Phase-type models of channel-holding times in cellular communication systems

Author

Christensen, Thomas Kaare ; Nielsen, Bo Friis ; Iversen, Villy Bæk

Author_Institution

Tech. Univ. of Denmark, Lyngby, Denmark

Volume

53

Issue

3

fYear

2004

fDate

5/1/2004 12:00:00 AM

Firstpage

725

Lastpage

733

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.

Keywords

cellular radio; matrix algebra; telecommunication channels; cell residence times; cellular communication systems; cellular mobile communication systems; channel-holding time distribution; performance evaluation; phase-type models; Control systems; Exponential distribution; Geometry; Informatics; Mathematical model; Mobile communication; Optical materials; Resource management; Telephony; Traffic control; Call-holding time; cell-residence time; mobility;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/TVT.2004.825803

Filename

1300866