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A hybrid two-phase approach for the solid transportation problem under certainty conditions based on goal programming and multi-parametric models
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G. Shakouri   , P. Niksefat , S. H. Nasseri |
| Research Unit of Rahman Institute of Higher Education, Ramsar, Iran & Optimization and Logistics Research Unit, University of Mazandaran, Babolsar, Iran. |
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Abstract: (11 Views) |
The solid transportation model is one of the most useful models in linear programming literature. Hence, this study focuses on a development of solid transportation programming with fuzzy cost coefficients and fuzzy-flexible supply and demand constraints and transportation capacity, which aims to minimize costs. Considering the available resources (capacity of supply centers), the capacity of the vehicle is generally considered as the minimum capacity, and the demand is generally considered as the maximum capacity. To adapt to real conditions, a flexible fuzzy hybrid model is studied for the solid transportation model with supply and demand constraints and flexible fuzzy vehicles. Generally, for such models, supply and demand restrictions and vehicles must first be converted into a real form, and then the associated problem is solved in a deterministic way by using the existing real problem techniques. Furthermore, a combined Goal programming and parametric approach is proposed to obtain the best satisfactory solution. Finally, an example is examined to analyze this approach.
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| Keywords: Fuzzy Linear Programming, Goal Programming, Membership Function, Multi-parametric Fuzzy Flexible Transportation Problem, Solid Transportation Problem. |
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Full-Text [PDF 528 kb]
(6 Downloads)
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Type of Study: Applicable |
Subject:
General
Received: 2025/01/7 | Accepted: 2025/03/12
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