Indian Journal of Science and Technology
Year: 2021, Volume: 14, Issue: 11, Pages: 915-931
Neelam Singla1, Harwinder Kaur2*
1Assistant Professor, Department of Statistics, Punjabi University, Patiala, 147002, India
2Research Scholar, Department of Statistics, Punjabi University, Patiala, 147002, India. Tel.:+99465311134
Email: [email protected]
Received Date:17 July 2020, Accepted Date:26 February 2021, Published Date:09 April 2021
Objective: In this study we consider a two-state retrial queueing system with feedback having two identical parallel servers. Transient state probabilities for exact number of arrivals and departures from the system will be obtained when both, one or none of the servers is busy. Numerical and graphical solutions will also be obtained. Methods: The difference-differential equations governing the system are solved recursively, Laplace transform is then used to obtain the transient state probabilities for exact number of arrivals and departures from the system. Findings: Time dependent probabilities are obtained when both, one and none of the servers is busy. Numerical and Graphical solutions are also obtained using MATLAB programming. Novelty: In past research, models considered arrivals and departures from the orbit whereas in present model arrivals and departures from the system are studied along with the concept of feedback. Applications: This type of model is implemented in computer systems. Mathematics Subject Classification: 60K25, 90B22, 60M20
Keywords: Arrivals; Departures; Queueing; Retrial; Feedback
© 2021 Singla & Kaur.This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee).
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