Analysis of Supply Chain Models in a System of Systems Context Widad El Mrabet1 1 Mohammed V University in Rabat EMI SIWEB Team Rabat, Morocco widad.elmrabet@gmail.com Nissrine Souissi1,2 2 Computer sciences Department MINES-RABAT School Rabat, Morocco souissi@enim.ac.ma Abstract— In order to remain competitive in a globalized environment and to always offer products and services more adapted to the customer’s expectations, the excellence of the supply chain is mandatory. Changes and pressures in the economic environment force supply chain models to change. This paper examines the different supply chain models in the literature, particularly those that integrate the complexity and the paradigm of System of Systems. These models were studied according to four main approaches: objects approach, agents approach, hierarchical approach and network approach. This paper also shows a new perspective of the SCOR (Supply Chain Operations Reference) model that includes the following six key processes: Plan, Source, Make, Deliver, Return and Enable. This new perspective emphasizes the System of Systems aspect of each of the SCOR model processes; an analogy with the Zara model has highlighted this prospect. From this study, we identify our supply chain model consisting of the following six subsystems: Plan, Source, Make, Deliver, Return and Enable. Keywords—supply chain model; system of systems; SOS; SCOR model; Zara supply chain model; global supply chain I. Kawtar Tikito1,2 Introduction In order to respond to globalization and an increased competitive pressure, companies are cooperating more with their suppliers and customers. These relational transformations have given rise to the emergence of networks of companies, organizations in which the supply chains are registered. Providing a competitive advantage based on value creation and the integration of companies within supply chains enables them to reduce costs, increase asset productivity, maximize profits and highlight new capacities of flexibility and responsiveness. The supply chains thus represent a competitive advantage that companies seek to perpetuate. With a view to continuously adjusting their structures and operations, it is essential for decision-makers to be able to study their organizations. It is also necessary to use appropriate models and methods to facilitate the study and analysis of supply chains. A model is a simplified representation of a real system, allowing it to be analyzed, controlled and piloted. In the literature, several authors have been interested in the modeling of supply chains and in the simulation of the generated models. We are interested here in supply chain models seen as a system of systems. Indeed, after a review of the literature on supply chain definitions in [1], we have chosen the definition which considers the supply chain as system of systems by referring to five main criteria: (i) the 2 Computer sciences Department MINES-RABAT School Rabat, Morocco tikito@enim.ac.ma managerial independence of the elements, (ii) the operational independence of the elements, (iii) evolutionary development, (iv) emergence, (v) geographic distribution, and from now on, we view the supply chain as a system of systems whose elements are evolving, governed by complex interactions and which are independent both managerial and operational. The aim of this article is to establish a state of the art of scientific work that deals with the modeling of supply chains seen as systems of systems. This paper is organized into six sections, the first one is a general introduction, the second section deals with the research method, the third section presents the SoS vision of the SCOR model with an example of motivation, the fourth section respectively analyze the objects, agents, hierarchical and network approaches, the fifth section presents an analysis of the results found, and the last section is a general conclusion. II. Research Methodology In order to propose a model of a supply chain, a review of the literature on supply chain modeling seen as a system of systems is needed. For this purpose, we have carried out a search for the models of supply chains proposed over time, starting from the year 2003. The choice of this date was imposed by the results of the article 'Definitions of Supply Chain-Evolution towards System of Systems' in which, from that date, the supply chain is considered as a system of systems. The scientific databases used are: Science Direct, IEEE Xplore, HAL Archives Ouvertes, Google Scholar. These data sources mainly cover journals and newspapers, proceedings of conferences such as European Engineering Management, Journal of Operational Research, Omega, IEEE Engineering Management and Management Science. The deployed keywords are: Supply chain, Model, Modeling, Complex, State of the art, SLR, Literature Review, System, System of systems, SoS. These keywords have been used through several combinations, namely: Supply Chain Modeling, modeling complexity supply chain, State of the art supply chain models. As a first step, we identify the studied references considering the supply chain as a complex system. It should be noted that among the 28 contributions studied in this direction, 19 authors proposed in their work a model of the supply chain. The authors [2]–[10] don’t provide a model for their supply chain, therefore, our study will focus solely on contributions to supply chain modeling. In the current economic context, models allow companies to assess the agility of their organizations and anticipate their responsiveness to perpetual changes in the environment (competition, innovations, etc.). This evaluation is part of an approach to understanding and improving their value creation processes. In this framework, multiple modeling approaches are used to describe and analyze the organization. In this sense, and in order to identify all modeling paradigms, we turned to the work of Olivier (Olivier Labarthe 2006) and Fairouz [12] who reviewed the different models and they proposed the taxonomy which is composed of 3 classes of models: organizational models, analytical models and simulation models. First of all, we examined the works cited by the two authors in the different approaches, then we applied the two filters used previously; we kept only the papers from 2003and the one that attribute the complexity aspect to the supply chain. Works that meets these two criteria uses objects, agents and hierarchical approaches. And actually, we have added another paradigm of modeling adopted by the authors to describe the supply chain, which is the network approach. Thus, we find ourselves with a classification of the models according to 4 main classes: the objects approach, the agents approach, the hierarchical approach and the network approach. The new taxonomy is presented in Fig. 1. A. SCOR model The SCOR (Supply Chain Operations Reference) model developed by the Supply Chain Council is a tool for stakeholders in global logistics processes [13]. It allows the dialogue between each part thanks to a standardized language. The SCOR model was developed in 1996 by the Supply Chain Council (SCC) and is now part of the American Production and Inventory Control Society (APICS).The SCOR model is currently used as a reference for multiple industrial and service sectors in the world. Moreover, due to its complete structure, this model has become a de facto standard on the market. SCOR is a modeling tool. It defines a methodology, processes, indicators and best practices of the moment to represent, evaluate and diagnose the supply chain. The model itself has several sections and relies essentially on six management processes, as shown in Fig. 2: Plan, Supply, Make, Deliver, Return and Enable. By describing supply chains using these process blocks, this model can be used to illustrate simple or complex supply chains using a common set of definitions. The model could successfully describe the supply chain and provide a path for improvement for both global and specific projects. These processes are presented in Fig. 2. Fig. 2. The SCOR model organized around 6 processes. This version of the SCOR model is the version 12.0 since its introduction in 1996. Model’s revisions are made in order to facilitate practical use. Fig. 1. Supply chain modeling approaches. Through the literature, many models have been proposed under different approaches presented in detail in the forth section. In the next section, we present the SOS vision of the SCOR model in order to propose afterward a correspondence between the elements of the SCOR paradigm and the constituents of the supply chain according to each author. III. SCOR model: System of Systems vision In this section, we are interested in the SCOR model, which is a standard diagnostic tool for the supply chain. We present a consistent definition of the model, then we study the Zara model as an example of motivation and finally we demonstrate that the SCOR model represents the characteristics of a SoS. B. Motivation example: Zara Zara is a fashion franchise and chain of fashion stores established in 1975 by the Spanish group Inditex whose founder former chairman is Amancio Ortega. Besides Zara, the group also owns the brands Bershka, Massimo Dutti, Pull and Bear, Stradivarius, Oysho, Zara Home and Uterque. Over the past two decades, Zara has tripled its profits and stores, and today, the brand is ranked third among the largest retailers in the world [14]. Zara has a staff of 3000 in-house designers located in its headquarters in the region of Coruña, Spain, which designs more than 40,000 items per year, of which only 10,000 are selected for production [15]. Unlike its competitors, more than 50% of its production is based in Europe and not in Asia or South America [16]. In September 2010, the Inditex Group has more than 7,000 stores in 91 countries around the world. Indeed, the credit goes to Zara who has become a pioneer in the agile supply chain and most researchers attribute its success to its efficiency[14], [17]–[19]. Zhang [14] suggests that "the entire supply chain process in Zara could be divided into four parts: the organization and design of the product; purchase and production; product distribution, sales and return management". In recent decades, the brand has introduced the agile supply chain in the fashion industry and Zara has managed to stand out thanks to its client/designer communication strategy and its ability to deliver the desired items within an average of one week. Using a fast and relevant response to customer expectations, Zara aims to reduce both the surplus stock in the supply chain and the risk associated with the forecast because the product specifications are not finalized until the date of delivery is close [16]. In the next section, we will refer to the Zara model to illustrate the SoS aspect of the SCOR model processes. C. System of Systems vision of the SCOR model In this section, we detail each SCOR model process and demonstrate the characteristics of a SoS in the set of processes in order to build our supply chain model. Plan is a process for the organization of other processes in the supply chain. This process aims to achieve a balance between supply and demand, from primary