Abstract
Inventory management is playing a key role in setting up efficient closed loop supply chains. Companies are recognizing product returns as a critical supply source, which they need to integrate into their material management. Uncertainty and a limited span of control add to the complexity of managing this particular source. In this chapter we review inventory management issues related to closed loop supply chains. We start by discussing different roles of inventories in this context and by proposing an overall framework. Subsequently, we review literature on corresponding mathematical inventory control models. To this end, we follow a standard structuring of traditional inventory theory and discuss applications to closed loop settings for each case. Our analysis is centered around highlighting novel characteristics entailed by a closed loop supply chain structure, in terms of both mathematics and business implications.
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References
Arkin, E., Joneja, D., Roundy, R. (1989): Computational complexity of uncapacitated multi-echelon production planning problems. In: Operations Research Letters 8, pp. 61–66.
Beltran, J.L., Krass, D. (2002): Dynamic lot sizing with returning items and disposals. In: IIE Transactions 34, pp. 437–448.
Buchanan, D.J., Abad, P.L. (1998): Optimal policy for a periodic review inventory system. In: IIE Transactions 30, pp. 1049–1055.
Buscher, U., Lindner, G. (2002): An optimal lot and batch size policy for a single item produced and remanufactured on one machine in the presence of limitations on the manufacturing and handling capacity. Working Paper, Faculty of Economics and Management, Otto-von-Guericke-University Magdeburg.
Chopra, S., Meindl, P. (2001): Supply Chain Management: Strategy, Planning and Operation. Prentice Hall, New Jersey.
Cohen M.A., Nahmias S., Pierskalla W.P. (1980): A dynamic inventory system with recycling. In: Naval Research Logistics Quarterly 27, pp. 289–296.
Clark, A.J., Scarf, H. (1960): Optimal policies for multi-echelon stochastic inventory systems. In: Management Science 6, pp. 475–490.
DeCroix, G.A. (2001): Optimal policy for a multi-echelon inventory system with remanufacturing. Working Paper, The Fuqua School of Business, Duke University.
DeCroix, G.A., Zipkin, P.H. (2002): Inventory management for an assembly system with product or component returns. Working Paper, The Fuqua School of Business, Duke University.
DeCroix, G.A., Song, J., Zipkin, P.H. (2002): A series system with returns: Stationary analysis. Working Paper, The Fuqua School of Business, Duke University.
Duales System (2002): Der grüne Punkt. Retrieved on August 6, 2002 from http://www.gruener-punkt.de/en/home.php3
Flapper, S.D.P., Franso,o J.C., Broekmeulen R.A.C.M., Inderfurth, K. (2002): Production planning and control of rework in the process industries: A review. In: Production Planning and Control 13, pp. 26–34.
Fleischmann, B. (2001a): On the use and misuse of holding cost models. In: Kischka, P., Leopold-Wildburger, U., Möhring, R.H., Radermacher, F.-J. (Eds.), Models, Methods and Decision Support for Management. Physica, Heidelberg, pp. 147–164.
Fleischmann, M. (2001b): Quantitative Models for Reverse Logistics. Springer, Berlin.
Fleischmann, M., Nunen, van J.A.E.E., Gräve, B. (2003): Integrating closed loop supply chains and spare parts management at IBM. In: Interfaces, forthcoming.
Fleischmann, M., Kuik, R. (2002): On optimal inventory control with independent stochastic item returns. In: European Journal of Operational Research, forthcoming.
Florian, M., Lenstra, J.K., Rinnooy, Kan A.H.G. (1980): Deterministic production planning: Algorithms and complexity. In: Management Science 26, pp. 669–679.
Golany,B., Yang, J., Yu, G. (2001): Economic lot-sizing with remanufacturing options. In: IIE Transactions 33, pp. 995–1003.
Guide, Jr V.D.R., Wassenhove, van L.N. (2003): Business Perspectives on Closed loop Supply Chains. Carnegie Bosch Foundation, Pittsburgh, Pennsylvania, forthcoming.
