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Discrete-Event Control of Stochastic Networks : Multimodularity and Regularity - Eitan Altman

Discrete-Event Control of Stochastic Networks

Multimodularity and Regularity

Paperback Published: 17th November 2003
ISBN: 9783540203582
Number Of Pages: 316

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Opening new directions in research in both discrete event dynamic systems as well as in stochastic control, this volume focuses on a wide class of control and of optimization problems over sequences of integer numbers. This is a counterpart of convex optimization in the setting of discrete optimization. The theory developed is applied to the control of stochastic discrete-event dynamic systems. Some applications are admission, routing, service allocation and vacation control in queuing networks. Pure and applied mathematicians will enjoy reading the book since it brings together many disciplines in mathematics: combinatorics, stochastic processes, stochastic control and optimization, discrete event dynamic systems, algebra.

Preface
Theoretical Foundations
Multimodularity, Convexity and Optimization
Balanced Sequences
Stochastic Event Graphs
Admission and Routing Control
Admission Control in Stochastic Event Graphs
Applications in Queuing Networks
Optimal Routing
Optimal Routing in two Deterministic Queues
Several Extensions:nbsp;Networks with no Buffers
Vacancies, Service Allocation and Polling
Monotonicity of Feedback Control
Comparisons
Comparison of Queues with Discrete-time Arrival Processes
Simplex Convexity
Orders and Bounds for Multimodular Functions
Regular Ordering
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540203582
ISBN-10: 3540203583
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 316
Published: 17th November 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.75
Weight (kg): 0.47