An M/G/1 Bernoulli feedback retrial queueing system with negative customers
| Autor: | S. Pavai Madheswari, B. Krishna Kumar, S. R. Anantha Lakshmi |
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| Rok vydání: | 2011 |
| Předmět: |
Numerical Analysis
Steady state (electronics) Markov chain M/G/k queue Computer science Strategy and Management M/D/1 queue Retrial queue Management Science and Operations Research Computer Science::Performance Bernoulli's principle Computational Theory and Mathematics Control theory Management of Technology and Innovation Modeling and Simulation M/G/1 queue Statistics Probability and Uncertainty Queue |
| Zdroj: | Operational Research. 13:187-210 |
| ISSN: | 1866-1505 1109-2858 |
| DOI: | 10.1007/s12351-011-0107-5 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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