Heyman, D.P. (1977): Optimal disposal policies for a single-item inventory system with returns. In: Naval Research Logistics Quarterly 24, pp. 385–405.
Horngren, C.T., Datar, S.M., Foster, G. (2000): Cost Accounting, 11`h ed. Prentice-Hall, New Jersey.
Houtum, van G.J., Zijm, W.H.M. (1991): Computational procedures for stochastic multi-echelon production systems. In: International Journal of Production Economics 23, pp. 223–237.
Inderfurth, K. (1997): Simple optimal replenishment and disposal policies for a product recovery system with leadtimes. In:OR Spektrum 19, pp. 111–122.
Inderfurth, K., Jensen, T. (1999): Analysis of MRP policies with recovery options. In: Leopold-Wildburger U., Feichtinger G., Kistner K.P. (Eds.) Modelling and Decisions in Economics. Physica, Heidelberg, pp. 189–228.
Inderfurth, K., Laan, van der E.A. (2001): Lead time effects and policy improvement for stochastic inventory control with remanufacturing. In: International Journal of Production Economics 71, pp. 381–390.
JAMA (2002): Bill on Resource Recycling for Used Cars Gains Diet Passage, JAMA Press Room, retrieved on August 6, 2002 from http://jamaserv.jama.or.jp/egress/index.html
Kelle, P., Silver, E.A. (1989): Purchasing policy of new containers considering the returns of previously returned containers. In: IIE Transactions 21, pp. 349–354.
Kiesmüller, G.P., Minner, S. (2002): Simple expressions for finding recovery system inventory control parameter values. Journal of the Operational Research Society, forthcoming.
Kiesmüller, G.P., Laan, van der E.A. (2001): An inventory model with dependent product demands and returns. In: International Journal of Production Economics 72, pp. 73–87.
Laan, van der E.A. (1997): The Effects of Remanufacturing on Inventory Control. PhD Thesis, Rotterdam School of Management, Erasmus University Rotterdam.
Laan, van der E.A., Dekker, R., Salomon M. (1996): Production planning and inventory control with remanufacturing and disposal: A numerical comparison between alternative control strategies. In: International Journal of Production Economics 45, pp. 489498.
Laan, van der E.A., Salomon, M., Dekker, R., Wassenhove, van L.N. (1999): Inventory control in hybrid systems with remanufacturing. In: Management Science 45, pp. 733747.
Mahadevan, B., Pyke, D.F., Fleischmann M. (2002): Periodic review, push inventory policies for remanufacturing. In: European Journal of Operational Research, forthcoming.
Minner, S. (2001a). Strategic safety stocks in reverse logistics supply chains. In: International Journal of Production Economics 71, pp. 417–428.
Minner, S. (2001 b). Economic production and remanufacturing lot-sizing under constant demands and returns. In: Fleischmann B., Lasch R., Derigs U., Domschke W., Rieder U. (Eds.), Operations Research Proceedings 2000. Springer, Berlin Heidelberg New York, pp. 328–332.
Minner, S., Kiesmüller, G.P. (2002): Dynamic product acquisition in closed loop supply chains. Working Paper 9/2002, Faculty of Economics and Management, Otto-vonGuericke-University Magdeburg.
Minner, S., Kleber, R. (2001): Optimal control of production and remanufacturing in a simple recovery model with linear cost functions. In: OR Spektrum 23, pp. 3–24.
Moinzadeh, K. (1997): Replenishment and stocking policies for inventory systems with random deal offerings. In: Management Science 43, pp. 334–342.
Muckstadt, J.A., Isaac, M.H. (1981): An analysis of single-item inventory systems with returns. In: Naval Research Logistics Quarterly 28, pp. 237–254.
Nahmias, S., Rivera, H. (1979): A deterministic model for a repairable inventory system with a finite repair rate. In: International Journal of Production Research 17, pp. 215221.
REVLOG (2002): Revlog — The European Working Group on Reverse Logistics. Retrieved on September 26, 2002 from http://www.fbk.eur.nl/OZ/REVLOG.
Richter, K. (1996): The EOQ repair and waste disposal model with variable setup numbers. In:European Journal of Operational Research 96, pp. 313–324.
