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008 170212s2015 gw | s |||| 0|eng d
020 _a9783319206936
_9978-3-319-20693-6
024 7 _a10.1007/978-3-319-20693-6
_2doi
035 _ato000560353
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aDębicki, Krzysztof.
_eauthor.
_9467595
245 1 0 _aQueues and Lévy Fluctuation Theory
_helectronic resource
_cby Krzysztof Dębicki, Michel Mandjes.
250 _a1st ed. 2015.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXI, 255 p. 12 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aUniversitext,
_x0172-5939
505 0 _aIntroduction -- Lévy processes and Lévy-driven queues -- Steady-state workload -- Transient workload -- Heavy traffic -- Busy period -- Workload correlation function -- Stationary workload asymptotics -- Transient asymptotics -- Simulation of Lévy-driven queues -- Variants of the standard queue -- Lévy-driven tandem queues -- Lévy-driven queueing networks -- Applications in communication networks -- Applications in mathematical finance -- Computational aspects: inversion techniques -- Concluding remarks -- Bibliography.
520 _aThe book provides an extensive introduction to queueing models driven by Lévy-processes as well as a systematic account of the literature on Lévy-driven queues. The objective is to make the reader familiar with the wide set of probabilistic techniques that have been developed over the past decades, including transform-based techniques, martingales, rate-conservation arguments, change-of-measure, importance sampling, and large deviations. On the application side, it demonstrates how Lévy traffic models arise when modelling current queueing-type systems (as communication networks) and includes applications to finance. Queues and Lévy Fluctuation Theory will appeal to graduate/postgraduate students and researchers in mathematics, computer science, and electrical engineering. Basic prerequisites are probability theory and stochastic processes.
650 0 _amathematics.
_9566183
650 0 _aApplied mathematics.
_9460111
650 0 _aEngineering mathematics.
_9303575
650 0 _aProbabilities.
_9295556
650 1 4 _aMathematics.
_9566184
650 2 4 _aProbability Theory and Stochastic Processes.
_9303734
650 2 4 _aApplications of Mathematics.
_9296781
700 1 _aMandjes, Michel.
_eauthor.
_9467596
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aUniversitext,
_9112098
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-20693-6
912 _aZDB-2-SMA
999 _c415251