Phase-Type Models of Channel-Holding Times in Cellular Communication Systems

Thomas Kaare Christensen; Bo Friis Nielsen; Villy Bæk Iversen

doi:10.1109/TVT.2004.825803

Phase-Type Models of Channel-Holding Times in Cellular Communication Systems

Thomas Kaare Christensen, Bo Friis Nielsen, Villy Bæk Iversen

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Abstract

In this paper, we derive the distribution of the channel-holding time when both cell-residence and call-holding times are phase-type distributed. Furthermore, the distribution of the number of handovers, the conditional channel-holding time distributions, and the channel-holding time when cell residence times are correlated are derived. All distributions are of phase type, making them very general and flexible. The channel-holding times are of importance in performance evaluation and simulation of cellular mobile communication systems.

Original language	English
Journal	I E E E Transactions on Vehicular Technology
Volume	53
Issue number	3
Pages (from-to)	725-733
ISSN	0018-9545
DOIs	https://doi.org/10.1109/TVT.2004.825803
Publication status	Published - 2004

Bibliographical note

Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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AB - In this paper, we derive the distribution of the channel-holding time when both cell-residence and call-holding times are phase-type distributed. Furthermore, the distribution of the number of handovers, the conditional channel-holding time distributions, and the channel-holding time when cell residence times are correlated are derived. All distributions are of phase type, making them very general and flexible. The channel-holding times are of importance in performance evaluation and simulation of cellular mobile communication systems.

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Phase-Type Models of Channel-Holding Times in Cellular Communication Systems

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