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Algorithmic Methods For Single Server Systems With Repeated Attempts

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  • A. G. de Kok

Abstract

In many practical situations customers applying for service and finding the server busy will not join a queue, but make a new attempt to enter service after some time. In this paper we study single server systems with repeated attempts both for infinite‐source input and finite‐source input where the service times are general and the reattempt times are exponential. Numerically stable recursion schemes are derived by which the time‐average and customer‐average steady‐state probabilities can be effectively computed.

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  • A. G. de Kok, 1984. "Algorithmic Methods For Single Server Systems With Repeated Attempts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 38(1), pages 23-32, March.
    • Handle: RePEc:bla:stanee:v:38:y:1984:i:1:p:23-32
    DOI: 10.1111/j.1467-9574.1984.tb01094.x
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    Cited by:

    1. Lyes Ikhlef & Ouiza Lekadir & Djamil Aïssani, 2016. "MRSPN analysis of Semi-Markovian finite source retrial queues," Annals of Operations Research, Springer, vol. 247(1), pages 141-167, December.
    2. Li, Hui & Yang, Tao, 1995. "A single-server retrial queue with server vacations and a finite number of input sources," European Journal of Operational Research, Elsevier, vol. 85(1), pages 149-160, August.
    3. Falin, G. I. & Artalejo, J. R., 1998. "A finite source retrial queue," European Journal of Operational Research, Elsevier, vol. 108(2), pages 409-424, July.
    4. Jesus R. Artalejo & A. Gómez‐Corral, 2007. "Waiting time analysis of the M/G/1 queue with finite retrial group," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 524-529, August.

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