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Shakouri G, Niksefat P, Nasseri S H. A Goal Multi-Parameter Approach to Determine the Efficient Solution to the Multi-Objective Transportation Problem with Flexible Conditions. jor 2025; 22 (4)
URL: http://jamlu.liau.ac.ir/article-1-2314-en.html
URL: http://jamlu.liau.ac.ir/article-1-2314-en.html
Research Unit of Rahman Institute of Higher Education, Ramsar, Iran , gshakoori2@gmail.com
Abstract: (34 Views)
Goal programming, as one of the powerful methods in the field of multi-objective optimization, is fundamentally based on the use of distance functions. The decision-maker’s objective in this approach is to identify a solution that minimizes the deviation between the achieved level of objectives and the predefined aspiration levels. In real-world decision-making, multiple objectives must be satisfied simultaneously, which may often be conflicting or unpredictable. For each objective function, a specific and precise aspiration level is defined; however, achieving such levels completely is generally infeasible in practice. To better reflect real-world conditions, a multi-objective solid transportation model is considered, incorporating flexible fuzzy constraints related to supply, demand, and vehicle capacity simultaneously. To solve such problems, constraints are first formulated using membership functions, and in order to ensure a well-defined solution space, the problem is transformed into a multi-parametric model. Subsequently, the deterministic version of the model is solved, yielding efficient (ideal) solutions for each objective. In the next stage, by applying parametric goal programming, the Pareto-optimal solution for the multi-parametric model is obtained. This methodology pursues two main objectives: Preserving and improving the performance of the objective functions. Enhancing the level of satisfaction or utility of the decision-maker.
Keywords: Fuzzy Linear Programming, Goal Programming, Efficient Optimal Solution, Multi-Parameter Approach, Multi-Objective Transportation Problem
Type of Study: Applicable |
Subject:
Special
Received: 2025/06/17 | Accepted: 2025/12/12 | Published: 2025/12/22
Received: 2025/06/17 | Accepted: 2025/12/12 | Published: 2025/12/22
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