A Multi-Server Queue With Markovian Flow Of Negative Customers

Abstract

A multi-server queue with finite buffer is considered. The input flow is the BMAP (Batch Markovian Arrival Process). The service time has PH (phase-type) distribution. The customers from the BMAP enter the system according to the discipline of partial admission. Besides ordinary (positive) customers, the Markovian flow of negative customers arrives to the system. A negative customer deletes an ordinary customer in service or in the buffer. The stationary distribution and main performance measures of the system are calculated. The numerical examples are presented.