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Author: D. Kouvatsos
Publisher:
ISBN: 9780632030118
Category :
Languages : en
Pages :
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Book Description
Examines performance analysis of general queuing network models of computer and communications systems using the principle of maximum entropy, its extensions and the generalized exponential distributions.
Author: D. Kouvatsos
Publisher:
ISBN: 9780632030118
Category :
Languages : en
Pages :
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Book Description
Examines performance analysis of general queuing network models of computer and communications systems using the principle of maximum entropy, its extensions and the generalized exponential distributions.
Author: Jia-Yu Chen
Publisher:
ISBN:
Category : Comparative analysis
Languages : en
Pages : 10
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Book Description
This paper deals with the N policy M/G/1 queue with working breakdowns. In this queueing system, the steady-state probabilities cannot be derived explicitly. Thus, we employ a maximum entropy approach with several constraints to develop the approximate formulae for the steady-state probability distributions of queue length and the expected waiting time in the queue. We perform a comparative analysis between the approximate results with established exact results for different service time distributions, such as exponential, two-stage Erlang, two-stage hyper-exponential, and deterministic. Numerical results demonstrate that the maximum entropy approach is quite accurate for practical purposes and is useful for complex queueing-systems solving.
Author: M. A. Affendi (El-)
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
Author: Irfan Ullah Awan
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Over the recent years, queueing network models with finite capacities have received considerable attention due to their applicability, under various blocking mechanisms, towards manufacturing systems and communication networks. Closed form analytical solutions are not generally attainable in this field and as a consequence much work has been devoted towards the derivation of approximate solutions. New product form approximations, based on the principle of maximum entropy (ME) are characterised for (a) a censored G/G/1/N queue with....
Author: Vladimir Anisimov
Publisher: John Wiley & Sons
ISBN: 1119755212
Category : Mathematics
Languages : en
Pages : 336
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Book Description
The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).
Author: University of Toronto. Computer Systems Research Institute
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: B. Robbe J. Walstra
Publisher:
ISBN:
Category : Computer networks
Languages : en
Pages :
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Book Description
Author: Jagat Narain Kapur
Publisher: John Wiley & Sons
ISBN: 9788122402162
Category : Technology & Engineering
Languages : en
Pages : 660
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Book Description
This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear Spectral Analysis Of Time Series, Pattern Recognition, Marketing And Elections, Operations Research And Reliability Theory, Image Processing, Computerised Tomography, Biology And Medicine. There Are Over 600 Specially Constructed Exercises And Extensive Historical And Bibliographical Notes At The End Of Each Chapter.The Book Should Be Of Interest To All Applied Mathematicians, Physicists, Statisticians, Economists, Engineers Of All Types, Business Scientists, Life Scientists, Medical Scientists, Radiologists And Operations Researchers Who Are Interested In Applying The Powerful Methodology Based On Maximum Entropy Principle In Their Respective Fields.
Author: Henryk Gzyl
Publisher: World Scientific
ISBN: 9810218125
Category : Mathematics
Languages : en
Pages : 161
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Book Description
This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics. This yearly event aims at acquainting graduate students and university teachers with the trends, techniques and open problems of current interest. In this book the author reviews several versions of the maximum entropy method and makes its underlying philosophy clear.
Author: Karmeshu
Publisher: Springer
ISBN: 3540362126
Category : Technology & Engineering
Languages : en
Pages : 300
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Book Description
The last two decades have witnessed an enormous growth with regard to ap plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values etc. ; and it is then required to construct a probabilistic model from this partial information. In such situations, the principle of maximum entropy provides a rational ba sis for constructing a probabilistic model. It is thus necessary and important to keep track of advances in the applications of maximum entropy principle to ever expanding areas of knowledge.
