A discrete-time unreliable \(Geo/G/1\) retrial queue with balking customers, second optional service, and general retrial times (Q474188)
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: A discrete-time unreliable \(Geo/G/1\) retrial queue with balking customers, second optional service, and general retrial times |
scientific article; zbMATH DE number 6372685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete-time unreliable \(Geo/G/1\) retrial queue with balking customers, second optional service, and general retrial times |
scientific article; zbMATH DE number 6372685 |
Statements
A discrete-time unreliable \(Geo/G/1\) retrial queue with balking customers, second optional service, and general retrial times (English)
0 references
24 November 2014
0 references
Summary: This paper deals with the steady-state behavior of a discrete-time unreliable \(Geo/G/1\) retrial queueing system with balking customers and second optional service. The server may break down randomly while serving the customers. If the server breaks down, the server is sent to be repaired immediately. We analyze the Markov chain underlying the considered system and its ergodicity condition. Then, we obtain some performance measures based on the generating functions. Moreover, a stochastic decomposition result of the system size is investigated. Finally, some numerical examples are provided to illustrate the effect of some parameters on main performance measures of the system.
0 references
