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Books > Business & Economics > Business & management > Management & management techniques > Operational research
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Sample-Path Analysis of Queueing Systems (Hardcover, 1999 ed.)
Loot Price: R4,177
Discovery Miles 41 770
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Sample-Path Analysis of Queueing Systems (Hardcover, 1999 ed.)
Series: International Series in Operations Research & Management Science, 11
Expected to ship within 18 - 22 working days
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Sample-Path Analysis of Queueing Systems uses a deterministic
(sample-path) approach to analyze stochastic systems, primarily
queueing systems and more general input-output systems. Among other
topics of interest it deals with establishing fundamental relations
between asymptotic frequencies and averages, pathwise stability,
and insensitivity. These results are utilized to establish useful
performance measures. The intuitive deterministic approach of this
book will give researchers, teachers, practitioners, and students
better insights into many results in queueing theory. The
simplicity and intuitive appeal of the arguments will make these
results more accessible, with no sacrifice of mathematical rigor.
Recent topics such as pathwise stability are also covered in this
context. The book consistently takes the point of view of focusing
on one sample path of a stochastic process. Hence, it is devoted to
providing pure sample-path arguments. With this approach it is
possible to separate the issue of the validity of a relationship
from issues of existence of limits and/or construction of
stationary framework. Generally, in many cases of interest in
queueing theory, relations hold, assuming limits exist, and the
proofs are elementary and intuitive. In other cases, proofs of the
existence of limits will require the heavy machinery of stochastic
processes. The authors feel that sample-path analysis can be best
used to provide general results that are independent of stochastic
assumptions, complemented by use of probabilistic arguments to
carry out a more detailed analysis. This book focuses on the first
part of the picture. It does however, provide numerous examples
that invoke stochastic assumptions, which typically are presented
at the ends of the chapters.
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