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Queues and Levy fluctuation theory[e...
~
Debicki, Krzysztof.
Queues and Levy fluctuation theory[electronic resource] /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
519.82
書名/作者:
Queues and Levy fluctuation theory/ by Krzysztof Debicki, Michel Mandjes.
作者:
Debicki, Krzysztof.
其他作者:
Mandjes, Michel.
出版者:
Cham : : Springer International Publishing :, 2015.
面頁冊數:
xi, 255 p. : : ill., digital ;; 24 cm.
Contained By:
Springer eBooks
標題:
Queuing theory.
標題:
Levy processes.
標題:
Mathematics.
標題:
Probability Theory and Stochastic Processes.
標題:
Applications of Mathematics.
ISBN:
9783319206936
ISBN:
9783319206929
內容註:
Introduction -- Levy processes and Levy-driven queues -- Steady-state workload -- Transient workload -- Heavy traffic -- Busy period -- Workload correlation function -- Stationary workload asymptotics -- Transient asymptotics -- Simulation of Levy-driven queues -- Variants of the standard queue -- Levy-driven tandem queues -- Levy-driven queueing networks -- Applications in communication networks -- Applications in mathematical finance -- Computational aspects: inversion techniques -- Concluding remarks -- Bibliography.
摘要、提要註:
The book provides an extensive introduction to queueing models driven by Levy-processes as well as a systematic account of the literature on Levy-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 Levy traffic models arise when modelling current queueing-type systems (as communication networks) and includes applications to finance. Queues and Levy 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.
電子資源:
http://dx.doi.org/10.1007/978-3-319-20693-6
Queues and Levy fluctuation theory[electronic resource] /
Debicki, Krzysztof.
Queues and Levy fluctuation theory
[electronic resource] /by Krzysztof Debicki, Michel Mandjes. - Cham :Springer International Publishing :2015. - xi, 255 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..
Introduction -- Levy processes and Levy-driven queues -- Steady-state workload -- Transient workload -- Heavy traffic -- Busy period -- Workload correlation function -- Stationary workload asymptotics -- Transient asymptotics -- Simulation of Levy-driven queues -- Variants of the standard queue -- Levy-driven tandem queues -- Levy-driven queueing networks -- Applications in communication networks -- Applications in mathematical finance -- Computational aspects: inversion techniques -- Concluding remarks -- Bibliography.
The book provides an extensive introduction to queueing models driven by Levy-processes as well as a systematic account of the literature on Levy-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 Levy traffic models arise when modelling current queueing-type systems (as communication networks) and includes applications to finance. Queues and Levy 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.
ISBN: 9783319206936
Standard No.: 10.1007/978-3-319-20693-6doiSubjects--Topical Terms:
405472
Queuing theory.
LC Class. No.: QA274.8
Dewey Class. No.: 519.82
Queues and Levy fluctuation theory[electronic resource] /
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Introduction -- Levy processes and Levy-driven queues -- Steady-state workload -- Transient workload -- Heavy traffic -- Busy period -- Workload correlation function -- Stationary workload asymptotics -- Transient asymptotics -- Simulation of Levy-driven queues -- Variants of the standard queue -- Levy-driven tandem queues -- Levy-driven queueing networks -- Applications in communication networks -- Applications in mathematical finance -- Computational aspects: inversion techniques -- Concluding remarks -- Bibliography.
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