1. Cost optimization of a repairable M/G/1 queue with a randomized policy and single vacation.
- Author
-
Yang, Dong-Yuh and Ke, Jau-Chuan
- Subjects
- *
MATHEMATICAL optimization , *COST analysis , *DISTRIBUTION (Probability theory) , *TABU search algorithm , *CONSUMERS , *QUEUING theory - Abstract
This paper deals with the ( p , N )-policy M/G/1 queue with an unreliable server and single vacation. Immediately after all of the customers in the system are served, the server takes single vacation. As soon as N customers are accumulated in the queue, the server is activated for services with probability p or deactivated with probability (1 − p ). When the server returns from vacation and the system size exceeds N , the server begins serving the waiting customers. If the number of customers waiting in the queue is less than N when the server returns from vacation, he waits in the system until the system size reaches or exceeds N . It is assumed that the server is subject to break down according to a Poisson process and the repair time obeys a general distribution. This paper derived the system size distribution for the system described above at a stationary point of time. Various system characteristics were also developed. We then constructed a total expected cost function per unit time and applied the Tabu search method to find the minimum cost. Some numerical results are also given for illustrative purposes. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF