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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Dudin, A.N., Kim, C.S. & Semenova, O.V. An Optimal Multithreshold Control for the Input Flow of the GI/PH/1 Queueing System with a BMAP Flow of Negative Customers. Automation and Remote Control 65, 1417–1428 (2004). https://doi.org/10.1023/B:AURC.0000041420.76700.a3
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DOI: https://doi.org/10.1023/B:AURC.0000041420.76700.a3