柔性生产下马氏需求EPQ模型的最优(P,Q,T)策略  

Optimal Policy of(P,Q,T) for Markov Demand EPQ Model under Flexible Manufacture

作　　者：陈杰[1,2] 陈崇萍[1] 陈志祥[1] 邢灵博 

机构地区：[1]中山大学管理学院,广东广州510275 [2]海南热带海洋学院数学系,海南三亚572022

出　　处：《数学的实践与认识》2016年第2期84-93,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71372154);海南省自然科学基金(20151008);教育部人文社会科学研究青年基金项目(15YJC630013)

摘　　要：随机需求环境下研究柔性制造系统的经济生产批量(Economic Production Quantity,EPQ)模型的最优生产策略问题.在假设需求满足马尔可夫性且为需求状态依赖的条件下,根据顾客的需求程度对市场需求进行状态划分,建立了马氏需求模型,对系统未来的需求提出了科学的预测方法.在该模型的基础上,结合柔性制造系统的理论,构建了柔性生产下马氏需求EPQ模型.利用函数的凸性研究了新的EPQ模型的最优解的存在性,进而提出模型的最优(P,Q,T)策略.模型的数值算例表明,利用最优(P,Q,T)策略可以提高制造系统的生产率、缩短产品生产周期及实现小批量的生产模式.The paper studies the optimal manufacturing policy of flexible manufacturing sys- tem＇with random demand. In the assumption of the Markov demand and the state-dependent, we divide the market＇s demand into demand state according to the extent of customer＇s de- mand, and then establish a Markov demand model to scientifically predict the future demand of the system. Based on the model, we construct a EPQ model with Markov demand in flexible manufacture combined with the theory of flexible manufacture＇s system. The paper proves the existence of the new EPQ model＇s optimal solution by the convexity of function. In the last ,the paper proposes the optimal policy of （P,Q,T）.The numerical example of the model shows that we can improve the productivity of the manufacturing system, shorten the cycle of production and implement production model of small quantities.

关 键 词：柔性生产 马氏需求模型 EPQ模型 最优(P Q T)策略 

分 类 号：F273[经济管理—企业管理]