Stability in supply chain networks: An approach by discrete convex analysis

Yoshiko T. Ikebe, Akihisa Tamura

研究成果: Article査読

2 被引用数 (Scopus)


Ostrovsky generalized the stable marriage model of Gale and Shapley to a model on an acyclic directed graph, and showed the existence of a chain stable allocation under the conditions called same-side substitutability and cross-side complementarity. In this paper, we extend Ostrovsky's model and the concepts of same-side substitutability and cross-side complementarity by using value functions which are defined on integral vectors and allow indifference. We give a characterization of chain stability under the extended versions of same-side substitutability and cross-side complementarity, and develop an algorithm which always finds a chain stable allocation. We also verify that twisted M♮-concave functions, which are variants of M♮-concave functions central to discrete convex analysis, satisfy these extended conditions. For twisted M♮-concave value functions of the agents, we analyze the time-complexity of our algorithm.

ジャーナルJournal of the Operations Research Society of Japan
出版ステータスPublished - 2015 7

ASJC Scopus subject areas

  • 決定科学(全般)
  • 経営科学およびオペレーションズ リサーチ


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