生产和运输成本问题的机会约束规划方法  

Chance Constrained Programming Method for Production and Transportation Schedule Problems

作　　者：阳彩霞[1,2] 万中[1] 江卫[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410083 [2]武汉生物工程学院计算机与信息工程系,湖北武汉430415

出　　处：《数学的实践与认识》2011年第4期90-98,共9页Mathematics in Practice and Theory

基　　金：教育部新世纪优秀人才支持计划(NCET-07-0864);国家自然科学基金(60804037;71071162)

摘　　要：当供应商的生产能力和销售商的需求量是随机参数时,建立了一类产品生产和运输成本问题的数学模型,它是一种随机优化模型.利用机会约束规划方法研究了在给定置信水平和其它相关约束条件时,此类随机优化问题的确定型等价式.给出了每个供应商给每个销售商的送货量,且达到了总运输成本最低.实际案例研究表明所建立的模型和求解方法有效,且分析了不同置信水平下最优值的变化,提供了选择最佳置信水平的方法.When the production capacity of the suplier and the amount of demand are stochastic parameters,a new model is constructed for the problem of the production and transportation.It turns out to be a stochastic optimization problem.By chance constrained programming,a deterministic equivalent formulation is obtained for this stochastic optimization model with a given confidence level and some other joint constraints.The amount provided by each suplier is given so that the total cost of transportation is minimized.Real case studies show that the established model and the solution method are promising.The change of the optimial values is studied with different confidence levels,and the method to choose the best confidence level is presented.

关 键 词：生产与运输 随机优化 机会约束规划 置信水平 

分 类 号：O221[理学—运筹学与控制论]