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Performance analysis of an M/G/1 retrial G-queue with feedbackunder working breakdown services |
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| รหัสดีโอไอ | |
| Creator | 1. Pakkirisami Rajadurai 2. M. Sundararaman 3. Devadoss Narasimhan |
| Title | Performance analysis of an M/G/1 retrial G-queue with feedbackunder working breakdown services |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2020 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 42 |
| Journal No. | 1 |
| Page no. | 236-247 |
| Keyword | retrial queue, G queue, feedback, working breakdown services |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | In this paper, we investigate a new type of retrial queueing model with feedback and working breakdown services. Theregular busy server may become defective by disasters (negative customers) at any point of time. Negative customers arrive onlyat the service time of a positive customer and remove the positive customer from the service. At the instant of failure, the mainserver is sent for repair and the repair period begins immediately. During the repair period, the server gives service at a lowerspeed (called working breakdown period). The steady state probability generating function for system size and orbit size areobtained using the method of supplementary variable. We also obtain some analytic expressions for various performancemeasures such as system state probabilities, mean orbit size, and mean system size of this model and some important specialcases are discussed. Finally, some numerical examples are presented to study the impact of the system parameters. |
