Discrete-Event Control of Stochastic Networks
Subtitle: Multimodularity and Regularity (Lecture Notes in Mathematics)
Edition: 1 edition
Publisher: Springer
Published: January 22, 2004
Language: eng
Format: Paperback
Number of pages: 313
ISBN-13: 9783540203582
Subjects: Stochastics; Science/Mathematics; Discrete Mathematics; Computers - General Information; Mathematics; Queuing theory; Probability & Statistics - General; Discrete-time systems; Applied; Cybernetics; 60-XX, 60C05, 49-XX, 93-XX; Mathematics / Statistics; combinatorics; control of queueing systems; discrete event systems; multimodularity; optimal control with no information; Stochastic analysis; Control theory
First sentence: This chapter presents the theoretical framework useful in the following chapters dedicated to the control of the input in networks.
Description: 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.