Differential and Difference Equations with Applications in Queueing Theory

A newly updated and authoritative exploration of differential and difference equations used in queueing theory In the newly revised second edition of Differential and Difference Equations with Applications in Queueing Theory, a team of distinguished researchers delivers an up-to-date discussion of the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. The authors provide a deep exploration of first principles and a wide variety of examples in applied mathematics and engineering and stochastic processes. This book demonstrates the wide applicability of queuing theory in a range of fields, including telecommunications, traffic engineering, computing, and facility design. It contains brand-new information on partial differential equations as a prerequisite for solving queueing models, as well as sample MATLAB code for addressing these models. Readers will also find: A large collection of new examples and enhanced end-of-chapter problems with included solutionsComprehensive explorations of single-server, multiple-server, parallel, and series queue modelsPractical discussions of splitting, delayed-service, and delayed feedbackEnhanced treatments of concepts queueing theory, accessible across engineering and mathematics Perfect for junior and up undergraduate, as well as graduate students in electrical and mechanical engineering, Differential and Difference Equations with Applications in Queueing Theory will also benefit students of computer science, mathematics, and applied mathematics.