Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
478713 | European Journal of Operational Research | 2010 | 5 Pages |
Abstract
We consider a new class of batch arrival retrial queues. By contrast to standard batch arrival retrial queues we assume if a batch of primary customers arrives into the system and the server is free then one of the customers starts to be served and the others join the queue and then are served according to some discipline. With the help of Lyapunov functions we have obtained a necessary and sufficient condition for ergodicity of embedded Markov chain and the joint distribution of the number of customers in the queue and the number of customers in the orbit in steady state. We also have suggested an approximate method of analysis based on the corresponding model with losses.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
G.I. Falin,