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Equilibrium results for the M/G/k group-arrival loss system

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  • Spiros Dimou
  • Demetrios Fakinos

Abstract

In this paper we consider a specific M/G/k group-arrival loss system, under statistical equilibrium and two cases of acceptance policy. In the first case the system works under the partial acceptance policy. Explicit results are obtained for the corresponding stationary distribution, which extend previous relevant results. In the second case, where the system works under the all-or-nothing acceptance policy, a sufficient condition is given for the stationary distribution to have a closed-product form. In both cases customers depart individually, while the joint service time distribution of the accepted members of a group may depend both on its initial and the accepted size plus an additional condition. Copyright Sociedad de Estadística e Investigación Operativa 2013

Suggested Citation

  • Spiros Dimou & Demetrios Fakinos, 2013. "Equilibrium results for the M/G/k group-arrival loss system," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(1), pages 163-181, April.
    • Handle: RePEc:spr:topjnl:v:21:y:2013:i:1:p:163-181
    DOI: 10.1007/s11750-010-0168-2
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    References listed on IDEAS

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    1. Economou, A. & Fakinos, D., 1999. "Product form stationary distributions for the MGk group-arrival group-departure loss system under a general acceptance policy," European Journal of Operational Research, Elsevier, vol. 112(1), pages 196-206, January.
    2. Fakinos, D., 1990. "On the M/G/k group-arrival loss system," European Journal of Operational Research, Elsevier, vol. 44(1), pages 75-83, January.
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