A Conceptual Model for VMI in Reverse Supply Chains

Document Type: Conceptual Paper


1 Department of Industrial Engineering, Yazd University, Yazd, Iran

2 Associate Professor of Industrial Engineering, Department of Industrial Engineering, Yazd University, Yazd, Iran


The importance and role of reverse supply chain in gaining competitive advantage has been recognized especially in recent years. However the high costs of implementing and installing these chains works as an impediment for managers. Collaboration as a key to success in supply chains can be a way to decrease the costs and make reverse supply chains economically attractive. This paper proposes a conceptual model for collaboration between reverse supply chains in accordance with VMI in forward supply chains. Firstly a conceptual model is defined by introducing members and assumptions needed for that. Then a collaborative process for collection and routing between members of these chains and a heuristic method using modified tabu search for finding the best routs are defined. Finally an example is solved for some separate reverse supply chains once in the case of isolated chains and then for the collaboration between them in the suggested form of this paper.


Aras, N., Aksen, D., & Tekin, M. T. (2011). Selective multi-depot vehicle routing problem with pricing. Transportation Research Part C , 19, 866–884.
Audy, J. F., Amours, S. D., Lehoux, N., & Rönnqvist, M. (2010). Coordination in collaborative logistics. International workshop on supply chain models for shared resource management. Brussels.
Bai, H. (2009). Reverse Supply Chain Coordination and Design for Profitable Returns- An Example of Ink Cartridge. Worcester: Worcester Polytechnic Institute.
Bellmunt, T. V., Fernández, M. M., & Vicedo, J. C. (2011). Supply chain management: A multidisciplinary content analysis of vertical relations between companies, 1997–2006. Industrial Marketing Management .
Beullens, P., Van Wassenhove, L., & Van Oudheusden, D. (2004). Collection and Vehicle Routing Issues in Reverse Logistics. In R. Dekker, M. Fleischmann, K. Inderfurth, & L. N. Van Wassenhove, Reverse Logistics-Quantitative Models for Closed-Loop Supply Chains. Verlag: Springer.
Cachon, G. P. (2003). Supply Chain Coordination with Contracts. In S. Graves, & T. d. Kok, Handbooks in Operations Research and Management Science: Supply Chain Management. Philadelphia: North-Holland.
Cachon, G. P., & Lariviere, M. A. (2005). Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations. Management Science , 51 (1), 30-44.
de Brito, M. P., & Dekker, R. (2002). Reverse logistics-a framework. Erasmus University.
de Brito, M. P., Flapper, S. D., & Dekker, R. (2002). Reverse Logistics:a review of case studies. Erasmus Universiteit. Erasmus Research Institute of Management.
Dehghan, M and Karimi, B. (2006), Feasibility Study of VMI System in Supply Chain of Shahrvand, Confrence of Logistics and Suply Chain
Dethloff, J. (2001). Vehicle routing and reverse logistics: the vehicle routing problem with simultaneous delivery and pickup. OR Spetrum , 23 (1), 79-96.
Disney, S. M., & Towill, D. R. (2003, August). The effect of Vendor Managed Inventory (VMI) dynamics on the Bullwhip Effect in supply chains. International Journal of Production Economics , 199-215.
Dowlatshahi, S. (2000). Developing a theory of reverse logistics. Interfaces , 30, 143–155.
Fleischmann, M., Bloemhof-Ruwaard, J. M., Dekker, R., van der Laan, E., van Nunen, J. A., & Van-Wassenhove, L. N. (1997). Quantitative models for reverse logistics: A review. European Journal of Operational Rcsearch , 103, 1-17.
Glover, F. (1990). Tabu Search: A Tutorial. Interfaces , 20 (Special Issue on the Practice of Mathematical Programming), 74-94.
Gou, Q., Liang, L., Huang, Z., & Xu, C. (2008). A joint inventory model for an open-loop reverse supply chain. International Journal Production Economics , 116, 28-42.
Gou, Q., Liang, L., Xu, C., & Zhou, C. (2007). A modiļ¬cation for a centralized inventory policy for an Open-Loop reverse supply chain: simulation and comparison. Proceedings of 2007 International Conference on Management Science and Engineering Management, (pp. 223-230).
