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

Ho Woo Lee, Jong Min Moon, Jong Keun Park and Byung Kyu Kim

International Journal of Stochastic Analysis, 2003, vol. 16, 1-12

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:586078

DOI: 10.1155/S1048953303000273

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