Fundamentals of Queueing Theory, Solutions Manual
Description
Presents the basic statistical principles that are necessary to analyze the probabilistic nature of queues
Thoroughly revised and expanded to reflect the latest developments in the field, the fourth edition of Fundamentals of Queueing Theory illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research. It takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive outline of simple and more advanced queueing models. Newly featured topics include retrial queues, approximations for queueing networks, numerical inversion of transforms, and determining the appropriate number of servers to balance quality and cost of service. Dedication v Preface xi Acknowledgments xiii Introduction 1 Description of the Queueing Problem 2 Characteristics of Queueing Processes 3 Notation 7 Measuring System Performance 8 Some General Results 9 Simple Data Bookkeeping for Queues 12 Poisson Process and the Exponential Distribution 16 Markovian Property of the Exponential Distribution 20 Stochastic Processes and Markov Chains 24 Introduction to the QtsPlus Software 40 Problems 41 Simple Markovian Queueing Models 49 Birth-Death Processes 49 Single-Server Queues (M/M/1) 53 Multiserver Queues (M/M/c) 66 Choosing the Number of Servers 73 Queues with Truncation (M/M/c/K) 76 Erlang's Loss Formula (M/M/c/c) 81 Queues with Unlimited Service (M/M/[infinity]) 84 Finite-Source Queues 85 State-Dependent Service 91 Queues with Impatience 95 Transient Behavior 97 Busy-Period Analysis 102 Problems 103 Advanced Markovian Queueing Models 117 Bulk Input (M[superscript X]/M/1) 117 Bulk Service (M/M[superscript Y]/1) 123 Erlangian Models 128 Priority Queue Disciplines 141 Retrial Queues 157 Problems 171 Networks, Series, and Cyclic Queues 179 Series Queues 181 Open Jackson Networks 187 Closed Jackson Networks 195 Cyclic Queues 209 Extensions of Jackson Networks 210 Non-Jackson Networks 212 Problems 214 General Arrival or Service Patterns 219 General Service, Single Server (M/G/1) 219 General Service, Multiserver (M/G/c/[infinity], M/G/[infinity]) 254 General Input (G/M/1, G/M/c) 259 Problems 270 General Models and Theoretical Topics 277 G/E[subscript k]/1, G[superscript k]/M/1, and G/PH[subscript k]/1 277 General Input, General Service (G/G/1) 284 Poisson Input, Constant Service, Multiserver (M/D/c) 294 Semi-Markov and Markov Renewal Processes in Queueing 296 Other Queue Disciplines 301 Design and Control of Queues 306 Statistical Inference in Queueing 317 Problems 325 Bounds and Approximations 329 Bounds 330 Approximations 343 Network Approximations 356 Problems 367 Numerical Techniques and Simulation 369 Numerical Techniques 369 Numerical Inversion of Transforms 385 Discrete-Event Stochastic Simulation 398 Problems 421 References 427 Symbols and Abbreviations 439 Tables 447 Transforms and Generating Functions 455 Laplace Transforms 455 Generating Functions 462 Differential and Difference Equations 467 Ordinary Differential Equations 467 Difference Equations 483 QtsPlus Software 489 Instructions for Downloading 493 Index 495 Donald Gross is the author of Solutions Manual to accompany Fundamentals of Queueing Theory, 4e, published by Wiley. John F. Shortle is the author of Solutions Manual to accompany Fundamentals of Queueing Theory, 4e, published by Wiley.
PUBLISHER:
Wiley
ISBN-13:
9780470077962
BINDING:
Paperback
BISAC:
Mathematics
BOOK DIMENSIONS:
Dimensions: 160.00(W) x Dimensions: 232.40(H) x Dimensions: 6.40(D)
AUDIENCE TYPE:
General/Adult
LANGUAGE:
English