Govindan, K., & Popiuc, M. N. (2011). Overview and Classification of Coordination Contracts within Forward and Reverse Supply Chains. University of Southern Denmark, Department of Business and Economics. University of Southern Denmark.
Haghighirad, F. (2010), an integrated model for inventory and production in reverese logisitics, PhD thesis, Tarbiat Modarres University.
Häkkinen, K., Salmela, E., & Lukka, A. (2006). Outsourcing and Logistics Service Providers: Summary of the Case Study in the Finnish Metal Industry. Logistics Research Network Annual Conference. Dublin.
Hernández, J. E., Poler, R., Mula, J., & Lario, F. C. (2011). The Reverse Logistic Process of an Automobile Supply Chain Network Supported by a Collaborative Decision-Making Model. Group Decis Negot , 20, 79–114.
Hu, W. t. (2008). Supply Chain Coordination Contracts with Free Replacement Warranty. PhD thesis, Drexel University, Decision Sciences.
Jayant, A., Gupta, P., & Garg, S. K. (2012). Perspectives in Reverse Supply Chain Management(R-SCM): A State of the Art Literature Review. Jordan Journal of Mechanical and Industrial Engineering , 6 (1), 87-102.
Juan, Q. J., & Daozhi, Z. (2013). Research on the Supply Chain Buy-Back Modes Based on the Consumer’s Strategic Returns with the Competition. Research Journal of Applied Sciences, Engineering and Technology , 5 (5), 1503-1510.
Kampstra, R. P., Ashayeri, J., & Gattorna, J. (2006). Realities of Supply Chain Collaboration. Tilburg University, Netherlands.
Kolfschoten, G. L. (2007). Theoretical Foundations for Collaboration Engineering. Faculty of Technology Policy and Management, Department of Systems Engineering. Netherlands: Delft University of Technology.
Kovács, G. (2005). Supply Chain Collaboration for Sustainability. Business Strategy and the Environment Conference.
Lambert, S., Riopel, D., & Abdul-Kader, W. (2011). A Reverse Logistics Decisions Conceptual Framework. Computers & Industrial Engineering .
Laseter, T. M., Weiss, E. N., & Wei, K. K. (2008). Structural Supply Chain Collaboration among Grocery Manufacturers. In C. S. Tang, C. P. Teo, & K. K. Wei, Supply Chain Analysis, A Handbook of Interaction of Information, System and Optimization (pp. 29-44). Springer.
le Blanc, H. M. (2006). Closing Loops in Supply Chain Management: Designing Reverse Supply Chains for End-Of-Life Vehicles. PhD thesis, centER, Tilburg University, Tilburg.
Levi, D. S., Kaminsky, P., & Levi, E. S. (2002). Designing and Managing the Supply Chain: Concepts, Strategies & Case Studies. Irwin: McGraw-Hill.
McLarn, T., Head, M., & Yuan, Y. (2002). Supply Chain Collaboration Alternative: Understanding the Expected Costs and Benefits. Electronic Networking Applications and Policy , 12 (4), 348-364.
Monczka, R. M., Handfield, R. B., Giunipero, L. C., & Patterson, J. L. (2010). Purchasing and Supply Chain Management ,. Cengage Learning EMEA.
Nikoofal, M. E., & Moattar Husseini, M. (2010). An inventory model with dependent returns and disposal cost. International Journal of Industrial Engineering Computations , 1, 45–54.
Pokharel, S., & Mutha, A. (2009). Perspectives in Reverse Logistics: A Review. Resources, Conservation and Recycling (53), 175–182.
Sarkis, J., Zhu, Q., & Lai, K. h. (2011). An organizational theoretic review of green supply chain management literature. International Journal Production Economics , 130, 1-15.
SCMR and CSC. (2007). The fifth annual global survey of supply chain progress. www.csc.com.
SCMR and CSC. (2004). The second annual global survey of supply chain progress. Supply Chain Management Review (SCMR) and Computer Sciences Corporation (CSC). www.csc.com.
Thacker, B. H., Doebling, S. W., Hemez, F. M., Anderson, M. C., Pepin, J. E., & Rodriguez, E. A. (2004). Concepts of Model Verification and Validation. Technical Report, Los Alamos National Lab., Los Alamos, NM (US).
Wanhang, S. S. (2007). Effective Contracts in Supply Chains. PhD thesis, Massachusetts Institute of Technology, Sloan School of management.
Wenbin, W., & Qingli, D. (2010). The Design of Subsidy Contract for Reverse Supply Chain Coordination under Random Collection Quantity. International Conference on E-Business and E-Government (pp. 4775-4778). Washington DC, USA: IEEE Computer Society.
Zhang, Y., & Sun, J. (2004). Cooperation in Reverse Logistics. The Fourth International Conference on Electronic Business (ICEB2004). Beijing