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024 7 $a10.1007/b93837
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035   $a(DE-He213)978-3-540-39705-2
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100   $a20121227d2003      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aDiscrete-Event Control of Stochastic Networks: Multimodularity and Regularity /$fby Eitan Altman, Bruno Gaujal, Arie Hordijk
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (XVI, 316 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1829
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-20358-3 
327   $aPreface -- 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.
330   $aOpening new directions in research in both discrete event dynamic systems as well as in stochastic control, this volume focuses on a wide class of control and of optimization problems over sequences of integer numbers. This is a counterpart of convex optimization in the setting of discrete optimization. The theory developed is applied to the control of stochastic discrete-event dynamic systems. Some applications are admission, routing, service allocation and vacation control in queueing networks. Pure and applied mathematicians will enjoy reading the book since it brings together many disciplines in mathematics: combinatorics, stochastic processes, stochastic control and optimization, discrete event dynamic systems, algebra.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1829
606   $aProbabilities
606   $aSystem theory
606   $aCombinatorial analysis
606   $aCalculus of variations
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
615  0$aProbabilities.
615  0$aSystem theory.
615  0$aCombinatorial analysis.
615  0$aCalculus of variations.
615 14$aProbability Theory and Stochastic Processes.
615 24$aSystems Theory, Control.
615 24$aCombinatorics.
615 24$aCalculus of Variations and Optimal Control; Optimization.
676   $a510 s
676   $a003/.5
700   $aAltman$b Eitan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0150733
702   $aGaujal$b Bruno$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aHordijk$b Arie$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144620103321
996   $aDiscrete-Event Control of Stochastic Networks: Multimodularity and Regularity$92517681
997   $aUNINA