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Titlebook: Stochastic Networks; Paul Glasserman,Karl Sigman,David D. Yao Conference proceedings 1996 Springer-Verlag New York, Inc. 1996 Jackson netw

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书目名称Stochastic Networks
编辑Paul Glasserman,Karl Sigman,David D. Yao
视频video
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Stochastic Networks;  Paul Glasserman,Karl Sigman,David D. Yao Conference proceedings 1996 Springer-Verlag New York, Inc. 1996 Jackson netw
描述Two of the most exciting topics of current research in stochastic networks are the complementary subjects of stability and rare events - roughly, the former deals with the typical behavior of networks, and the latter with significant atypical behavior. Both are classical topics, of interest since the early days of queueing theory, that have experienced renewed interest mo­ tivated by new applications to emerging technologies. For example, new stability issues arise in the scheduling of multiple job classes in semiconduc­ tor manufacturing, the so-called "re-entrant lines;" and a prominent need for studying rare events is associated with the design of telecommunication systems using the new ATM (asynchronous transfer mode) technology so as to guarantee quality of service. The objective of this volume is hence to present a sample - by no means comprehensive - of recent research problems, methodologies, and results in these two exciting and burgeoning areas. The volume is organized in two parts, with the first part focusing on stability, and the second part on rare events. But it is impossible to draw sharp boundaries in a healthy field, and inevitably some articles touch on both issu
出版日期Conference proceedings 1996
关键词Jackson network; Rang; probability; stochastic network; combinatorics
版次1
doihttps://doi.org/10.1007/978-1-4612-4062-4
isbn_softcover978-0-387-94828-7
isbn_ebook978-1-4612-4062-4Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag New York, Inc. 1996
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https://doi.org/10.1007/978-1-4612-4062-4Jackson network; Rang; probability; stochastic network; combinatorics
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Asymptotics and Uniform Bounds for Multiclass Queueing Networks the throughput for every population size . in a closed irreducible network. Also, it has been shown in [1] that one can obtain linear programs which provide bounds on the coefficients {..} in the expansion ., which then bounds the mean number in an open system for every nominal load . in the system. We provide a brief account of these results.
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Nonparametric Estimation of Tail Probabilities for the Single-Server Queueme that the queue is out in the tail. We show that for reflected Brownian motion, the M/M/1 queue-length process, and the GI/G/1 waiting time sequence that the amount of time over which one must observe the queue grows exponentially in the tail parameter when such a nonparametric estimator is used.
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Overloading Parallel Servers when Arrivals Join the Shortest Queuetive processes to prove exact asymptotic results on the mean time for the queue at the first server to attain a high level .. We also give the limiting behaviour of the second queue at this hitting time as well as the steady state of the second queue when the first contains . customers.
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