Research Catalog
Elements of queueing theory : Palm-Martingale calculus and stochastic recurrences
- Title
- Elements of queueing theory : Palm-Martingale calculus and stochastic recurrences / François Baccelli, Pierre Brémaud.
- Author
- Baccelli, F. (François), 1954-
- Publication
- Berlin ; New York : Springer-Verlag, [1994], ©1994.
Items in the Library & Off-site
Filter by
1 Item
Status | Format | Access | Call Number | Item Location |
---|---|---|---|---|
Text | Request in advance | QA274.8 .B33 1994 | Off-site |
Holdings
Details
- Additional Authors
- Brémaud, Pierre.
- Description
- ix, 256 pages : illustrations; 24 cm.
- Series Statement
- Applications of mathematics ; 26
- Uniform Title
- Applications of mathematics ; 26.
- Subject
- Bibliography (note)
- Includes bibliographical references (p. [245]-252) and index.
- Contents
- Ch. 1. The Palm-Martingale Calculus of Point Processes. 1. Stationary Marked Point Processes. 2. Intensity. 3. Palm Probability. 4. From Palm Probability to Stationary Probability. 5. Examples. 6. Local Aspects of Palm Probability. 7. Ergodicity of Point Processes. 8. Stochastic Intensity. 9. The Connection Between Palm Probability and Stochastic Intensity. 10. Poisson Imbedding -- Ch. 2. Stationarity and Coupling. 1. Stability of the G/G/1/[infinity] Queue. 2. Proof of Loynes' Theorem. 3. The G/G/s/[infinity] Queue. 4. Coupling. 5. Stability of the G/G/1/0 Queue. 6. Other Queueing Systems. 7. Stability of Queueing Networks via Coupling. 8. Stability of Queueing Networks via Recurrence Equations. 9. The Saturation Rule -- Ch. 3. Formulas. 1. Little's Formulas. 2. H = [lambda]G. 3. Event and Time Averages. 4. Formulas Derived from Conservation Equations. 5. Queueing Applications of the Stochastic Intensity Integration Formula -- Ch. 4. Stochastic Ordering and Comparison of Queues.
- 1. Comparison of Service Disciplines. 2. Comparison of Queues. 3. Association Properties of Queues. 4. Stochastic Comparison of Time-Stationary Queues. 5. Proof of Strassen's Theorem.
- ISBN
- 3540533478 (Berlin : acid-free)
- 0387533478 (New York : acid-free)
- LCCN
- 93041286
- OCLC
- 29256412
- ocm29256412
- Owning Institutions
- Columbia University Libraries