Fuzzy Programming and Profit and Cost Allocation for a Production and Transportaion Problem in a Housing Material Manufacturer : A Case Study

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  • SAKAWA Masatoshi
    Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University
  • Nishizaki Ichiro
    Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University
  • UEMURA Yoshio
    Products Projects Development Department, Juken Sangyou Co., Ltd.

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  • 建材メーカにおける生産・輸送問題に対するファジィ計画と利益およびコスト分配 : 事例研究
  • ケンザイ メーカ ニ オケル セイサン ユソウ モンダイ ニ タイスル ファジィ ケイカク ト リエキ オヨビ コスト ブンパイ ジレイ ケンキュウ

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Abstract

<p>In this paper, we deal with a real problem on production and transportation in a housing material manufacturer, and consider a production and transportation planning under the assumption that the manufacturer makes multiple products at factories in multiple regions and the products are in demand in each of the regions. First, we formulate mixed zero-one programming problems so as to minimize the cost of production and transportation satisfying production capacities and demands. Second, to realize satble production and satisfactory supply of the products, fuzzy programming for the production and transportation problem is incorporated. Finally, under the optimal planning of production and transportation, we show a profit and cost allocation by applying a solution concept from game theory. Practical applications for all the models are given.</p>

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