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The Optimal Control in Batch Arrival Queue with Server Vacations , Startup and Breakdowns
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jau-Chuan, Ke |
| Copyright Year | 2005 |
| Abstract | This paper studies the N policy M/G/1 queue with server vacations; startup and breakdowns, where arrivals form a compound Poisson process and service times are generally distributed. The server is turned off and takes a vacation whenever the system is empty. If the number of customers waiting in the system at the instant of a vacation completion is less than N, the server will take another vacation. If the server returns from a vacation and finds at least N customers in the system, he is immediately turned on and requires a startup time before providing the service until the system is empty again. It is assumed that the server breaks down according to a Poisson process whose repair time has a general distribution. The system characteristics of such a model are analyzed and the total expected cost function per unit time is developed to determine the optimal threshold of N at a minimum cost. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.doiserbia.nb.rs/img/doi/0354-0243/2004/0354-02430401041K.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Assumed Loss function Optimal control Server (computer) Server (computing) vacation |
| Content Type | Text |
| Resource Type | Article |
