Research Catalog

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

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.

Subjects

• Queuing theory
• Point processes

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