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020 _a9783540397052
_9978-3-540-39705-2
024 7 _a10.1007/b93837
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
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082 0 4 _a519.2
_223
100 1 _aAltman, Eitan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDiscrete-Event Control of Stochastic Networks: Multimodularity and Regularity
_h[electronic resource] /
_cby Eitan Altman, Bruno Gaujal, Arie Hordijk.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2003.
300 _aXVI, 316 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1829
505 0 _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.
520 _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.
650 0 _aDistribution (Probability theory.
650 0 _aSystems theory.
650 0 _aCombinatorics.
650 0 _aMathematical optimization.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aSystems Theory, Control.
_0http://scigraph.springernature.com/things/product-market-codes/M13070
650 2 4 _aCombinatorics.
_0http://scigraph.springernature.com/things/product-market-codes/M29010
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
700 1 _aGaujal, Bruno.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHordijk, Arie.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540203582
776 0 8 _iPrinted edition:
_z9783662190708
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1829
856 4 0 _uhttps://doi.org/10.1007/b93837
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
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