Vacation Queueing Models

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.

Comprehensive update of all kinds of vacation models. Moreover, it's the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues are presented in a book Updates results for MAP arrival vacation models, the finite buffer models, and bulk queue or batch service vacations, all of which are discussed in a systematic treatment Stochastic decomposition theorems are established as the core of the vacation queueing theory The presentation style is unique compared with the books published in the same field a "theorem and proof" format is used Includes supplementary material: sn.pub/extras

Klappentext

This book discusses systematically the many variations of vacation policy. The book discusses a variety of typical vacation model applications. The presentation style is unique compared with the books published in the same field - a "theorem and proof" format is used. Also, this is the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues have been presented in book form.

Inhalt
M/G/1 Type Vacation Models: Exhaustive Service.- M/G/1 Type Vacation Models: Nonexhaustive Service.- General-Input Single Server Vacation Models.- Markovian Multiserver Vacation Models.- General-Input Multiserver Vacation Models.- Optimization in Vacation Models.- Applications of Vacation Models.- References.