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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering

A Retrieval Queueing Model With Feedback, Agassi Melikov, Srinivas Chakravarthy, Sevinc Aliyeva Nov 2022

A Retrieval Queueing Model With Feedback, Agassi Melikov, Srinivas Chakravarthy, Sevinc Aliyeva

Industrial & Manufacturing Engineering Publications

A multi-server retrial queuing model with feedback is considered in this paper.Input flow of calls is modeled using a Markovian Arrival Process (M AP) and the service time is assumed to follow an exponential distribution. An arriving call enters into service should there be a free server. Otherwise, in accordance to Bernoulli trials, the call will enter into an infinite orbit (referred to as a retrial orbit) to retry along with other calls to get into service or will leave the system forever. After obtaining a service each call, independent of the others, will either enter into a finite orbit …


Analysis Of A Queueing Model With Map Arrivals And Heterogeneous Phase-Type Group Services, Srinivas R. Chakravarthy Sep 2022

Analysis Of A Queueing Model With Map Arrivals And Heterogeneous Phase-Type Group Services, Srinivas R. Chakravarthy

Industrial & Manufacturing Engineering Publications

Queueing models have proven to be very useful in real-life applications to enable the practitioners to optimize the limited resources to conduct their businesses as well as offer services efficiently. In general, we can group such applications into two sectors: manufacturing and service. These two sectors cover everything we deal with on a day-to-day basis. Queues in which the services are offered in blocks (or groups or batches) are well established in the literature and have a wide variety of applications in practice. In this paper, we look at one such queueing model in which the arrivals occur according to …