Abstract
This paper analyzes an M/M/1 retrial queue under differentiated vacations and Bernoulli feedback policy. On receiving the service, if the customer is not satisfied, then he may join the retrial group again with some probability and demand for service or may leave the system with the complementary probability. Using the probability generating functions technique, the steady-state solutions of the system are obtained. Furthermore, we have obtained some of the important performance measures such as expected orbit length, expected length of the system, sojourn times and probability of server being in different states. Using MATLAB software, we have represented the graphical interpretation of the results obtained. Finally, the cost is optimized using the parabolic method.
Recommended Citation
Gupta, Poonam; Kumar, Naveen; and Gupta, Rajni
(2022).
(R1971) Analysis of Feedback Queueing Model with Differentiated Vacations under Classical Retrial Policy,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
Iss.
2, Article 2.
Available at:
https://digitalcommons.pvamu.edu/aam/vol17/iss2/2