Effects of Erlang call holding times on PCS call completion

Yi-Bing Lin*, Imrich Chlamtac

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


Previous performance studies of PCS channel allocation assumed that call holding times have an exponential distribution. The exponential call holding time assumption is justified for existing cellular systems, where wireless calls are charged based on the length of the call holding time. Future PCS systems may exercise flat rate billing, and consequently a more general distribution is desirable to model the call holding times. This paper models the call holding times by the Erlang distribution (a generalization of the exponential distribution) to investigate the effect of the variance of the call holding times on the call completion probability. Our analysis indicates that the call completion probability decreases as the variance of the call holding times decreases. This effect becomes more pronounced as the variance of the cell residence times decreases.

Original languageEnglish
Article number644578
Pages (from-to)916-922
Number of pages7
JournalProceedings - IEEE INFOCOM
StatePublished - 7 Apr 1997
EventProceedings of the 1997 16th IEEE Annual Conference on Computer Communications, INFOCOM. Part 1 (of 3) - Kobe, Jpn
Duration: 7 Apr 199712 Apr 1997

Cite this