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Stability of the multiserver queue with addressed retrials

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  • G. Falin

Abstract

In the recent paper (Mushko et al. in Ann. Oper. Res. 141:283—301, 2006 ) Mushko, Jacob, et al. considered an M/M/c type queueing system with retrials. Given that returning customers have access to any server they obtained a sufficient condition for the stability of the system. We suggest an alternative approach to the problem and get the necessary and sufficient condition for the stability in more general situation, when some servers are reserved for processing of primary requests and do not serve returning customers. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • G. Falin, 2012. "Stability of the multiserver queue with addressed retrials," Annals of Operations Research, Springer, vol. 196(1), pages 241-246, July.
    • Handle: RePEc:spr:annopr:v:196:y:2012:i:1:p:241-246:10.1007/s10479-011-1053-6
    DOI: 10.1007/s10479-011-1053-6
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    1. V. Mushko & M. Jacob & K. Ramakrishnan & A. Krishnamoorthy & A. Dudin, 2006. "Multiserver queue with addressed retrials," Annals of Operations Research, Springer, vol. 141(1), pages 283-301, January.
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