Design and analysis of mechanisms for decentralized joint replenishment


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GÖLER K., Korpeoglu E., ŞEN A.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, cilt.259, sa.3, ss.992-1002, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 259 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.ejor.2016.11.029
  • Dergi Adı: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.992-1002
  • Anahtar Kelimeler: Game Theory, Inventory, Joint replenishment, Economic Order Quantity model, Mechanism design, COST ALLOCATION, INVENTORY GAMES, COOPERATION, EFFICIENT, MODELS
  • Anadolu Üniversitesi Adresli: Evet

Özet

We consider jointly replenishing multiple firms that operate under an EOQ like environment in a decentralized, non-cooperative setting. Each firm's demand rate and inventory holding cost rate are private information. We are interested in finding a mechanism that would determine the joint replenishment frequency and allocate the joint ordering costs to these firms based on their reported stand-alone replenishment frequencies (if they were to order independently). We first provide an impossibility result showing that there is no direct mechanism that simultaneously achieves efficiency, incentive compatibility, individual rationality and budget-balance. We then propose a general, two-parameter mechanism in which one parameter is used to determine the joint replenishment frequency, another is used to allocate the order costs based on firms ' reports. We show that efficiency cannot be achieved in this two-parameter mechanism unless the parameter governing the cost allocation is zero. When the two parameters are same (a single parameter mechanism), we find the equilibrium share levels and corresponding total cost. We finally investigate the effect of this parameter on equilibrium behavior. We show that properly adjusting this parameter leads to mechanisms that are better than other mechanisms suggested earlier in the literature in terms of fairness and efficiency. (C) 2016 Elsevier B.V. All rights reserved.