In most of the queueing models, service is considered to be complete without any interruption. But in reality, queueing systems are subject to interruptions due to failure of server or any other cause. In the present article, we present an overview and literature survey on the performance modeling and analysis of single server, general service queueing system with service interruption using supplementary variable technique. The factors causing service interruption such as unreliable server and server vacation are elaborated. The brief of supplementary variable technique to establish the queue size distribution is explained for single server non-Markovian queueing models by incorporating the features of service interruption. The basic concepts and review of literature on the queues with server breakdown and/or vacationing server are described. The research works done during last 10 years (2010–2019) on queues with service interruption involving many other key concepts namely Bernoulli vacation, multiple vacation, bulk arrival, discouragement, etc. and queueing scenarios of service interruption are reported. Some specific applications are also highlighted.

Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)

In this paper, we consider multistage batch arrival, batch service (fixed batch size) queue having multiple vacation policy subject to server breakdown with the delayed repair. In addition, the ser...

Analysis of multistage M[X]/GK/1 queue with different server’s interruptions and its application in energy consumption

This paper deals with the optimisation of various resources in a network under multiple objectives such as project duration and cost criteria. In this work, the Multiple electric Vehicles a...

C. Vijayalakshmi

Papers

Analysis of multistage M[X]/GK/1 queue with different server’s interruptions and its application in energy consumption

A framework for the rechargeable energy for multi-vehicle Travelling Salesman Problem with single repository