Fixed point models of loss networks

Frank P. Kelly

66 citations0/0 files storedANZIAM Journal

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Wireless Communication Networks Research

Abstract

Abstract In this paper we review a simple class of fixed point models for loss networks. We illustrate how these models can readily deal with heterogeneous call types and with simple dynamic routing strategies, and we outline some of the recent mathematical advances in the study of such models. We describe how fixed point models lead to a natural and tractable definition of the implied cost of carrying a call, and how this concept is related to issues of routing and capacity expansion in loss networks.

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References

1986Blocking probabilities in large circuit-switched networks 1985Blocking When Service Is Required From Several Facilities Simultaneously 1984Insensitivity of blocking probabilities in a circuit-switching network

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1995Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks 1994The Performance of Single Resource Loss Systems in Multiservice Networks

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