0000) 0 Indirect Costs ($000) 35(40) = 1,400 Total Cost ($000) 1,400 34 1 15 34(40) = 1,360 1,375 33 2 33 33(40) = 1,320 1,353 32 3 58 32(40) = 1,280 1,338 31 4 96 31(40) = 1,240 1,336 30 5 139 30(40) = 1,200 1,339 29 6 185 29(40) = 1,160 1,345 1,400 Total Cost ($000) 1,300 0 30 31 32 33 34 Product Length (wk) 17-23 35 Chapter 17 - Project Management 16. Start 7 L 125, - 9 K 410, 415 4 M 300, 350 5 N 45, 45 8 P -, - 5 Q 200, 225 6 J 50,- 7 Y 85, 90 6 Z 90, - Project duration = 39 wk Project Shorten Crash length activity cost 39 wk – 0 38 Z 90 37 N, L 36 Q 200 35 Q 225 34 M, N 345 170 = (125 + 45) Stop here; additional crashing will cost more than the $375 weekly penalty. 17. a. 18.5 (See table in part b.) b. Path 1-2-4-6 Expected Duration 5+8.17 +5.33 = 18.5 Standard Deviation 1.17 Z17 –.43 Probability .3336 1-3-5-6 8.33 + 3 + 3.83 = 15.16 1.12 2.54 .9945 1 – .3336(.9945) = .6682 or approximately .67. 17-24 En d Chapter 17 - Project Management 18. Event Probability 1 .25 2 .35 3 .20 4 .80 5 .10 6 .40 7 .60 Cost ($000) Exp. Cost 15 25 55 10 77 55 50 3.75 8.75 11.00 8.00 7.70 22.00 30.00 80 5 60 3 6 7 40 Cost 2 20 1 0 4 .50 .75 1.00 Probability of Occurring .25 The manager should probably be most concerned about event #7, which has a greater than 50% chance of occurring and a relatively high cost. (Note its expected cost in table above is the highest.) 19. 200 2 160 3 120 Cost 80 5 40 1 0 .25 6 .50 .75 4 1.00 Probability of Occurring The weather problems (4) and funding delays (5) are placed conservatively (i.e., using the worst likely probabilities). 17-25 Chapter 17 - Project Management Case: The Mexican Crazy Quilt The case combines behavioral considerations in project management with development of a foreign subsidiary. Although some students will have minor problems getting all the names straight, I think you will find that the case produces good discussion as well as a realistic view of the sorts of difficulties often encountered on projects. 1. Very definitely. This was a one-time, unique effort requiring the planning and coordination of diverse activities leading up to getting the Mexican subsidiary on-line. Much of the work cut across functional boundaries. 2. Naturally, the division managers would be opposed to releasing their best people to work on the project. In fact, while the project might be important to top management, the division managers undoubtedly had different priorities based on how they were evaluated, not on the success or failure of this particular project. Rather, their evaluations would concern ongoing sorts of things directly related to their divisions. 3. Many people are quite content to work in a stable environment, where there is little chance of unexpected events that might upset the established routine. These people are risk-adverse; they are fully content to operate in a nonchanging environment. Moreover, experienced workers might have witnessed similar projects that involved project personnel leaving the organization or moving into less desirable jobs once the project had been completed. Thus, Bert Mill might have wanted to avoid that possibility. 4. Conway realized that he might “go to the well” once too often: not every argument would be decided in his favor. Moreover, he undoubtedly recognized that these arguments stirred up a certain amount of resentment which would bode ill for any future dealings he might have with these people. In fact, that is just what happened when he took the disagreement that engineer Bob Cates was having with the Mexican engineer on layout to Bob’s former boss, Sam Sargis. 5. To begin with, firms must recognize the potential problems, and then set up a mechanism to deal with them before they are full-blossomed. One possible approach to the problem might be to rotate people in and out of the project. This would involve shorter absences from their regular jobs. On that basis, more people like Bert Mill might be willing to work on the project. In addition, more people would have an opportunity to expand their horizons. Practically speaking, it is the responsibility of top management to encourage division managers to support projects such as this one. Without top management pushing this, there will be continual friction between division managers and project managers. 17-26 Chapter 17 - Project Management Case: Time, Please Critical path is the longest path, therefore expected completion time of the project is 14 weeks. .45 14 17.29 0 1.645 Time (weeks) Z ETp + Zp = 14 + (1.645)(2) = 17.29 weeks Justification: Path A has a higher standard deviation then path B. If we base the project completion time on path A, then the estimated completion time (due date) of 16.58* weeks will not result in a 95% chance of completing the project by the due date. If Smitty uses 16.58 weeks as the estimated project completion time, we can only be 90.15%** certain of completing the project on or before the due date of 16.58 weeks. Therefore, 17.29 weeks should be stated as the estimated project completion time. * 10 weeks + 1.645 (4) = 16.58 weeks ** Z = (16.58 – 14) / 2 = 1.29 and P(Z < 1.29) = .5 + .4015 = .9015 = 90.15%. 17-27