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60K25 Probability theory and stochastic processes -- Special processes -- Queueing theory

60K10 Probability theory and stochastic processes -- Special processes -- Applications (reliability, demand theory, etc.)

60-02 Probability theory and stochastic processes -- Research exposition (monographs, survey articles) En-ligne: Zentralblatt | Springerlink - ed. 2003 dans Applications of mathematics | MathSciNet

Location | Call Number | Status | Date Due |
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Salle R | 10752-01 / 60 ASM (Browse Shelf) | Available |

Bibliogr. p. 308-315. Index

The aim of this book is to give an introduction into the mathematical methods of queueing theory and related fields. The main point is: “probabilistic” methods and proofs are presented in contrast to the more traditional analytic methods of queueing theory. The book has three parts of nearly equal length: Part 1: Markov processes and Markovian queueing theory; Part 2: Renewal theory; Part 3: Special models and methods. Possibly the intentions of the author become more transparent from the following examples: i) The first propositions after defining a Markov chain are stated in terms of conditional expectations (strong Markov property) and the techniques available from this are applied. ii) The renewal theorem is proved twice: Firstly the analytic proof of Feller is presented, and after that the coupling proof which goes back to Lindvall. ... The book may be used as a textbook for a graduate or postgraduate courses in applied probability for students having a background in stochastic processes. This book is a useful supplement to the existing literature on queueing theory and applied probability. (Zentralblatt).

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