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INTERNATIONAL JOURNAL OF SCIENTIFIC DEVELOPMENT AND RESEARCH International Peer Reviewed & Refereed Journals, Open Access Journal ISSN Approved Journal No: 2455-2631 | Impact factor: 8.15 | ESTD Year: 2016 open access , Peer-reviewed, and Refereed Journals, Impact factor 8.15 |
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| Paper Title: | Unreliable Retrial M^{X}/G/1 Queueing Systems under Exhaustive and Non-exhaustive Vacations with Feedback Services |
| Authors Name: | A. Pon Kiruthiga , M.I. Afthab Begum |
| Unique Id: | IJSDR2004027 |
| Published In: | Volume 5 Issue 4, April-2020 |
| Abstract: | A retrial batch arrival single server queueing system is considered with generally distributed service time. Whenever the system becomes empty, the server takes vacation following the Multiple Adapted Vacation (MAV) policy. The MAV policy generates all the other server vacations including the non-vacation case. The present paper also assumes that the server may take Bernoulli schedule single vacation in between two consecutive services for pre-preparatory work or maintenance of the system. The system is subjected to unpredictable breakdowns and the service interrupted customers resume their service from the point of interruption as soon as the system is fixed. Also, a customer who is not satisfied with the service may demand for instantaneous re-services. The system is analysed under steady-state and the probability generating functions of the queue size, the queue size probabilities and mean queue lengths when the system is in different states are obtained. The performance measures of the system are also inspected numerically. Decomposition property for vacation is established and the results of various vacation models are derived as particular cases. |
| Keywords: | Retrial, Multiple Adapted vacation, Bernoulli Schedule vacation, breakdown, feedback. |
| Cite Article: | "Unreliable Retrial M^{X}/G/1 Queueing Systems under Exhaustive and Non-exhaustive Vacations with Feedback Services", International Journal of Science & Engineering Development Research (www.ijsdr.org), ISSN:2455-2631, Vol.5, Issue 4, page no.168 - 174, April-2020, Available :http://www.ijsdr.org/papers/IJSDR2004027.pdf |
| Downloads: | 000337071 |
| Publication Details: | Published Paper ID: IJSDR2004027 Registration ID:191597 Published In: Volume 5 Issue 4, April-2020 DOI (Digital Object Identifier): Page No: 168 - 174 Publisher: IJSDR | www.ijsdr.org ISSN Number: 2455-2631 |
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