# American Institute of Mathematical Sciences

January  2006, 2(1): 81-94. doi: 10.3934/jimo.2006.2.81

## Supply chain inventory management via a Stackelberg equilibrium

 1 Department of Information Management, Cheng Shiu University, No.840, Chengcing Rd., Niaosong Township, Kaohsiung County 833, Taiwan, R.O.C., Taiwan 2 A. G. Anderson Graduate School of Management, University of California, Riverside, CA 92521, United States 3 Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, R.O.C., Taiwan

Received  August 2005 Revised  November 2005 Published  January 2006

In this paper we consider one-buyer, one-seller, finite horizon, multi-period inventory models in which the economic order quantity is integrated with the economic production quantity (EOQ-EPQ in short). We introduce the Stackelberg equilibrium framework in which the objective is to maximize the vendor's total benefit subject to the minimum total cost that the buyer is willing to incur. Some existence results, optimality conditions and the optimal replenishment policy under the Stackelberg equilibrium concept are obtained and a numerical algorithm and examples are presented to find the optimal replenishment policy in practice.
Citation: Yeong-Cheng Liou, Siegfried Schaible, Jen-Chih Yao. Supply chain inventory management via a Stackelberg equilibrium. Journal of Industrial & Management Optimization, 2006, 2 (1) : 81-94. doi: 10.3934/jimo.2006.2.81
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