Emergency transshipment in decentralized dealer networks: When to send and accept transshipment requests

While there has been significant previous literature on inventory transshipment, most research has focused on the dealers' demand filling decision (when to fill transshipment requests from other dealers), ignoring the requesting decision (when to send transshipment requests to other dealers). In this paper we develop optimal inventory transshipment policies that incorporate both types of decisions. We consider a decentralized system in which the dealers are independent of the manufacturer and of each other. We first study a network consisting of a very large number of dealers. We prove that the optimal inventory and transshipment decisions for an individual dealer are controlled by threshold rationing and requesting levels. Then, in order to study the impact of transshipment among independent dealers in a smaller dealer network, we consider a decentralized two‐dealer network and use a game theoretic approach to characterize the equilibrium inventory strategies of the individual dealers. An extensive numerical study highlights the impact of the requesting decision on the dealers' equilibrium behavior in a decentralized setting. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

[1]  Steven A. Lippman,et al.  Applying a New Device in the Optimization of Exponential Queuing Systems , 1975, Oper. Res..

[2]  Richard F. Serfozo,et al.  Technical Note - An Equivalence Between Continuous and Discrete Time Markov Decision Processes , 1979, Oper. Res..

[3]  Paul H. Zipkin,et al.  Inventory service-level measures: convexity and approximation , 1986 .

[4]  Edward A. Silver,et al.  Analysis of a two-echelon inventory control system with complete redistribution , 1987 .

[5]  George Tagaras,et al.  Effects of pooling on the optimization and service levels of two-location inventory systems , 1989 .

[6]  Fangruo Chen,et al.  Inventory models with general backorder costs , 1993 .

[7]  Eb Erik Diks,et al.  Controlling a divergent 2-echelon network with transshipments using the consistent appropriate share rationing policy : working paper , 1996 .

[8]  Albert Y. Ha Stock-rationing policy for a make-to-stock production system with two priority classes and backordering , 1997 .

[9]  L. Thomas,et al.  An optimal policy for a two depot inventory problem with stock transfer , 1997 .

[10]  Albert Y. Ha Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System , 1997, Oper. Res..

[11]  Albert Y. Ha Inventory rationing in a make-to-stock production system with several demand classes and lost sales , 1997 .

[12]  Izak Duenyas,et al.  Optimal Admission Control and Sequencing in a Make-to-Stock/Make-to-Order Production System , 2000, Oper. Res..

[13]  Nils Rudi,et al.  A Two-Location Inventory Model with Transshipment and Local Decision Making , 2001, Manag. Sci..

[14]  Eitan Zemel,et al.  A General Framework for the Study of Decentralized Distribution Systems , 2001, Manuf. Serv. Oper. Manag..

[15]  Jovan Grahovac,et al.  Sharing and Lateral Transshipment of Inventory in a Supply Chain with Expensive Low-Demand Items , 2001, Manag. Sci..

[16]  Yves Dallery,et al.  Optimal Stock Allocation for a Capacitated Supply System , 2002, Manag. Sci..

[17]  Daniel Granot,et al.  A Three-Stage Model for a Decentralized Distribution System of Retailers , 2003, Oper. Res..

[18]  Sven Axsäter,et al.  A New Decision Rule for Lateral Transshipments in Inventory Systems , 2003, Manag. Sci..

[19]  Karen Donohue,et al.  A Threshold Inventory Rationing Policy for Service - Differentiated Demand Classes , 2003, Manag. Sci..

[20]  Vipul Agrawal,et al.  Dynamic balancing of inventory in supply chains , 2004, Eur. J. Oper. Res..

[21]  Hui Zhao,et al.  Inventory Sharing and Rationing in Decentralized Dealer Networks , 2005, Manag. Sci..