Cargando…

Queues and Lévy Fluctuation Theory

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dębicki, Krzysztof (Autor), Mandjes, Michel (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Universitext,
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-20693-6
003 DE-He213
005 20220116224609.0
007 cr nn 008mamaa
008 150806s2015 sz | s |||| 0|eng d
020 |a 9783319206936  |9 978-3-319-20693-6 
024 7 |a 10.1007/978-3-319-20693-6  |2 doi 
050 4 |a QA273.A1-274.9 
072 7 |a PBT  |2 bicssc 
072 7 |a PBWL  |2 bicssc 
072 7 |a MAT029000  |2 bisacsh 
072 7 |a PBT  |2 thema 
072 7 |a PBWL  |2 thema 
082 0 4 |a 519.2  |2 23 
100 1 |a Dębicki, Krzysztof.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Queues and Lévy Fluctuation Theory  |h [electronic resource] /  |c by Krzysztof Dębicki, Michel Mandjes. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XI, 255 p. 12 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Universitext,  |x 2191-6675 
505 0 |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. 
520 |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. 
650 0 |a Probabilities. 
650 0 |a Mathematics. 
650 1 4 |a Probability Theory. 
650 2 4 |a Applications of Mathematics. 
700 1 |a Mandjes, Michel.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319206943 
776 0 8 |i Printed edition:  |z 9783319206929 
830 0 |a Universitext,  |x 2191-6675 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-20693-6  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)