suppliers to end customers, in order to provide superior goods and services through supply chain optimization. Supply chain agility is essential for the rapid introduction of new products in response to evolving customer needs and responding effectively to changes in quantity and time delivery requirements [20]. As an example, Zara's highly responsive supply chain enables the company to produce and offer new models from week to week and make them available to its stores around the world in just 15 days [21]. Source is defined through the activities necessary to recover raw material in order to manufacture the product. This process involves the acquisition of goods to meet the demand. It includes identifying, selecting and measuring the performance of sources of supply, and the delivery and receipt of materials [22]. The globalization of supply chains has encouraged firms to seek low-cost supplies by pursuing more control by seeking to manage multiple supply levels and split purchases of spending across multiple sources to stimulate competition [23]. Zara manufactures its clothing using a combination of flexible and fast sources in Europe and inexpensive sources in Asia [21]. Make represents all the activities necessary to produce the product, manufacture it and store it. It is mainly based on product design and production and service management [22]. A supply chain consists of definable supply chain echelons, where each supply chain echelon can include several dispersed production sites throughout the world that perform the same or at least homogeneous processes. The supply chain partners are legally and economically independent [24]. Zara has a large part of its production capacity in Portugal and Spain despite a higher cost. Local capacity enables the company to respond quickly to the changing trends of fashion in Europe. Her responsiveness to changing fashion trends has enabled Zara to become one of the most dynamic clothing retailers in the world [21]. Deliver encompasses all activities that support customer orders and delivery. It includes order management (order entry and processing), transport management and delivery to customers [22]. Zara has centralized all its European distribution and part of its worldwide distribution in a single distribution center in Spain. Other smaller satellite distribution centers are located in the countries of Latin America. Shipments from distribution centers to stores are made twice a week. This allows stock inventories to align closely with customer demand [21]. Return a recent process in the model taking into account all the activities necessary to manage the return of the product by the customer or by another link of the network. This is the reverse logistics process for the returned product or equipment, including repair, maintenance and overhaul [22]. Enable is a process that aims to support the other five processes with best practices to assist these steps. This sixth process manages all existing interactions between processes. These processes include business rule management, performance management, data management, resource management, facility management, contract management, supply chain network management, regulatory compliance management and management of the risks [25]. As a result, we consider that each process of the SCOR model is a system and the set of these processes constitutes a System of Systems (SoS), therefore, we adopt the SCOR paradigm to establish our supply chain model. In the following section, we will establish a correlation matrix between SCOR’s systems and the components of the supply chain according to each author. IV. Supply Chain Modeling Approaches A. Objects approach The object paradigm is used to model concepts and physical entities. Each object has an internal structure and a behavior. In this section, the authors propose an objectoriented simulation architecture for model creation, storage and execution via an information exchange language based on UML (Unified Modeling Language) or SysML (Systems Modeling Language) [26]. The final model proposed by the five authors [27]–[31] under this category is composed of a number of objects, and organized into classes to establish a hierarchy of objects. These objects interact via messages and events. To ensure efficient modeling and structure, the basic classes implemented via UML and the activity and block diagrams via SysML represent the elements of the supply chain, whether entities or processes. Ogier [29] presents his UML model and considers that the supply chain is divided into sub-chains that correspond to portions of the supply chain within which the actors have a greater proximity and share a common objective. Table I shows the correspondence between the elements of the supply chain defined by the authors under this category and the 6 typical processes of the SCOR model. Sprock & McGinnis [30] use the SysML language to model the supply chain. They state that the object-oriented modeling paradigm is a natural way to model a complex The authors [32][11][33][34][35][22][36][37] rely on multiagent systems to model the supply chain. This consists of a set of agents operating in an environment. These agents are autonomous entities that can control their actions and their internal state. They have a social capacity since they can interact with other agents using a communication language. They are reactive in their way of perceiving the environment and reacting to the changes that are occurring. They not only act in response to their environment, they can also take initiatives and be pro-active. Dominguez[37] adopts this paradigm and in