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山东大学学报(工学版)

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不耐烦顾客生产服务系统建模与优化

王晓燕1,王康周2,祁忠斌1,江志斌3,李娜3   

  1. 1. 兰州工业学院基础部, 甘肃 兰州 730050; 2. 上海交通大学中美物流研究院, 上海 200030;
    3. 上海交通大学工业工程与物流工程系, 上海 200240
  • 收稿日期:2013-11-05 出版日期:2014-04-20 发布日期:2013-11-05
  • 作者简介:王晓燕(1980- ), 女, 甘肃正宁人, 讲师, 主要研究方向为生产与服务运作管理. E-mail:wangxy110505@126.com
  • 基金资助:
    国家自然科学基金重点项目(70932004); 国家自然科学基金青年项目(71002037, 61104173); 教育部高校博士点基金项目(20090073110035, 20100073120080); 兰州工业学院项目(10K-015).

Modelling and optimization of a production service system with impatient customers

WANG Xiaoyan1, WANG Kangzhou2, QI Zhongbin1, JIANG Zhibin3, LI Na3   

  1. 1. Department of Basic Courses, Lanzhou Institute of Technology, Lanzhou 730050, China;
     2. Sino-US Global Logistics Institute, Shanghai Jiao Tong University, Shanghai 200030, China;
    3. Department of Industrial Engineering and Logistics Management, Shanghai Jiao Tong University, Shanghai 200240, China
  • Received:2013-11-05 Online:2014-04-20 Published:2013-11-05

摘要: 针对服务型制造模式下,企业为顾客提供产品与服务组合,对顾客差异化管理的特点,研究了具有不耐烦顾客的生产服务系统的建模与优化问题。生产设施生产两种产品,服务中心基于对应的产品为两类顾客提供不同的服务,服务每个顾客订单需要消耗对应产品。在考虑企业对顾客差异化管理导致低优先权顾客具有不耐烦行为的情形下,基于基本库存控制策略,建立了生产两类产品的生产服务系统Markov模型,给出了系统稳态分布的求解方法,以及系统的重要性能指标。以系统净利润最大化为目标,给出了最优控制下顾客不耐烦行为对系统性能的影响,并提出相应的管理建议。

关键词: 马尔科夫链, 服务型制造, 不耐烦性, 生产服务系统, 库存服务系统

Abstract: Product and service mix was provied with customers by a service-oriented manufacturing firm. The modelling and optimization of a production service system with two types of items and customers was considered in this paper. Two types of items were produced by the manufacturing facility in the first stage, then two types of orders were fulfilled at the service centre by the dedicated items in the second stage, one unit of item was depleted by each order. The problem is formulated as a Markov chain, this formulation was used to characterize the structure of the optimal scheduling policies. They show that the optimal service policy is a generalization of the well-known optimal production scheduling policy in classical production inventory system and service scheduling policy in classical service system. The benefits of the optimal service policy were showed by numerical experiments against several other policies.

Key words: service-oriented manufacturing, production service system, inventory service system, Markov chain, impatience

中图分类号: 

  • F224
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