两类顾客生产服务系统建模与性能分析  

Modeling and Analysis of a Basic Production-Service System with 2-Class Customers

作　　者：王童毅[1] 江志斌[2,3] 王康周[1,3] 

机构地区：[1]上海交通大学中美物流研究院,上海200030 [2]上海交通大学机械与动力工程学院,上海200030 [3]长三角服务科学与企业创新研究中心,上海200240

出　　处：《工业工程》2013年第5期62-67,共6页Industrial Engineering Journal

基　　金：国家自然科学基金资助项目(70932004);博士点基金资助项目(20090073110035);上海市教委2009年度科研创新资助项目(09ZZ19)

摘　　要：建立了一个基本生产服务系统,考虑两种不同优先级顾客的不耐烦行为,同时考虑服务能力可调节。建立了系统的Markov模型,给出了系统的稳态分布,获得了系统的重要性能指标与利润函数,同时设计搜索算法获得了系统的最优库存水平与最优服务能力控制阈值,并得出基本库存水平、额外服务能力、顾客到达速率对系统净利润的影响关系。In this paper, a basic production-service system with 2-class customers is discussed. A Markov model is constructed to describe the system. Based on the model, the steady-state distribution is calculat- ed. A searching algorithm is proposed to find the optimal basic stock level and service capacity threshold. By numerical analysis, it shows that, by improving basic stock level of the inventory, the queue length of high priority customer is dramatically decreased. Also, in order to get higher profit, additional service ca- pacity should be open as early as possible, though the additional service cost is relatively high. To get more net profit, when customer arrival rate is greater than the production and service rate, the system should limit the arrival rate of high priority customer, or otherwise limit the arrival rate of low priority cus- tomer.

关 键 词：生产服务系统 马尔科夫链 不耐烦行为 优先权 

分 类 号：F253.4[经济管理—国民经济]