论文信息 - A new cost allocation rule for inventory transportation systems

A new cost allocation rule for inventory transportation systems

Abstract In this paper we propose a context-specific cost allocation rule for inventory transportation systems. We consider the setting defined in Fiestras-Janeiro et al. (2012) [3] and propose a new cost allocation rule, the so-called AMEF value, which is inspired by the Shapley value. We prove that, under suitable conditions, the AMEF value provides core allocations. Besides, we provide a characterization of the AMEF value based on properties of balanced contributions, solidarity, and transfer.

[1] R. Myerson. Conference structures and fair allocation rules , 1978 .

[2] Paul H. Zipkin,et al. Foundations of Inventory Management , 2000 .

[3] Miguel Ángel Mirás Calvo. Juegos cooperativos con unidad transferible usando MATLAB: TUGlab , 2008 .

[4] L. S. Shapley,et al. 17. A Value for n-Person Games , 1953 .

[5] M. Gloria Fiestras-Janeiro,et al. Cooperative game theory and inventory management , 2011, Eur. J. Oper. Res..

[6] Moshe Dror,et al. Survey of cooperative inventory games and extensions , 2011, J. Oper. Res. Soc..

[7] M. G. Fiestras-Janeiro,et al. Cost allocation in inventory transportation systems , 2012 .

[8] M. Gloria Fiestras-Janeiro,et al. Cooperative games and cost allocation problems , 2011 .

[9] Ignacio García-Jurado,et al. Cooperation and competition in inventory games , 2003, Math. Methods Oper. Res..

[10] M. Ali Ülkü,et al. Comparison of Typical Shipment Consolidation Programs: Structural Results , 2009 .