Abstract
In the article the GηI/G/1-type batch arrival system with infinite waiting-room is considered. The explicit formulae for the distribution of the virtual waiting time at any fixed moment t and as t → ∞ are obtained. The study is based on generalization of Korolyuk's method for semi-markov random walks.
| Original language | English |
|---|---|
| Pages (from-to) | 1235-1255 |
| Number of pages | 21 |
| Journal | Stochastic Analysis and Applications |
| Volume | 22 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Sept 2004 |
Keywords
- Batch arrival GI/G/1 queueing system
- Canonical factorization
- FIFO service discipline
- Virtual waiting time
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics
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