TY - JOUR
T1 - Effects of Erlang call holding times on PCS call completion
AU - Lin, Yi-Bing
AU - Chlamtac, Imrich
PY - 1997/4/7
Y1 - 1997/4/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031336889&partnerID=8YFLogxK
U2 - 10.1109/INFCOM.1997.644578
DO - 10.1109/INFCOM.1997.644578
M3 - Conference article
AN - SCOPUS:0031336889
SN - 0743-166X
VL - 2
SP - 916
EP - 922
JO - Proceedings - IEEE INFOCOM
JF - Proceedings - IEEE INFOCOM
M1 - 644578
T2 - Proceedings of the 1997 16th IEEE Annual Conference on Computer Communications, INFOCOM. Part 1 (of 3)
Y2 - 7 April 1997 through 12 April 1997
ER -