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Elements of Queueing Theory : Palm Martingale Calculus and Stochastic Recurrences / by Francois Baccelli, Pierre Bremaud
(Stochastic Modelling and Applied Probability. ISSN:2197439X ; 26)
版 | 2nd ed. 2003. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2003 |
本文言語 | 英語 |
大きさ | XIV, 334 p : online resource |
著者標目 | *Baccelli, Francois author Bremaud, Pierre author SpringerLink (Online service) |
件 名 | LCSH:Probabilities LCSH:Statistics LCSH:Telecommunication LCSH:Econometrics FREE:Probability Theory FREE:Statistical Theory and Methods FREE:Communications Engineering, Networks FREE:Quantitative Economics |
一般注記 | The Palm Calculus of Point Processes -- Stationarity and Coupling -- Formulas -- Stochastic Ordering of Queues The Palm theory and the Loynes theory of stationary systems are the two pillars of the modern approach to queuing. This book, presenting the mathematical foundations of the theory of stationary queuing systems, contains a thorough treatment of both of these. This approach helps to clarify the picture, in that it separates the task of obtaining the key system formulas from that of proving convergence to a stationary state and computing its law. The theory is constantly illustrated by classical results and models: Pollaczek-Khintchin and Tacacs formulas, Jackson and Gordon-Newell networks, multiserver queues, blocking queues, loss systems etc., but it also contains recent and significant examples, where the tools developed turn out to be indispensable. Several other mathematical tools which are useful within this approach are also presented, such as the martingale calculus for point processes, or stochastic ordering for stationary recurrences. This thoroughly revised second edition contains substantial additions - in particular, exercises and their solutions - rendering this now classic reference suitable for use as a textbook HTTP:URL=https://doi.org/10.1007/978-3-662-11657-9 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783662116579 |
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EB00231898 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA273.A1-274.9 DC23:519.2 |
書誌ID | 4000110772 |
ISBN | 9783662116579 |
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※2017年9月4日以降