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|a 9783319206936
|9 978-3-319-20693-6
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|a 10.1007/978-3-319-20693-6
|2 doi
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|a QA273.A1-274.9
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|a 519.2
|2 23
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|a Dębicki, Krzysztof.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Queues and Lévy Fluctuation Theory
|h [electronic resource] /
|c by Krzysztof Dębicki, Michel Mandjes.
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|a 1st ed. 2015.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2015.
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|a XI, 255 p. 12 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Universitext,
|x 2191-6675
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|a Introduction -- 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.
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|a The 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.
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|a Probabilities.
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|a Mathematics.
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|a Probability Theory.
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|a Applications of Mathematics.
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|a Mandjes, Michel.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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710 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319206943
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|i Printed edition:
|z 9783319206929
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|a Universitext,
|x 2191-6675
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856 |
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|u https://doi.uam.elogim.com/10.1007/978-3-319-20693-6
|z Texto Completo
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912 |
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|a ZDB-2-SMA
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912 |
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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