An Unreliable Unit with Requests of Several Types and Priority Service of a Request Interrupted by a Breakdown

P. P. Bocharov


Abstract: A single queue serving system with an unreliable unit at which there arrives a multivariate simple flow of requests is considered. The requests of the different types have exponentially distributed serving times. The time of sojourn of the unit in serviceable and unserviceable states is also exponentially distributed. The case is considered where on interruption of the service by a breakdown, the request returns to the queue. The cases of a finite and an infinite queue are analyzed. Two numerical examples are given.

UDC: 519.152

Received: 08.02.1967

 English version: Problems of Information Transmission, 1968, 4:2, 40–47