Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2016, Vol. 33 ›› Issue (1): 17-24.doi: 10.3969/j.issn.1005-3085.2016.01.002

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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).

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

CLC Number: