DIFFUSION-APPROXIMATION TO A QUEUING SYSTEM WITH TIME-DEPENDENT ARRIVAL AND SERVICE RATES

Authors
DICRESCENZO A NOBILE AG
Citation
A. Dicrescenzo et Ag. Nobile, DIFFUSION-APPROXIMATION TO A QUEUING SYSTEM WITH TIME-DEPENDENT ARRIVAL AND SERVICE RATES, Queuing systems, 19(1-2), 1995, pp. 41-62
Citations number
22
Categorie Soggetti
Operatione Research & Management Science","Computer Science Interdisciplinary Applications
Journal title
Queuing systems → ACNP
ISSN journal
02570130
Volume
19
Issue
1-2
Year of publication
1995
Pages
41 - 62
Database
ISI
SICI code
0257-0130(1995)19:1-2<41:DTAQSW>2.0.ZU;2-Z
Abstract
A time nonhomogeneous diffusion approximation to a single server-singl e queue service system is obtained. Under various assumptions on the t ime-dependent functions appearing in the infinitesimal moments, transi ent and steady-state behaviour are analyzed. In particular, a diffusio n approximation characterized by space-linear and time-varying moments is studied. The density of the busy period and the probability for th e busy period to terminate are obtained. Finally, estimates of the goo dness of the diffusion approximation are given.