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＜E-Book＞
Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity / by Eitan Altman, Bruno Gaujal, Arie Hordijk
(Lecture Notes in Mathematics. ISSN:16179692 ; 1829)

Edition	1st ed. 2003.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2003
Language	English
Size	XVI, 316 p : online resource
Authors	*Altman, Eitan author Gaujal, Bruno author Hordijk, Arie author SpringerLink (Online service)
Subjects	LCSH:Probabilities LCSH:System theory LCSH:Control theory LCSH:Discrete mathematics LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Probability Theory FREE:Systems Theory, Control FREE:Discrete Mathematics FREE:Calculus of Variations and Optimization
Notes	Preface -- Part I: Theoretical Foundations: Multimodularity, Convexity and Optimization; Balanced Sequences; Stochastic Event Graphs -- Part II: Admission and Routing Control: Admission Control in Stochastic Event Graphs; Applications in Queuing Networks; Optimal Routing; Optimal Routing in two Deterministic Queues -- Part III: Several Extensions: Networks with no Buffers; Vacancies, Service Allocation and Polling; Monotonicity of Feedback Control -- Part IV: Comparisons: Comparison of Queues with Discrete-time Arrival Processes; Simplex Convexity; Orders and Bounds for Multimodular Functions; Regular Ordering -- References -- Index 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 queueing 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 HTTP:URL=https://doi.org/10.1007/b93837

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