期刊
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
卷 26, 期 3, 页码 353-368出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10255-010-0001-6
关键词
Bulk-arrival queue; first essential service; second optional service; reliability
资金
- National Natural Science Foundation of China [10871020]
A bulk-arrival single server queueing system with second multi-optional service and unreliable server is studied in this paper. Customers arrive in batches according to a homogeneous Poisson process, all customers demand the first essential service, whereas only some of them demand the second multi-optional service. The first service time and the second service all have general distribution and they are independent. We assume that the server has a service-phase dependent, exponentially distributed life time as well as a servicephase dependent, generally distributed repair time. Using a supplementary variable method, we obtain the transient and the steady-state solutions for both queueing and reliability measures of interest.
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