Fuzzy programming and profit and cost allocation for a production and transportation problem
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...
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| Published in | European Journal of Operational Research Vol. 131; no. 1; pp. 1 - 15 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
16.05.2001
Elsevier BV Elsevier Elsevier Sequoia S.A |
| Series | European Journal of Operational Research |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0377-2217 1872-6860 |
| DOI | 10.1016/S0377-2217(00)00104-1 |
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| Abstract | 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 such that the cost of production and transportation is minimized subject to capacities of factories and demands of regions. Second, to realize stable production and satisfactory supply of the products in fuzzy environments, 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. Using actual data, we show usefulness of the fuzzy programming and a rational allocation scheme of the profit and cost. |
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| AbstractList | This paper deals with a real problem on production and transportation in a housing material manufacturer, and considers 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, mixed zero-one programming problems are formulated such that the cost of production and transportation is minimized subject to capacities of factories and demands of regions. Second, to realize stable production and satisfactory supply of the products in fuzzy environments, fuzzy programming for the production and transportation problem is incorporated. Finally, under the optimal planning of production and transportation, a profit and cost allocation is shown by applying a solution concept from game theory. Using actual data, the paper shows usefulness of the fuzzy programming and a rational allocation scheme of the profit and cost. 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 such that the cost of production and transportation is minimized subject to capacities of factories and demands of regions. Second, to realize stable production and satisfactory supply of the products in fuzzy environments, 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. Using actual data, we show usefulness of the fuzzy programming and a rational allocation scheme of the profit and cost. |
| Author | Uemura, Yoshio Sakawa, Masatoshi Nishizaki, Ichiro |
| Author_xml | – sequence: 1 givenname: Masatoshi surname: Sakawa fullname: Sakawa, Masatoshi email: sakawa@msl.sys.hiroshima-u.ac.jp organization: Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi-Hiroshima 739-8527, Japan – sequence: 2 givenname: Ichiro surname: Nishizaki fullname: Nishizaki, Ichiro organization: Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi-Hiroshima 739-8527, Japan – sequence: 3 givenname: Yoshio surname: Uemura fullname: Uemura, Yoshio organization: Products Projects Development Department, Juken Sangyou Co. Ltd., 1-1 Mokuzaikou-minami, Hatsukaichi, Hiroshima 738-8502, Japan |
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| Keywords | Production and transportation problem Profit and cost allocation Fuzzy programming Optimization |
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| SubjectTerms | Cost allocation methods Fuzzy logic Fuzzy programming Game theory Mathematical models Optimization Production and transportation problem Production management Profit and cost allocation Studies Transportation |
| Title | Fuzzy programming and profit and cost allocation for a production and transportation problem |
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