A new formula for the busy period of a non-empty multiserver queueing system

Authors:
A. M. K. Tarabia
Affiliations:
Mathematics Department, College of Science, King Saud University, P.O. Box 237, Burieda 81999, Saudi Arabia
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 2
Cited 1

Busy Period Analysis of a Time-Sharing System: transform inversion

Journal of the ACM (JACM)
A new formula for the transient behaviour of a non-empty M/M/1/∞ queue

Applied Mathematics and Computation

Analysis of random walks with an absorbing barrier and chemical rule

Journal of Computational and Applied Mathematics

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Abstract

In a recent paper Sharma and Tarabia [Sankhyâ 62 (2) (2000) 273-281] obtain a density function of a busy period for an empty multichannel Markovian queue in series form. In this paper a simple approach is applied to obtain the busy period density function by taking an arbitrary number (say i) of customers present in the system initially. Also a general form for the kth order moment of the busy period distribution is given.