Fuzzy Mathematical Programming Approach for Transportation Problem with Flexible Constraints

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Shakouri G.; Nasseri S. H.; Paydar M. M.

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Journal Paper

Paper Information

Journal: Journal of Operational Research in its Applications Year:2022 | Volume:19 | Issue:3 ( 74) Page(s): 29-44

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Information Journal Paper

Title

Fuzzy Mathematical Programming Approach for Transportation Problem with Flexible Constraints

Author(s)

Shakouri G. | Nasseri S. H. | Paydar M. M. | Issue Writer Certificate

Keywords

Flexible Linear Problem

Fuzzy Linear Programming

Membership Function

Fuzzy Transportation

Abstract

Transportation costs today are considered as one of the most important costs affecting the cost of goods and the final price of consumption for the customer, especially in supply chain management. Therefore, it is necessary to focus on transportation costs due to lower prices, and consequently increase customer satisfaction and increase the position of the industry among competitors. Given that the available resources (capacity of supply centers) are generally considered as the minimum capacity available in the model, generally to solve such models, first the fuzzy supply limit is definitively converted and then using methods. The existing solution is a crisp problem that unfortunately does not fit well with the nature of the uncertainty in the decision. Therefore, in this paper, in order to adapt to the real conditions, the supply constraint in the flexible Fuzzy Transportation model is studied. For this purpose, a fuzzy mathematical programming approach to the transportation problem with flexible fuzzy constraints is proposed to obtain the most satisfactory solution. Finally, a numerical example for the proposed model and the proposed solution method is considered.

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APA: Copy

Shakouri, G., Nasseri, S. H., & Paydar, M. M.. (2022). Fuzzy Mathematical Programming Approach for Transportation Problem with Flexible Constraints. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 19(3 ( 74) ), 29-44. SID. https://sid.ir/paper/1142771/en

Vancouver: Copy

Shakouri G., Nasseri S. H., Paydar M. M.. Fuzzy Mathematical Programming Approach for Transportation Problem with Flexible Constraints. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2022;19(3 ( 74) ):29-44. Available from: https://sid.ir/paper/1142771/en

IEEE: Copy

G. Shakouri, S. H. Nasseri, and M. M. Paydar, “Fuzzy Mathematical Programming Approach for Transportation Problem with Flexible Constraints,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 19, no. 3 ( 74) , pp. 29–44, 2022, [Online]. Available: https://sid.ir/paper/1142771/en

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