The stochastic decomposition results of batch arrival Poisson queue with a grand vacation process (Q2736964)
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: The stochastic decomposition results of batch arrival Poisson queue with a grand vacation process |
scientific article; zbMATH DE number 1645049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The stochastic decomposition results of batch arrival Poisson queue with a grand vacation process |
scientific article; zbMATH DE number 1645049 |
Statements
11 September 2001
0 references
0.90110373
0 references
0.8994696
0 references
0.8986163
0 references
The stochastic decomposition results of batch arrival Poisson queue with a grand vacation process (English)
0 references
An M\(^X/\text{M}/1\) queueing system with a grand vacation process in which arrivals occur according to compound Poison process with random size \(X\) is considered. The paper presents some decomposition results for a class of batch arrival Markovian queues. The decomposition result of departure point queue size distribution and that of the termination point of time in the idle period of the idle process are general and they cover many situations. Specific illustrations are given by some examples.
0 references
