Mathematical Methods in Queuing Theory by Vladimir V. KalashnikovMathematical Methods in Queuing Theory by Vladimir V. Kalashnikov

Mathematical Methods in Queuing Theory

byVladimir V. Kalashnikov

Paperback | December 5, 2010

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This volume presents an overview of mathematical methods used in queuing theory, and various examples of solutions of problems using these methods are given. Many of the topics considered are not traditional, and include general Markov processes, test functions, coupling methods, probability metrics, continuity of queues, quantitative estimates in continuity, convergence rate to the stationary state and limit theorems for the first occurrence times. Much attention is also devoted to the modern theory of regenerative processes. Each chapter concludes with problems and comments on the literature cited. For researchers and graduate students in applied probability, operations research and computer science.
Title:Mathematical Methods in Queuing TheoryFormat:PaperbackDimensions:390 pages, 11.69 × 8.27 × 0 inPublished:December 5, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:904814339X

ISBN - 13:9789048143399

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Table of Contents

Preface. List of Notations and Abbreviations. 1. The Subject of Queuing Theory. 2. Necessary Facts from Probability Theory and the Theory of Analytic Functions. 3. Random Flows. 4. Elementary Methods in Queuing. 5. Markov Chains. 6. Renewal Processes. 7. Regenerative Processes. 8. Discrete Time Markov Queuing Models. 9. Markov Queuing Models. 10. Method of Supplementary Variables. 11. First-Occurrence Events. References. Subject Index.