an:02193732
Zbl 1094.90008
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
EN
Autom. Remote Control 65, No. 9, 1417-1428 (2004); translation from Avtom. Telemekh. 2004, No. 9, 71-84 (2004).
00116774
2004
j
90B22
Summary: 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.