A fuzzy goal programming approach for facility location problem (case study: Service providers)

Hassan Hadipour, Mohammad Khoshnoud, R. Azizmohammadi, A. Mahmoudabadi
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Abstract

Location problems are usually known as multi-dimensional problems in particular when sustainable development planning is required, so multi-criteria approaches are appropriate techniques for solving location problems. Since small percentage of studies carried out in this area, a three-stage multi-objective goal programming model has been presented based on fuzzy definition techniques for formulation facility location problem. In the first step, several criteria have been considered for selecting service providers. Then using linguistic variables which are convertible to triangular fuzzy numbers, the importance weights of criteria and the evaluation of alternatives are determined through a survey conducted based on the viewpoints of decision makers. Finally, the computed compromise indexes are used as objective functions coefficients. In the second step, a multi-objective mixed-integer linear programming model has been developed consists of three main objectives including minimizing transportation and fixed costs, minimizing values from assigning service and opening service facilities and eventually maximizing the utility of selected service providers. The above proposed model has been used in a case study and results have been discussed. Results show that the above process is capable for selecting service providers in a multi-dimensional situation while a fuzzy goal programming technique is used for solving the problem of facility location.
设施选址问题的模糊目标规划方法(以服务提供商为例)
选址问题通常被称为多维问题,特别是当需要进行可持续发展规划时,因此多准则方法是解决选址问题的合适技术。由于该领域的研究较少,本文提出了一种基于模糊定义技术的三阶段多目标规划模型来求解制剂设施选址问题。在第一步中,考虑了选择服务提供者的几个标准。然后利用可转换为三角模糊数的语言变量,根据决策者的观点进行调查,确定准则的重要性权重和备选方案的评价。最后,将计算得到的折衷指标作为目标函数系数。第二步,建立了一个多目标混合整数线性规划模型,该模型包括三个主要目标:运输和固定成本最小化、分配服务和开放服务设施的价值最小化以及最终选定服务提供商的效用最大化。上述模型已应用于一个案例研究,并对结果进行了讨论。结果表明,该过程能够在多维情况下选择服务提供商,并将模糊目标规划技术用于解决设施选址问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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