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Altman, Eitan.

Discrete-event control of stochastic networks : multimodularity and regularity / Eitan Altman, Bruno Gaujal, Arie Hordijk. - xiv, 313 pages : illustrations ; 24 cm. - Lecture notes in mathematics, 1829. 0075-8434 ; .

Includes bibliographical references and index.

Table Of Contents: Introduction Part I Theoretical foundations 1 Multimodularity, Convexity and Optimization 2 Balanced Sequences 3 Stochastic Event Graphs Part II Admission and routing control 4 Admission control in stochastic event graphs 5 Applications in queuing networks 6 Optimal routing 7 Optimal routing in two deterministic queues 8 Networks with no buffers 9 Vacancies, service allocation and polling 10 Monotonicity of feedback control Part IV Comparisons 11 Comparison of queues with discrete-time arrival processes 12 Simplex convexity 13 Orders and bounds for multimodular functions 14 Regular Ordering References Index

ISBN: 3540203583 9783540203582

Subjects--Topical Terms:
Control theory.
Queuing theory.
Stochastic analysis.
Discrete-time systems.

LC Class. No.: QA274 / .A48 2003