© 2006

Vacation Queueing Models Theory and Applications


Part of the International Series in Operations Research & Management Science book series (ISOR, volume 93)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Naishuo Tian, Zhe George Zhang
    Pages 1-7
  3. Naishuo Tian, Zhe George Zhang
    Pages 9-75
  4. Naishuo Tian, Zhe George Zhang
    Pages 77-127
  5. Naishuo Tian, Zhe George Zhang
    Pages 129-192
  6. Naishuo Tian, Zhe George Zhang
    Pages 193-267
  7. Naishuo Tian, Zhe George Zhang
    Pages 269-296
  8. Naishuo Tian, Zhe George Zhang
    Pages 297-342
  9. Naishuo Tian, Zhe George Zhang
    Pages 343-358
  10. Naishuo Tian, Zhe George Zhang
    Pages 359-382
  11. Back Matter
    Pages 383-385

About this book


A classical queueing model consists of three parts - arrival process, service process, and queue discipline. However, a vacation queueing model has an additional part - the vacation process which is governed by a vacation policy - that can be characterized by three aspects: 1) vacation start-up rule; 2) vacation termination rule, and 3) vacation duration distribution. Hence, vacation queueing models are an extension of classical queueing theory.

Vacation Queueing Models: Theory and Applications discusses systematically and in detail the many variations of vacation policy. By allowing servers to take vacations makes the queueing models more realistic and flexible in studying real-world waiting line systems. Integrated in the book's discussion are a variety of typical vacation model applications that include call centers with multi-task employees, customized manufacturing, telecommunication networks, maintenance activities, etc. Finally, contents are presented in a "theorem and proof" format and it is invaluable reading for operations researchers, applied mathematicians, statisticians; industrial, computer, electrical and electronics, and communication engineers; computer, management scientists; and graduate students in the above disciplines.


Manufacturing Markov Operations Research Stochastic Processes Tian Zhang applications electronics embedded Markov chains model models optimization queueing theory vacation

Authors and affiliations

  1. 1.Yanshan UniversityQinhuangdaoChina
  2. 2.Western Washington UniversityBellinghamUSA

Bibliographic information


From the reviews:

"This book provides a comprehensive, up-to-date treatment of various queueing systems with server vacations. … The book can be used as a reference on vacation queueing systems by both researchers and practitioners." (Dieter Fiems, Journal of the American Statistical Association, Vol. 103 (484), December, 2008)