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020 _a9783030824389
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024 7 _a10.1007/978-3-030-82438-9
_2doi
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082 0 4 _a004.6
_223
100 1 _aMorozov, Evsey.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aStability Analysis of Regenerative Queueing Models
_h[electronic resource] :
_bMathematical Methods and Applications /
_cby Evsey Morozov, Bart Steyaert.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXI, 185 p. 24 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1 Introduction -- 2 The Classical GI/G/1 and GI/G/m Queueing Systems -- 3 Tightness and Monotonicity -- 4 Generalizations of Multiserver Systems -- 5 State-dependent systems -- 6 N-models -- 7 Multiclass Retrial Systems with Constant Retrial Rates -- 8 Systems with State-Dependent Retrial Rates -- 9 A Multiclass Multiserver System with Classical Retrials -- 10 Other Related Models.
520 _aThe stability analysis of stochastic models for telecommunication systems is an intensively studied topic. The analysis is, as a rule, a difficult problem requiring a refined mathematical technique, especially when one endeavors beyond the framework of Markovian models. The primary purpose of this book is to present, in a unified way, research into the stability analysis of a wide variety of regenerative queueing systems. It describes the theoretical foundations of this method, and then shows how it works with particular models, both classic ones as well as more recent models that have received attention. The focus lies on an in-depth and insightful mathematical explanation of the regenerative stability analysis method. Topics and features: Offers a unified approach and addresses theoretical foundations Focuses on the stability analysis of queueing systems by means of a regenerative approach Provides many simple problems to help readers develop the basic skills Presents an in-depth and insightful mathematical explanation Covers the stability analysis of a wide variety of queueing models The unique volume can serve as a textbook for students working in these and related scientific areas. The material is also of interest to engineers working in telecommunications field, who may be faced with the problem of stability of queueing systems. Prof. Evsey Morozov is a chief researcher at the Institute of Applied Mathematical Research of the Karelian Research Centre, Russian Academy of Sciences, and professor at the Institute of Mathematics and Information Technologies at Petrozavodsk State University, Petrozavodsk, Russia. Dr. Bart Steyaert has been working as a researcher at the SMACS Research Group, Department TELIN, at Ghent University, Belgium.
650 0 _aComputer networks .
650 0 _aQueuing theory.
650 0 _aProbabilities.
650 0 _aComputer Networks.
650 1 4 _aComputer Communication Networks.
650 2 4 _aQueueing Theory.
650 2 4 _aProbability Theory.
650 2 4 _aComputer Networks.
700 1 _aSteyaert, Bart.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030824372
776 0 8 _iPrinted edition:
_z9783030824396
776 0 8 _iPrinted edition:
_z9783030824402
856 4 0 _uhttps://doi.org/10.1007/978-3-030-82438-9
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c175618
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