On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals (Q1611999)
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: On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals |
scientific article; zbMATH DE number 1790721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals |
scientific article; zbMATH DE number 1790721 |
Statements
On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals (English)
0 references
28 August 2002
0 references
The paper deals with finite- and infinite-capacity queues with discrete-time batch Markovian arrival processes (D-BMAP) under the assumption of the late arrival system with delayed access as well as the early arrival system. Using simple arguments such as the balance equation, ``rate in equals rate out'', relationships among the stationary queue lengths at arrival, at departure, and at random epochs are derived. Such relationships hold for a broad class of discrete-time queues with D-BMAP arrivals.
0 references
discrete-time queues
0 references
discrete-time batch Markovian arrival process
0 references
0.9304415
0 references
0.8839863
0 references
0.8738277
0 references
