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Simple Product-Form Bounds for Queueing Networks with Finite Clusters

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  • Nico van Dijk
  • Erik van der Sluis

Abstract

Queueing networks are studied with finite capacities for clusters of stations, rather than for individual stations. First, an instructive tandem cluster example is studied to show that a product-form modification method for networks with finite stations can be extended to networks with finite clusters. Next, general results are established by which finite clusters can be regarded as finite aggregate stations. By these results product-form modifications for finite stations can be extended to product-form modifications for finite clusters by just considering a network at cluster level. This may lead to simple performance bounds. A number of illustrative examples with numerical support are provided. Copyright Kluwer Academic Publishers 2002

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  • Nico van Dijk & Erik van der Sluis, 2002. "Simple Product-Form Bounds for Queueing Networks with Finite Clusters," Annals of Operations Research, Springer, vol. 113(1), pages 175-195, July.
    • Handle: RePEc:spr:annopr:v:113:y:2002:i:1:p:175-195:10.1023/a:1020922315539
    DOI: 10.1023/A:1020922315539
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    Cited by:

    1. van Dijk, N.M. & van der Sluis, E. & Bulder, L.N. & Cui, Y., 2024. "Flexible serial capacity allocation with intensive care application," International Journal of Production Economics, Elsevier, vol. 272(C).

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