Two queues with alternating service and server breakdown (Q749053)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Two queues with alternating service and server breakdown |
scientific article; zbMATH DE number 4172121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two queues with alternating service and server breakdown |
scientific article; zbMATH DE number 4172121 |
Statements
Two queues with alternating service and server breakdown (English)
0 references
1990
0 references
A single server performs service at two stations in a cyclic manner. Breakdowns and following repairs of the server can occur both at polling and service times. Assuming Poisson arrival processes to each station and a Poisson process of breakdowns, an approximate analysis of the mean value of the waiting time is presented via the handling of so-called service and polling completion times. A preemptive repeat discipline with always new samples of service and polling times, respectively, is used in the treatment of breakdowns. Numerical results evaluate the deduced formulas.
0 references
Poisson arrival processes
0 references
Poisson process of breakdowns
0 references
polling completion times
0 references
Numerical results
0 references
0.9229403
0 references
0.89045346
0 references
0.8884083
0 references
0.88068616
0 references
0.8784816
0 references
0.8783071
0 references
0.8761205
0 references
