International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 2003 / Article

Open Access

Volume 16 |Article ID 586078 | https://doi.org/10.1155/S1048953303000273

Ho Woo Lee, Jong Min Moon, Jong Keun Park, Byung Kyu Kim, "A spectral approach to compute the mean performance measures of the queue with low-order BMAP input", International Journal of Stochastic Analysis, vol. 16, Article ID 586078, 12 pages, 2003. https://doi.org/10.1155/S1048953303000273

A spectral approach to compute the mean performance measures of the queue with low-order BMAP input

Received01 Oct 2002
Revised01 May 2003

Abstract

This paper targets engineers and practitioners who want a simple procedure to compute the mean performance measures of the Batch Markovian Arrival process (BMAP/G/1) queueing system when the parameter matrices order is very low. We develop a set of system equations and derive the vector generating function of the queue length. Starting from the generating function, we propose a spectral approach that can be understandable to those who have basic knowledge of M/G/1 queues and eigenvalue algebra.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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