his model there are nine agents and three Swarms. The agents are the basic elements of the simulation model. They represent the main functions of the company (functional agents in the framework).Table III shows the correspondence between the elements of the supply chain defined by the authors under this category and the 6 typical processes of the SCOR model. system because it relies on the ability of the domain expert to display a system as collections of related objects, including attributes of those objects, subcomponents of these objects, and groupings of similar objects. The SysML language is a very expressive language for the modeling of specific problems and the capture of reusable knowledge on a domain. Table II shows the correspondence between the elements of the supply chain defined by the authors under this category and the 6 typical processes of the SCOR model. B. Agents approach The agent-oriented modeling approach makes it possible to represent the system through the identification and the specification of the behavior of the individuals in interactions that compose it. It is interested in the representation of the behaviors of the entities of the system and their interactions. The agents encapsulate the behaviors of each individual in order to build a system. Agent-oriented modeling is particularly suited for the representation of organizations that have modular structures where the decision making is distributed and the environment is highly dynamic. C. Hierarchical approch It is a hierarchical decomposition to represent the functions of the company in interactions composing the supply chain. TABLE I. Objects approach / UML vs SCOR SCOR Model Plan Source Make Deliver Return Enable 1 S. Biswas et Y. Narahari (2004) Order, Order management policy, Supply planning policy, Demand planning policy Inventory policy, Supplier Plant, Manufacturing policy Warehouse, Vehicle, Retailer, Distributor,Inventory policy, Distribution policy _ _ 2 DingHongwei (2004) _ Suppliers Factories Distribution centers, Transport links Information links Firm 3 MaximeOgier (2013) Planning _ _ _ _ Environment, Monitoring System, MonitoringActor TABLE II. Objects approach / SysML vs SCOR SCOR Model 4 5 L. McGinnis et G.Thiers (2011) L. McGinnis et T. Sprock (2014) Plan Source Make Deliver Return Enable Market/Plan Source, Move/Store Engineer, Make Deliver Sustain _ Plan Source Make Deliver Return Enable TABLE III. Agents approach vs SCOR SCOR 6 7 8 Model Plan Source Make Deliver Return Enable S. Bruenckner et al. (2005) Olivier Labarthe (2006) K Mustapha et al. (2010) PPIC agent: Production Planning and Inventory Control Boundary supplier Intermediate firm Shipping agent _ _ _ _ Distributor, Distribution, Retailer, Sale, Packaging _ Firm _ Supplier Production, Groupage, Assembly,Finish Production manager, Machine Transporter, Truck, Stock _ _ _ _ _ 9 Dong Xia Zheng (2010) _ Supplier, Agent Group Manufacturer Agent Group Distributor Agent Group, Transportation Agent Group 10 Yan-Ling Wang (2010) _ Supplier agents, Third-party logistics provider agent Manufacturer agents Distributor agents, Retailer agents _ Planning Procurement Production Distribution Return management _ Suppliers Production centers Retailer, Wholesalers, Distributors _ _ Demand Fulfilment, MRP, Demand Forecast, Master Planning, Production Planning Source Agent Make Agent Deliver Agent Deliver Agent _ 11 12 13 Tounsi Jihène(2011) M. Boufaida et S. Boudouda (2012) Roberto Domínguez (2015) on the three systems cited previously, adding another subsystem which is the environment subsystem. Table IV shows the correspondence between the elements of the supply chain defined by the authors under this category and the 6 typical processes of the SCOR model. This approach can be divided into two approaches: Cartesian approach: this approach is based on a functional and hierarchical analysis of the systems. To do this, it advocates the decomposition of a system into functional subsystems; however, this approach takes little account of the interactions between the subsystems. It is based on the techniques of the descending decomposition of a function in sub-functions, until reaching a level of granularity sufficiently fine to understand the complexity of a system. As an example, Herrmann et al [38] propose their supply chain design using the Cartesian approach: the first level is the simulation model, the second level contains sub-models corresponding to the participants in the supply chain (consumers, producers and traders). The third level includes sub-models that correspond to the process elements (for all process categories) that each participant performs. D. Network approach The most common representation of graphs or networks is the node-link representation. This representation has the advantage of being familiar to the majority of researchers. In fact, the four authors [40][41][42][43] under this category consider this paradigm useful for modeling a supply chain. This type of modeling relies on a network which is "essentially all that can be represented by a graph: a set of points (also called generic nodes or vertices), linked by links (edges, links) representing a certain relation [41].Yongxia [43] perceives that the supply chain is a complex system and that the core company, upstream suppliers, sub-suppliers, suppliers of raw materials, distributors and retailers of these suppliers together form a network. Table V shows the correspondence between the elements of the supply chain defined by the authors under this category and the 6 typical processes of the SCOR model. Systemic approach: unlike the Cartesian