Abstract
We consider a discrete-time batch Markovian arrival process (D-BMAP)/G/1 retrial queue. We find the light-tailed asymptotics for the stationary distributions of the number of customers at embedded epochs and at arbitrary time. Using these tail asymptotics we propose a method for calculating the stationary distributions of the number of customers at embedded epochs and at arbitrary time. Numerical examples are presented to illustrate our results.
Original language | English |
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Pages (from-to) | 1220-1227 |
Number of pages | 8 |
Journal | Computers and Operations Research |
Volume | 37 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2010 Jul |
Keywords
- D-BMAP/G/1 retrial queue
- Queue size distribution
- Tail asymptotics
ASJC Scopus subject areas
- Computer Science(all)
- Modelling and Simulation
- Management Science and Operations Research