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- catalog alternative "Palm-martingale calculus and stochastic recurrences".
- catalog contributor b12829936.
- catalog contributor b12829937.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "1. The Palm calculus of point processes -- 1.1 Stationary marked point process -- 1.2 Palm probability -- 1.3 Basic formulas of Palm calculus -- 1.4 Examples -- 1.5 Local aspect of Palm probability -- 1.6 Ergodicity of a point process -- 1.7 Palm theory in discrete time -- 1.8 Stochastic intensity -- 1.9 Palm probability and stochastic intensity -- 1.10 Solutions to exercises -- 1.11 Bibliographical comments -- 2. Stationarity and coupling -- 2.1 Stability of the single server queue -- 2.2 Proof of Loynes' theorem -- 2.3 The multiserver queue -- 2.4 Coupling -- 2.5 Stochastic recurrences and their stationary regimes -- 2.6 Stability of the G/G/1/0 queue -- 2.7 The fluid queue -- 2.8 Other queueing systems -- 2.9 Stability of queueing networks via coupling -- 2.10 Queueing network stability via recurrence equations -- 2.11 Non-expansive stochastic recurrences -- 2.12 Solutions to exercises -- 2.13 Bibliographical comments -- 3. Formulas -- 3.1 The Little formula -- 3.2 Other applications of Campbell's formula -- 3.3 Event and time averages -- 3.4 Formulas derived from conservation equations -- 3.5 Applications of the stochastic intensity integration formula -- 3.6 Solutions to exercises -- 3.7 Bibliographical comments -- 4. Stochastic ordering of queues -- 4.1 Comparison of service disciplines -- 4.2 Comparison of queues -- 4.3 Association properties of queues -- 4.4 Stochastic comparison of time-stationary queues -- 4.5 Solutions to exercises -- 4.6 Bibliographical comments.".
- catalog description "Includes bibliographical references (p. [317]-327) and index.".
- catalog extent "xiv, 334 p. :".
- catalog identifier "3540660887 (acid-free paper)".
- catalog isPartOf "Applications of mathematics, 0172-4568 ; 26".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "519.8/2 21".
- catalog subject "Point processes.".
- catalog subject "QA274.8 .B33 2003".
- catalog subject "Queuing theory.".
- catalog tableOfContents "1. The Palm calculus of point processes -- 1.1 Stationary marked point process -- 1.2 Palm probability -- 1.3 Basic formulas of Palm calculus -- 1.4 Examples -- 1.5 Local aspect of Palm probability -- 1.6 Ergodicity of a point process -- 1.7 Palm theory in discrete time -- 1.8 Stochastic intensity -- 1.9 Palm probability and stochastic intensity -- 1.10 Solutions to exercises -- 1.11 Bibliographical comments -- 2. Stationarity and coupling -- 2.1 Stability of the single server queue -- 2.2 Proof of Loynes' theorem -- 2.3 The multiserver queue -- 2.4 Coupling -- 2.5 Stochastic recurrences and their stationary regimes -- 2.6 Stability of the G/G/1/0 queue -- 2.7 The fluid queue -- 2.8 Other queueing systems -- 2.9 Stability of queueing networks via coupling -- 2.10 Queueing network stability via recurrence equations -- 2.11 Non-expansive stochastic recurrences -- 2.12 Solutions to exercises -- 2.13 Bibliographical comments -- 3. Formulas -- 3.1 The Little formula -- 3.2 Other applications of Campbell's formula -- 3.3 Event and time averages -- 3.4 Formulas derived from conservation equations -- 3.5 Applications of the stochastic intensity integration formula -- 3.6 Solutions to exercises -- 3.7 Bibliographical comments -- 4. Stochastic ordering of queues -- 4.1 Comparison of service disciplines -- 4.2 Comparison of queues -- 4.3 Association properties of queues -- 4.4 Stochastic comparison of time-stationary queues -- 4.5 Solutions to exercises -- 4.6 Bibliographical comments.".
- catalog title "Elements of queueing theory : Palm Martingale calculus and stochastic recurrences / François Baccelli, Pierre Brémaud.".
- catalog title "Palm-martingale calculus and stochastic recurrences".
- catalog type "text".