模糊环境下应急物资预置的优化方法

本文基于模糊可能性理论,研究了2-型模糊应急物资预置问题.考虑到运输费用、出救点的供应量、受灾点的需求量和道路容量的不确定性,用2-型模糊变量来刻画,建立了2-型模糊环境下的期望值应急物资预置模型.根据风险值简约方法,推导了2-型三角模糊变量的上下风险值简约模糊变量的期望值公式.当模型中的2-型模糊变量相互独立且服从三角分布时,应用所得期望值公式转化原模型为等价的确定模型.等价模型是一个混合整数参数规划,因此可采用Lingo软件求解.最后,通过数值例子演示所提建模思想.实验结果证明了所建模型的有效性.

Optimization for pre-positioning emergency supplies problem under fuzzy environment

This paper studies the type-2 fuzzy pre-positioning problem for emergency supplies on the basis of fuzzy possibility theory. Because of the uncertainty about the transportation costs, the suppliers' supply amounts, the affected areas' demands and the capacities of the roads, we characterize these parameters by type-2 fuzzy variables and build a pre-positioning model of emergency supplies with expected value criterion under type-2 fuzzy environment. According to the value-at-risk (VaR) reduction method, we deduce the expectation value formula for the reduced fuzzy variables of type-2 triangular fuzzy variable. When the type-2 fuzzy variables are independent and triangular distributions, we can convert the original model into its equivalent model, which is a mixed-integer parametric programming model and can be solved by Lingo. Finally, we present an example to illustrate the modeling idea presented in our paper. The computational results verify the effectiveness of the proposed model.