재고비용할당을 위한 비례적 접근법 = The Proportional Method for Inventory Cost Allocation

다국어 초록 (Multilingual Abstract)

The cooperative game theory consists of a set of players and utility function that has positive values for a subset of players, called coalition, in the game. The purpose of cost allocation method is to allocate the relevant cost among game players in a fair and rational way. Therefore, cost allocation method based on cooperative game theory has been applied in many areas for fair and reasonable cost allocation. On the other hand, the desirable characteristics of the cost allocation method are Pareto optimality, rationality, and marginality. Pareto optimality means that costs are entirely paid by participating players. Rationality means that by joining the grand coalition, players do not pay more than they would if they chose to be part of any smaller coalition of players. Marginality means that players are charged at least enough to cover their marginal costs. If these characteristics are all met, the solution of cost allocation method exists in the core. In this study, proportional method is applied to EOQ inventory game and EPQ inventory game with shortage. Proportional method is a method that allocates costs proportionally to a certain allocator. This method has been applied to a variety of problems because of its convenience and simple calculations. However, depending on what the allocator is used for, the proportional method has a weakness that its solution may not exist in the core.
Three allocators such as demand, marginal cost, and cost are considered. We prove that the solution of the proportional method to demand and the proportional method to marginal cost for EOQ game and EPQ game with shortage is in the core. The counterexample also shows that the solution of the proportional method to cost does not exist in the core.

참고문헌 (Reference)

1 이동주, "판매자와 구매자의 재고상한이 존재하는 VMI" 한국산업경영시스템학회 40 (40): 105-111, 2017

2 이동주, "재고비용할당을 위한 협조적 게임이론 기법" 대한설비관리학회 23 (23): 35-44, 2018

3 이성재, "샤플리값을 이용한 한국읜 소득 및 자산 불평등의 원천별 기여도 분석" 한국경제의 분석패널 23 (23): 57-109, 2017

4 김두환, "거래비용을 고려한 기업 간 공유경제에서의 이익 배분 방안" 한국산업정보학회 20 (20): 111-126, 2015

5 Muller, A., "The Newsvendor Game Has a Nonempty Core" 38 (38): 118-126, 2002

6 Meca, A., "Inventory games" 156 (156): 127-139, 2004

7 Straffin, P. D., "Game Theory and Strategy" The Mathematical Association of America 1993

8 Owen, G., "Game Theory" Academic Press 1995

9 박선영, "Fair Revenue Sharing for Public Transportation System in Seoul Metropolitan Area" 한국재정학회 4 (4): 135-162, 2011

10 Hartman, B.C., "Cost Allocation in Continuous-Review Inventory Models" 43 (43): 549-561, 1996

11 Hartman, B.C., "Cores of Inventory Centralization Games" 31 (31): 26-49, 2000

12 Fiestras-Janeiro, M. G., "Cooperative game theory and inventory management" 210 (210): 459-466, 2011

13 Bernstein, F., "Cooperation in assembly systems : The role of knowledge sharing networks" 240 (240): 160-171, 2015

14 Meca, A., "Cooperation and competition in inventory games" 57 (57): 481-493, 2003

15 신현준, "Collaborative Vendor Managed Inventory Models for Managing 2-Echelon Supply Chains with the Consideration of Shortage in Demand" 한국산학기술학회 9 (9): 556-563, 2008