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Optimal Hysteretic Control for a BMAP/SM/1/N Queue with Two Operation Modes

Mathematical Problems in Engineering (2000) 5(5) 397-419
DOI: 10.1155/S1024123X99001167
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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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Dudin, A. N., & Nishimura, S. (2000). Optimal Hysteretic Control for a BMAP/SM/1/N Queue with Two Operation Modes. Mathematical Problems in Engineering, 5(5), 397–419. https://doi.org/10.1155/S1024123X99001167

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