An Optimal Multithreshold Control for the Input Flow of the GI/PH/1 Queueing System with a BMAP Flow of Negative Customers |
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| Authors: | A N Dudin C S Kim O V Semenova |
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| Affiliation: | (1) Belarussian State University, Minsk, Belarus;(2) Sangji University, Wonju, Korea |
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| Abstract: | A GI/PH/1 queueing system with an additional flow of negative customers is studied. The system has many operation modes differing in the distribution of inter-arrival lengths. Mode control depends on the queue length at arrival instants defined by a multithreshold strategy. The stationary state probability distribution of the system for fixed thresholds is studied. Numerical examples are given to illustrate the determination of the optimal threshold set in a fixed search domain. |
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