Article ID: | iaor20134316 |
Volume: | 13 |
Issue: | 2 |
Start Page Number: | 187 |
End Page Number: | 210 |
Publication Date: | Jul 2013 |
Journal: | Operational Research |
Authors: | Krishna Kumar B, Pavai Madheswari S, Anantha Lakshmi S |
Keywords: | markov processes |
A single server retrial queue with negative customers and two types of Bernoulli feedback is considered. A necessary and sufficient condition for the system to be stable is investigated. The system size probabilities at output epochs are obtained by using an embedded Markov chain. Further, the joint generating functions of queue length and server status are studied by using supplementary variables method. Some important system performance measures are derived. Busy period of the system is also discussed. Finally, extensive numerical illustrations are provided.