在线咨询
中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2016, Vol. 33 ›› Issue (1): 17-24.doi: 10.3969/j.issn.1005-3085.2016.01.002

• • 上一篇    下一篇

维修服务契约的最优设计和分析

彭  懿1,   吴锦标2   

  1. 1- 长沙师范学院初等教育系，长沙 410100
    2- 中南大学数学与统计学院，长沙 410083
  • 收稿日期:2015-01-12 接受日期:2015-09-30 出版日期:2016-02-15 发布日期:2016-04-15
  • 基金资助:
    国家自然科学基金 (11201489)；湖南省教育厅科研项目 (15C0100).

Optimal Design and Analysis of Maintenance Service Contract

PENG Yi1,  WU Jin-biao2   

  1. 1- Junior Education Department, Changsha Normal University, Changsha 410100
    2- School of Mathematics and Statistics, Central South University, Changsha 410083
  • Received:2015-01-12 Accepted:2015-09-30 Online:2016-02-15 Published:2016-04-15
  • Supported by:
    The National Natural Science Foundation of China (11201489); the Scientific Research Project of Hunan Province Education Office (15C0100).

PDF (PC)

6

摘要： 本文研究了一个带服务契约的机器维修模型．为了合理优化设计机器维修服务契约，本文利用多服务器排队系统理论对具有多台机器和多个修理工的机器维修模型进行分析，得到了每台机器产生的纯收益和代理商的纯收益期望值；利用非合作博弈论对维修服务契约进行分析，得到了最优保修期、保修费和修理工数目．我们发现最优保修期和修理工数目均与保修价格函数无关．而且，对于固定寿命的机器，机器总数几乎不影响最优保修期的设定．

关键词: 排队论, 服务契约, 博弈论, 可靠性理论

Abstract:

In this paper, we study a maintenance model with a given type of service contract. In order to study the optimal designing of machine maintenance contracts, this paper develops a multi-server queueing model to obtain the expected net incomes by each machine and the agent. Using a non-cooperative game formulation, we achieve the agent's optimal pricing strategy, the length of warranty and the number of repairmen. We find that the optimal length of warranty and the number of repairmen are independent of the warranty price functions. Furthermore, for fixed lifetime of the unit, the number of customers hardly affects the optimal length of warranty.

Key words: queueing theory, service contract, game theory, reliability theory

中图分类号: