期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 236, 期 2, 页码 561-572出版社
ELSEVIER
DOI: 10.1016/j.ejor.2014.01.065
关键词
Queueing; Reliability; Negative customers; Orbital search
资金
- National Natural Science Foundation of China [11171019, 11171179, 713990334, 11301306]
- Program for New Century Excellent Talents in University [NCET-11-0568]
- China Postdoctoral Science Foundation [2013M540041]
- Program for Science Research of Fuyang Normal College [2013FSKJ01ZD]
This paper treats an M/G/1 retrial queue with non-persistent customers, where the server is subject to failure due to the negative arrivals. After a completion of a service or a repair, the server searches for the customers in the orbit or remains idle. By using embedded Markov chain technique and the supplementary variable method, we present the necessary and sufficient condition for the system to be stable and the joint queue length distribution in steady state. The waiting process is also given. Some main reliability measures, such as the availability, failure frequency, and the reliability function of the server, are obtained. Finally, some numerical examples and cost optimization analysis are presented. (c) 2014 Elsevier B.V. All rights reserved.
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