Fuzzy random facility location problems with recourse
Fuzzy random facility location problems with recourse
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DOI：
10.1109/icsmc.2009.5346731
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发表时间：
2009-10
期刊：
影响因子：
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通讯作者：
Shuming Wang;J. Watada;W. Pedrycz
中科院分区：
文献类型：
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作者：
Shuming Wang;J. Watada;W. Pedrycz
本文研究了一类混合不确定环境下的设施选址问题。在需求和成本均为模糊随机变量的条件下，建立了一个带资源的两阶段模糊随机设施选址模型。由于模型中的模糊随机参数一般可视为具有无限实现的连续模糊随机变量，因此补偿的计算需要求解无限个第二阶段规划问题。由于这一事实，追索函数不能解析计算，这意味着该模型不能受益于经典数学规划方法的使用。为了解决这种性质的定位问题，我们首先开发技术的模糊随机模拟。随后，将模糊随机模拟、单纯形算法和二进制粒子群优化算法（BPSO）相结合，提出了一种混合算法来求解两阶段模糊随机设施选址模型。最后给出了一个数值算例。
The objective of this paper is to study facility location problems under a hybrid uncertain environment involving randomness and fuzziness. A two-stage fuzzy random facility location model with recourse is developed in which the demands and the costs are assumed to be fuzzy random variables. As in general the fuzzy random parameters in the model can be regarded as continuous fuzzy random variables with infinite realizations, the computation of the recourse requires solving infinite second-stage programming problems. Owing to this fact, the recourse function cannot be calculated analytically, which implies that the model cannot benefit from the use of methods of classical mathematical programming. In order to solve the location problems of this nature, we first develop techniques of fuzzy random simulation. In the sequel, by combining the fuzzy random simulation, simplex algorithm and binary particle swarm optimization (BPSO), a hybrid algorithm is proposed to solve the two-stage fuzzy random facility location model. Finally, an illustrative numerical example is provided.