Analysis of Retrial Queue with Heterogeneous Servers and Markovian Arrival Process
Multi-server retrial queueing system with heterogeneous servers is analyzed. Customers arrive to the system according to the Markovian arrival process. Arriving primary customers and customers retrying from orbit occupy available server with the highest s
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V. C. Joshua S. R. S. Varadhan Vladimir M. Vishnevsky Editors
Applied Probability and Stochastic Processes
Infosys Science Foundation Series Infosys Science Foundation Series in Mathematical Sciences
Series Editors Irene Fonseca, Carnegie Mellon University, Pittsburgh, PA, USA Gopal Prasad, University of Michigan, Ann Arbor, USA Editorial Board Manindra Agrawal, Indian Institute of Technology Kanpur, Kanpur, India Weinan E, Princeton University, Princeton, USA Chandrashekhar Khare, University of California, Los Angeles, USA Mahan Mj, Tata Institute of Fundamental Research, Mumbai, India Ritabrata Munshi, Tata Institute of Fundamental Research, Mumbai, India S. R. S. Varadhan, New York University, New York, USA
The Infosys Science Foundation Series in Mathematical Sciences is a sub-series of The Infosys Science Foundation Series. This sub-series focuses on high-quality content in the domain of mathematical sciences and various disciplines of mathematics, statistics, bio-mathematics, financial mathematics, applied mathematics, operations research, applied statistics and computer science. All content published in the sub-series are written, edited, or vetted by the laureates or jury members of the Infosys Prize. With this series, Springer and the Infosys Science Foundation hope to provide readers with monographs, handbooks, professional books and textbooks of the highest academic quality on current topics in relevant disciplines. Literature in this sub-series will appeal to a wide audience of researchers, students, educators, and professionals across mathematics, applied mathematics, statistics and computer science disciplines.
More information about this subseries at http://www.springer.com/series/13817
V. C. Joshua • S. R. S. Varadhan • Vladimir M. Vishnevsky Editors
Applied Probability and Stochastic Processes
Editors V. C. Joshua Department of Mathematics CMS College Kottayam, India
S. R. S. Varadhan Courant Institute of Mathematical Sciences New York University New York, NY, USA
Vladimir M. Vishnevsky Institute of Control Sciences Russian Academy of Sciences Moscow, Russia
ISSN 2363-6149 ISSN 2363-6157 (electronic) Infosys Science Foundation Series ISSN 2364-4036 ISSN 2364-4044 (electronic) Infosys Science Foundation Series in Mathematical Sciences ISBN 978-981-15-5950-1 ISBN 978-981-15-5951-8 (eBook) https://doi.org/10.1007/978-981-15-5951-8 Mathematics Subject Classification: 60B10, 60J65, 60K20, 60K25, 60K30, 62H99, 68M18, 90B05, 90B15, 91B05 © The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar meth
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