不确定条件下基于三元区间规划的生产计划模型

Production Planning Model Under Uncertainty Based on Interval Numbers of Three Elements Linear Programming

研究了不确定条件下的生产计划问题,当企业面临多种产品消耗的单位产能、单位生产利润以及企业的总产能和交货期等均为不确定变量时,如何确定出的各种产品的合理的投产量,以使得企业在规定的交货期内获得最大的收益.引入了三元区间数来描述生产计划模型中的各种变量,建立了相应的三元区间线性规划模型;然后利用三元区间线性规划的有关知识简化了该模型,求出了其弱最优解.模型与传统的生产计划模型相比更贴近生产的实际过程,能为生产决策者提供更好的技术支持.

This paper studies the production planning problem under uncertainty, When an enterprise faces with unit consumption capacity and production profit of a variety of products ,total capacity and the delivery time and so on are all uncertain variables , such as how to determine the reasonable amount for production of various products to make the enterprise to obtain the maximum benefit within the specified delivery time. Three elements interval number is introduced to to describe the the production plan of various variables in the model, corresponding three elements interval linear programming model is established; Then based on the knowledge of the three elements interval linear programming to simplify the model, and find out the weak optimM solution. The model is closer to the actual process of production compared with the traditional production planning model, which can provide better technical support for production decision makers.