An optimal multithreshold control for the input flow of the GI/PH/1 queueing system with a BMAP flow of negative customers

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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Article ID: iaor2005763
Country: Netherlands
Volume: 65
Issue: 9
Start Page Number: 1417
End Page Number: 1428
Publication Date: Sep 2004
Journal: Automation and Remote Control
Authors: , ,
Keywords: GI/G/1 queues
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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