A SIMPLE DERIVATION OF TRANSIENT QUEUE STATISTICS AND APPLICATIONS Academic Article

abstract

• A simple derivation for the time derivative of a large class of statistics associated with the size of a queue is presented. This method is based on a discrete time approximation in conjunction with conditional expectation and is suitable for any queueing system with multiple interconnected and controlled queues such that the overall dynamics can be modeled as a continuous-time Markov chain. The general procedure is specialized to obtain the Jackson network time-varying kth moment of system size (queue+server) as well as several special cases. Results are also obtained for a network of queues with Erlangian servers. Applications of these results to closure approximations for Jackson networks and to the approximation of statistics of controlled queues are also given. 1989.

authors

• Cantrell, Pierce

published proceedings

• PERFORMANCE EVALUATION

author list (cited authors)

• TSAI, W. K., & CANTRELL, P. E.

citation count

• 2

complete list of authors

• TSAI, WK||CANTRELL, PE

publication date

• November 1989

publisher

• Elsevier  Publisher

published in

• Performance Evaluation  Journal

Digital Object Identifier (DOI)

• 10.1016/0166-5316(89)90051-5

start page

• 103

end page

• 114

volume

• 10

issue

• 2

URL

• http://dx.doi.org/10.1016/0166-5316(89)90051-5