Unreliable Retrial M^{X}/G/1 Queueing Systems under Exhaustive and Non-exhaustive Vacations with Feedback Services
A. Pon Kiruthiga
, M.I. Afthab Begum
Retrial, Multiple Adapted vacation, Bernoulli Schedule vacation, breakdown, feedback.
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.
"Unreliable Retrial M^{X}/G/1 Queueing Systems under Exhaustive and Non-exhaustive Vacations with Feedback Services", IJSDR - International Journal of Scientific Development and Research (www.IJSDR.org), ISSN:2455-2631, Vol.5, Issue 4, page no.168 - 174, April-2020, Available :https://ijsdr.org/papers/IJSDR2004027.pdf
Volume 5
Issue 4,
April-2020
Pages : 168 - 174
Paper Reg. ID: IJSDR_191597
Published Paper Id: IJSDR2004027
Downloads: 000347210
Research Area: Applied Mathematics
Country: Erode, Tamil Nadu, India
ISSN: 2455-2631 | IMPACT FACTOR: 9.15 Calculated By Google Scholar | ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 9.15 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Publisher: IJSDR(IJ Publication) Janvi Wave
