Vacation Queueing Models with Server Breakdowns - Softcover

Chandrasekaran, V. M.; Saravanarajan, M. C.; Rajadurai, P.

Softcover

ISBN 10: 3659644110 ISBN 13: 9783659644115

Verlag: LAP LAMBERT Academic Publishing, 2014

Inhaltsangabe

An M[x]/G/1 retrial system with two phases of heterogeneous service, where the server is subjected to breakdown at each phase of service and operates under Bernoulli vacation policy is considered. In the proposed model, any arriving batch finding the server busy, breakdown or on vacation enters an orbit. Otherwise one customer from the arriving batch enters a service immediately while the rest join the orbit. After the completion of two phases of service, the server either goes for a vacation with probability p or may continue to serve the next customer with probability 1- p. At a vacation completion epoch, the server waits for the customers, if any in the orbit, or for new customers to arrive. While the server is working with any phase of service, it may breakdown at any instant and the service channel will fail for a short interval of time. We have constructed the mathematical model and the steady-state probability distribution of number of customers in the system when it is idle, busy, on vacation and under repair are derived. Finally, some system performance measures and the effect of various parameters measures are discussed.

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Über die Autorin bzw. den Autor

V.M. Chandrasekaran is the Dean of School of Advanced Sciences in VIT University. He was awarded his PhD degree by University of Madras in the year 1997. He has 25+ years of teaching and research experience. His area of research is Algebra and Queueing theory. He has published more than 50 research articles in reputed journals.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 3659644110
• ISBN 13: 9783659644115
• Einband: Taschenbuch
• Anzahl der Seiten: 104
• Kontakt zum Hersteller: Nicht verfügbar
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