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Title: Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)
Authors: Jain, Madhu
Kaur S.
Singh P.
Published in: Operational Research
Abstract: 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. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Citation: Operational Research (2019), (): -
Issue Date: 2019
Publisher: Springer Verlag
Keywords: Bulk input
Queue length
Supplementary variable
Unreliable server
ISSN: 11092858
Author Scopus IDs: 7402070856
Author Affiliations: Jain, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Kaur, S., Department of Mathematics, Guru Nanak Dev University, Amritsar, 143005, India
Singh, P., Department of Mathematics, Guru Nanak Dev University, Amritsar, 143005, India
Corresponding Author: Kaur, S.; Department of Mathematics, Guru Nanak Dev UniversityIndia; email:
Appears in Collections:Journal Publications [MA]

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