基于排队的库存服务系统最优控制策略  

Optimal Control Polices for an Inventory Service System Based on the Queueing Theory

作　　者：陈弘[1] 刘名武[2] 周宗放[1] 唐应辉[3] 

机构地区：[1]电子科技大学经济与管理学院,四川成都610054 [2]重庆交通大学管理学院.重庆400074 [3]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《运筹与管理》2013年第5期104-110,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71171138,70901015);中国博士后科学基金资助项目(2013M542269);重庆市自然科学基金资助项目(cstc2011jjA30014);教育部人文社科基金资助项目(09YJC630248)

摘　　要：研究一个连续盘点的(s,Q)补货的库存服务系统。基于排队理论建立库存水平状态平衡方程,并推导出库存水平稳态概率分布以及作为库存控制的系统稳态性能指标。以库存成本最小化为目标,构建服务水平约束的库存控制模型。针对模型的非线性约束与整数型变量的特征,采用一种改进的遗传算法(IGA)用于决策变量的寻优。数值实验表明,当目标服务水平大于库存系统内生的服务水平时,实施服务水平约束能够降低库存控制成本。This paper considers an inventory service system with continuous-review（s, Q）replacement policy. The steady-state balance equations are set up based on queuing theory. And the probability distribution for inventory levels and the steady-state performance measures which are used to for the inventory control are derived. For minimizing the inventory cost function, an inventory control model with constrained service level is built. In view of the optimal model which is no-linear and constrained with integer type variables, an improved genetic algorithm（IGA） is used for searching for the optimums. The numerical results show that the inventory cost can be cut down by exerting service level constraint when target service level is greater than endogenetic service level of the inventory system.

关 键 词：控制策略 库存服务系统 服务水平 (s Q)策略 

分 类 号：F253.4[经济管理—国民经济]