1st Edition
by Aliakbar Montazer Haghighi (Author), Dimitar P. Mishev (Author)
A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models
Difference and Differential Equations with Applications in Queueing Theory
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.
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, Difference and Differential Equations with Applications in Queueing Theory provides:
- A
discussion on splitting, delayed-service, and delayed feedback for
single-server, multiple-server, parallel, and series queue models
- Applications in queue models whose solutions require differential difference equations and generating function methods
- Exercises at the end of each chapter along with select answers
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.
