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 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 input
This paper targets engineers and practitioners who want a simple procedure to compute the mean performance measures of the Batch Markovian Arrival process 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 queues and eigenvalue algebra.
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