The Resource Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart
Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart
Resource Information
The item Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of setbased probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuoustime Markov chains are analyzed from a theoretical and computational point of view. Topics include the ChapmanKolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birthdeath processes are analyzed in detail, as are queues with phasetype arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only). Numerous examples illuminate the mathematical theories; Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach; Each chapter concludes with an extensive set of exercises
 Language
 eng
 Extent
 xviii, 758 p.
 Contents

 Probability
 Combinatorics : the art of counting
 Random variables and distribution functions
 Joint and conditional distributions
 Expectations and more
 Discrete distribution functions
 Continuous distribution functions
 Bounds and limit theorems
 Discrete and continuoustime Markov chains
 Numerical solution of Markov chains
 Elementary queueing theory
 Queues with phasetype laws : neuts' matrixgeometric method
 The ztransform approach to solving Markovian queues
 The M/G/1 and G/M/1 queues
 Queueing networks
 Some probabilistic and deterministic applications of random numbers
 Uniformly distributed "random" numbers
 Nonuniformly distributed "random" numbers
 Implementing discreteevent simulations
 Simulation measurements and accuracy
 Isbn
 9780691140629
 Label
 Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling
 Title
 Probability, Markov chains, queues, and simulation
 Title remainder
 the mathematical basis of performance modeling
 Statement of responsibility
 William J. Stewart
 Language
 eng
 Summary
 Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of setbased probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuoustime Markov chains are analyzed from a theoretical and computational point of view. Topics include the ChapmanKolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birthdeath processes are analyzed in detail, as are queues with phasetype arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only). Numerous examples illuminate the mathematical theories; Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach; Each chapter concludes with an extensive set of exercises
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1946
 http://library.link/vocab/creatorName
 Stewart, William J.
 Dewey number
 519.201/13
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA273
 LC item number
 .S7532 2009
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/subjectName

 Probabilities
 Markov processes
 Queuing theory
 Label
 Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart
 Bibliography note
 Includes bibliographical references (p. [745]747) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Probability  Combinatorics : the art of counting  Random variables and distribution functions  Joint and conditional distributions  Expectations and more  Discrete distribution functions  Continuous distribution functions  Bounds and limit theorems  Discrete and continuoustime Markov chains  Numerical solution of Markov chains  Elementary queueing theory  Queues with phasetype laws : neuts' matrixgeometric method  The ztransform approach to solving Markovian queues  The M/G/1 and G/M/1 queues  Queueing networks  Some probabilistic and deterministic applications of random numbers  Uniformly distributed "random" numbers  Nonuniformly distributed "random" numbers  Implementing discreteevent simulations  Simulation measurements and accuracy
 Control code
 ocn255018592
 Dimensions
 27 cm.
 Extent
 xviii, 758 p.
 Isbn
 9780691140629
 Lccn
 2008041122
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 ill.
 Label
 Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart
 Bibliography note
 Includes bibliographical references (p. [745]747) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Probability  Combinatorics : the art of counting  Random variables and distribution functions  Joint and conditional distributions  Expectations and more  Discrete distribution functions  Continuous distribution functions  Bounds and limit theorems  Discrete and continuoustime Markov chains  Numerical solution of Markov chains  Elementary queueing theory  Queues with phasetype laws : neuts' matrixgeometric method  The ztransform approach to solving Markovian queues  The M/G/1 and G/M/1 queues  Queueing networks  Some probabilistic and deterministic applications of random numbers  Uniformly distributed "random" numbers  Nonuniformly distributed "random" numbers  Implementing discreteevent simulations  Simulation measurements and accuracy
 Control code
 ocn255018592
 Dimensions
 27 cm.
 Extent
 xviii, 758 p.
 Isbn
 9780691140629
 Lccn
 2008041122
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 ill.
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/ProbabilityMarkovchainsqueuesand/SE__nH_K8uQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/ProbabilityMarkovchainsqueuesand/SE__nH_K8uQ/">Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/ProbabilityMarkovchainsqueuesand/SE__nH_K8uQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/ProbabilityMarkovchainsqueuesand/SE__nH_K8uQ/">Probability, Markov chains, queues, and simulation : the mathematical basis of performance modeling, William J. Stewart</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>