THE TELETRAFFIC ANALYSIS OF THE MULTISERVER LOSS MODEL WITH RENEWAL DISTRIBUTIONS

Citation
Wj. Hsin et A. Vandeliefvoort, THE TELETRAFFIC ANALYSIS OF THE MULTISERVER LOSS MODEL WITH RENEWAL DISTRIBUTIONS, Telecommunication systems, 5(4), 1996, pp. 303-321
Citations number
37
Categorie Soggetti
Telecommunications
Journal title
ISSN journal
10184864
Volume
5
Issue
4
Year of publication
1996
Pages
303 - 321
Database
ISI
SICI code
1018-4864(1996)5:4<303:TTAOTM>2.0.ZU;2-O
Abstract
This paper presents a loss model in which a general renewal arrival st ream is served by any number of general renewal servers, i.e., the GI/ GI/s/s model. Using linear algebraic queueing theory (LAQT), we provid e the exact steady-state solution of the number of customers in the GI /GI/s/s model at general, arrival, and departure times. We show that t he steady-state solution at arrival times can be used to approximate t hose at general times and that the third moment of the arrival process significantly affects this approximation. Finally, we show that a con jectured inequality does not hold.