Time dependent analysis of T-policy M/M/1 queues - A new approach

Authors
Sen, K Gupta, R
Citation
K. Sen et R. Gupta, Time dependent analysis of T-policy M/M/1 queues - A new approach, ST SCI M H, 34(4), 1998, pp. 453-473
Citations number
22
Categorie Soggetti
Mathematics
Journal title
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
ISSN journal
00816906 → ACNP
Volume
34
Issue
4
Year of publication
1998
Pages
453 - 473
Database
ISI
SICI code
0081-6906(1998)34:4<453:TDAOTM>2.0.ZU;2-9
Abstract
This paper demonstrates a simple and elegant lattice path combinatoric tech nique for computing transient probabilities concerning M/M/1 queueing model s. Through this lattice path approach time dependent analysis of T-policy M /M/1 queue is presented. The transient probabilities computed herein are fr ee from modified Bessel function and are amenable to pragmatic probabilisti c interpretations. As a special case the results for ordinary M/M/1 queues are checked.