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: | Dudin A.N., Kim C.S., Semenova O.V. |
Keywords: | GI/G/1 queues |
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.