Optimal hysteretic control for a <mml:math alttext="$BMAP/SM/1/N$" id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>B</mml:mi><mml:mi>M</mml:mi><mml:mi>A</mml:mi><mml:mi>P</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:math> queue with two operation modes

Dudin, Alexander N.; Nishimura, Shoichi

doi:https://doi.org/10.1155/S1024123X99001167

Mathematical Problems in Engineering

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Volume 5 | Article ID 192937 | https://doi.org/10.1155/S1024123X99001167

Optimal hysteretic control for a BMAP/SM/1/N queue with two operation modes

Alexander N. Dudin¹and Shoichi Nishimura²

Received11 Sept 1998

Abstract

We consider BMAP/SM/1 type queueing system with finite buffer of size N. The system has two operation modes, which are characterized by the matrix generating function of BMAP-input, the kernel of the semi-Markovian service process, and utilization cost. An algorithm for determining the optimal hysteresis strategy is presented.

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Copyright © 2000 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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