含区间的生产与运输模型及算法研究

不确定规划问题在日常生产、管理科学及基础工程技术中有广泛的应用。本文研究了含区间的生产和运输的问题,其中运输费用、生产能力、需求量均为区间数,通过引入"满意度"参量并用理论知识将含区间规划问题转化成确定的规划问题,在此基础上,进一步研究了随机成本和区间容量下的生产和运输问题,在假设运输费用为随机变量且服从正态分布前提下,利用求期望值的方法将成本转化为确定数值,并将区间容量约束化为确定约束,建立模型并求解。

On Production and Transportation Model with Interval and Algorithm Research

Uncertain programming problem has wide application value in the daily production , management science and engi-neering technology.This paper studies the production and transportation problem with interval, in which transportation costs, pro-duction capacity, and demand are interval numbers.With the introduction of satisfaction, parameter and theoretical knowledge, the programming problem with interval is converted into certain programming problem .On this basis, the paper studies the produc-tion and transportation problems with stochastic cost and interval capacity .On the assumption that transportation costs obey normal distribution, as random variables, by the method of using expectations for converting the costs to determine the number, changing the interval capacity constraints into certain constraints, the paper builds a model, in which the method of solving is given.