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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

journal of applied mathematics and stochastic analysis

A spectral approach to compute the mean performance measures of the queue with low-order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="${\text{BMAP}}$" id="E1"><mml:mrow><mml:mtext>BMAP</mml:mtext></mml:mrow></mml:math> input

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