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Zbl 1166.90336
Kumar, Krishna B.; Madheswari, S.Pavai
An $M/M/2$ queueing system with heterogeneous servers and multiple vacations.
(English)
[J] Math. Comput. Modelling 41, No. 13, 1415-1429 (2005). ISSN 0895-7177

Summary: A Markovian queue with two heterogeneous servers and multiple vacations has been studied. For this system, the stationary queue length distribution and mean system size have been obtained by using matrix geometric method. The busy period analysis of the system and mean waiting time distribution are discussed. Extensive numerical illustrations are provided.
MSC 2000:
*90B25 Reliability, etc.
60K25 Queueing theory

Keywords: Heterogeneous servers; Multiple vacations; System size; Busy period; Mean waiting time

Cited in: Zbl 1187.60079

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Scientific prize winners of the ICM 2010
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