approach which dissociates and decomposes, the systemic approach associates and brings together in order to take into account the global vision of a problem. According to this approach, the dynamic representation of a system is composed of three subsystems that would be operating system, information system and decision system. In this respect, Eulalia [39] adopts this vision and proposes its supply chain model based TABLE IV. Hierarchical approach vs SCOR SCOR Deliver Model Plan Source Make Return Enable 14 Herrmann et al. (2003) _ Producer Manufacturer Warehouse, Retailer _ _ 15 Eulalia Luis Antonio De Santa (2009) _ Supplier Manufacturer Warehouse, Wholesaler, Retailer _ _ TABLE V. Network approach vs SCOR SCOR Model 16 G. Ghiani et al. (2004) _ Suppliers Manufacturing centers, Assembly plant 17 A.Surana et al (2005) A. Bensmaine et al. (2010) _ Suppliers Manufacturers Deliver Centralized distribution centers, Regional distribution centers, Retail outlets, Transport links Distributors, Retailers _ _ Factories Distribution centers, Transport links _ _ Li Yongxia (2014) _ Secondary & Primary suppliers Critical entreprises Distributors, Retailers _ _ 18 19 V. Plan Source Make Research Analysis The SCOR model is transversal and allows defining a standard guide for companies, which defines a methodology, processes, indicators and best practices of the moment to represent, evaluate and diagnose supply chains. Its objective is to support companies in the field of supply chain management through the dissemination of good practices. The SCOR model resulting from this determination is now in its 13th revision. It identifies six key processes: Plan, Source, Make, Deliver, Return and Enable. In addition, the 19 models studied in this research report were classified according to Return Enable _ _ _ _ four main approaches of supply chain modeling: objects approach, agents approach, hierarchical approach and network approach. We found it judicious to analyze the different constituents of the supply chain according to each author and to extract the analogy with the SCOR model; in other words, we found the equivalence between the elements of the supply chain according to each model and the six processes of the SCOR model. We then regrouped the results obtained to get the graph of Fig. 4. On the basis of this graph, we note that the first system of the SCOR model ‘Plan’ is mentioned by only 7 authors. This system is a key element in supply chain management because it balances aggregate demand and supply to develop an action plan that takes best account of supply, production and deliveries. In this sense, [44] states that planning, whether in the context of chain control or in its definition (location of production and / or distribution sites), appears to be one of the essential elements of good management for it is capable to coordinate each entity. Moreover, the two systems Return and Enable are mentioned by only 4 out of 19 authors; however, this does not affect the importance of these two elements in the management of the global supply chain. In fact, we are now talking about a logistics return; the traditional linear model of the supply chain is gradually giving way to a circular model through which the recovered products are re-injected into the traditional supply chain. In other words, this is the system that takes place when the product is transferred and ownership of an end-of-service or end-of-life product from the customer to the manufacturer or supplier. It is a system that encompasses the "traditional" supply chain activities such as planning, flow management and inventory management in order to upgrade or dispose of the product in the best way[45]. As for the Enable system, it is of major importance because it represents the activities supporting the management of the supply chain, the various tasks and information useful for the realization of the "operational" processes. Our supply chain model is therefore composed of the six key processes of the SCOR model. In fact, as we have demonstrated in the previous section, each process constitutes a subsystem of the global supply chain system. approaches: objects approach, agents approach, hierarchical approach and network approach. We then demonstrated that each key process of the SCOR model represents the characteristics of a system of systems. In addition, it seemed interesting to draw an analogy between the elements of the supply chains proposed by the authors and the elements of the SCOR model. From this study, we identify our supply chain model consisting of the following six subsystems: Plan, Source, Make, Deliver, Return and Enable. This modeling introduces a clear illustration of the supply chain and will then allow to focus on each link and to identify it. It would then be wise to choose an adequate modeling language that will be able to understand the complexity of each subsystem while explaining the content of the subsystem, the flows involved, the requirements and the constraints. The proposed modeling framework should in fact enable better detection of malfunctions that may arise in a supply chain and should also serve as a basis for the construction of a conflict management referential. References [1] [2] [3] SCOR's Systems [4] Plan Source [5] Make [6] Deliver Return Enable 0 1 2 3 4 5 6 7 8 Models 9 10 11 12 13 14 15 16 17 18 19 20 [7] Fig. 4. Equivalence between Models & SCOR's Systems. VI. Conclusion In this new dynamic and uncertain universe, building a high-performance supply chain requires the implementation of certain priority actions. 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