Refined normal approximations for a simple multiclass closed queueing network and its applications to admission control

Yaakov Kogan

doi:10.1117/12.360383

18 August 1999 Refined normal approximations for a simple multiclass closed queueing network and its applications to admission control

Yaakov Kogan

Author Affiliations +

Proceedings Volume 3841, Performance and Control of Network Systems III; (1999) https://doi.org/10.1117/12.360383
Event: Photonics East '99, 1999, Boston, MA, United States

Abstract

A particular closed queuing network consisting of two processor sharing servers and two types of customers with fixed routes, which are generated by two finite sources, is studied. A complete bottleneck classification is provided as the number of customers and service rates at processor sharing servers increase. Asymptotic approximations for the marginal distributions at the two processor-sharing nodes are derived, when both nodes are bottlenecks. These approximations imply the normal approximation whose mean and variance are explicitly expressed through network parameters. The results are applied to the problem of admission control in packet-switching communication networks.

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Yaakov Kogan "Refined normal approximations for a simple multiclass closed queueing network and its applications to admission control", Proc. SPIE 3841, Performance and Control of Network Systems III, (18 August 1999); https://doi.org/10.1117/12.360383

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