Single Channel Constant Capacity Bulk Service Oueueing Process With An Intermittently Available Server^*

* Part of this work was carried out under the financial assistance of the Canadian Mathematical Congress whose support is gratefully acknowledged.

Abstract

This paper analyses a transient solution of a bulk service queueing problem wherein the arrivals follow a Poisson distribution, but the server is available in alternate, independently and exponentially distributed intervals with different means; except that, when the system is empty, he is available immediately to the arriving customer or customers in the bulk service case.

Résumé

Ce papier traite le régime transitoire d’une file d’attente au service en gros où les arrivées suivent une loi de Poisson et le serveur est disponible dans des intervales de temps qui suivent des lois exponentielles avec moyennes différentes, sauf quand le systéme est vide, dans quel cas le serveur est disponible immédiatement.

Notes

* Part of this work was carried out under the financial assistance of the Canadian Mathematical Congress whose support is gratefully acknowledged.