Elements of Queueing Theory Palm-Martingale Calculus and Stochastic Recurrences

Name: Elements of Queueing Theory Palm-Martingale Calculus and Stochastic Recurrences
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ISBN: 9780387533476

ISBN-10: 0387533478

List price: $93.00

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List price: $93.00
Publisher: Springer
Binding: Hardcover
Pages: 256
Size: 6.25" wide x 9.50" long x 0.75" tall
Weight: 1.188
Language: English



Introduction



The Palm-Martingale Calculus of Point Processes



Stationary Marked Point Processes



Intensity



Palm Probability



From Palm Probability to Stationary Probability



Examples



Local Aspects of Palm Probability



Ergodicity of Point Processes



Stochastic Intensity



The Connection Between Palm Probability and Stochastic Intensity



Poisson Imbedding



Stationarity and Coupling



Stability of the G/G/1/[infinity] Queue



Proof of Loynes' Theorem



The G/G/s/[infinity] Queue



Coupling



Stability of the G/G/1/0 Queue



Other Queueing Systems



Stability of Queueing Networks via Coupling



Stability of Queueing Networks via Recurrence Equations



The Saturation Rule



Formulas



Little's Formulas



H = [lambda]G



Event and Time Averages



Formulas Derived from Conservation Equations



Queueing Applications of the Stochastic Intensity Integration Formula



Stochastic Ordering and Comparison of Queues



Comparison of Service Disciplines



Comparison of Queues



Association Properties of Queues



Stochastic Comparison of Time-Stationary Queues



Proof of Strassen's Theorem


References


Index