Richter, K., Sombrutzki, M. (2000): Remanufacturing planning for the reverse Wag- ner/Whitin models. In: European Journal of Operational Research 121, pp. 304–315.
Rosling, K. (1989): Optimal inventory policies for assembly systems under random demands. In: Operations Research 37, pp. 565–579.
Sherbrooke, C.C. (1992): Optimal Inventory Modeling of Systems: Multi-Echelon Techniques. Wiley, New York.
Silver, E.A., Pyke D.F., Peterson R. (1998): Inventory Management and Production Planning and Scheduling, 3rd edition. Wiley, New York.
Schrady, D. (1967): A deterministic inventory model for reparable items. In: Naval Research Logistics Quarterly 14, pp. 391–398.
Simpson, V.P. (1978): Optimum solution structure for a repairable inventory problem. In: Operations Research 26, pp. 270–281.
Teunter, R. (2001): Economic ordering quantities for recoverable item inventory systems. In: Naval Research Logistics 48, pp. 484–495.
Teunter, R., Inderfurth, K., Minner, S., Kleber, R. (2000a): Reverse logistics in a pharmaceutical company: A case study. Working Paper 15/2000, Faculty of Economics and Management, Otto-von-Guericke-University Magdeburg.
Teunter, R., Laan, van der E.A., Inderfurth, K. (2000b): How to set the holding cost rates in average cost inventory models with reverse logistics? In: Omega 28, pp. 409–415.
Teunter, R., Laan, van der E.A., Vlachos D. (2001): Inventory strategies with fast remanufacturing. Working Paper EI 2001–40, Econometric Institute, Erasmus University Rotterdam.
Teunter, R.H., Vlachos, D. (2002): On the necessity of a disposal option for returned items that can be remanufactured. In: International Journal of Production Economics 75, pp. 257–266.
Thierry, M.C., Salomon, M., Nunen, van J., Wassenhove, van L. (1995): Strategic issues in product recovery management. In: California Management Review 37, pp. 114–135.
Toktay, L.B., Wein, L.M., Zenios, S.A. (2000): Inventory management of remanufacturable products. In: Management Science 46, pp. 1412–1426.
Vlachos, D., Dekker, R. (2000): Return handling options and order quantities for single period products. Working Paper EI2000–29/A, Econometric Institute, Erasmus University Rotterdam.
VROM (2002): Waste of Electric and Electronic Equipment Decree, The Netherlands Ministry of Housing, Spatial Planning and the Environment. Retrieved on August 6, 2002 from http://www2.minvrom.nl/pagina.html?id=5003
Wagner H.M., Whitin T.M. (1958): Dynamic version of the economic lot size model. Management Science 5, pp. 89–96.
Whisler, W.D. (1967): A stochastic inventory model for rented equipment. In: Management Science 13, pp. 640–647.
Whittemore, A.S., Saunders, S.C. (1977): Optimal inventory under stochastic demand with two supply options. In: SIAM Journal of Applied Mathematics 32, pp. 293–305.
Wilens, C. (2002): Managing Returnable Packaging. Masters Thesis, Rotterdam School of Management, Erasmus University Rotterdam.
Wojanowski, R. (1999): Zur Güte von dynamischen Losgrößenheuristiken in einem deterministischen Produktions-Lagerhaltungsmodell mit Recycling. Masters Thesis, Faculty of Economics and Management, Otto-von-Guericke-University Magdeburg.
Yuan, X.M., Cheung, K.L. (1998): Modeling returns of merchandise in an inventory system. In:OR Spektrum 20, pp. 147–154.
Zheng, Y.S., Federgruen, A. (1991): Finding optimal (s,S) policies is about as simple as evaluating a single policy. In: Operations Research 39, pp. 654-665.
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Fleischmann, M., Minner, S. (2004). Inventory Management in Closed Loop Supply Chains. In: Dyckhoff, H., Lackes, R., Reese, J. (eds) Supply Chain Management and Reverse Logistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24815-6_6
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DOI: https://doi.org/10.1007/978-3-540-24815-6_6
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