Difference and Differential Equations with Applications in Queueing Theory

<p><b>A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models</b></p> <p><i>Difference and Differential Equations with Applications in Queueing Theory</i> presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations.</p> <p>The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, <i>Difference and Differential Equations with Applications in Queueing Theory</i> provides:</p> <ul> <li>A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models</li> <li>Applications in queue models whose solutions require differential difference equations and generating function methods</li> <li>Exercises at the end of each chapter along with select answers</li> </ul> <p>The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.</p>