A. N. Dudin, Kim Che Soong, O. V. Semyonova, “An optimal multithreshold control for the input flow of the <nobr>$GI/PH/1$</nobr> queueing system with a BMAP flow of negative customers”, Avtomat. i Telemekh., 2004, Issue 9,Pages <nobr>71

This article is cited in 9 papers

Queuing Systems

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

A. N. Dudin^a, Kim Che Soong^b, O. V. Semyonova^a

^a Belarusian State University, Minsk
^b Sangji University, Wonju, Gangwon Province

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.

Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 15.12.2003