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Operations Research, Systems Engineering and Industrial Engineering Commons

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Industrial Engineering

Kettering University

Matrix-analytic methods

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

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 …


Preemptive Resume Priority Call Center Model With Two Classes Of Map Arrivals, Srinivas R. Chakravarthy, M. Senthil Kumar, R. Arumuganathan Jan 2013

Preemptive Resume Priority Call Center Model With Two Classes Of Map Arrivals, Srinivas R. Chakravarthy, M. Senthil Kumar, R. Arumuganathan

Industrial & Manufacturing Engineering Publications

Generally in call centers, voice calls (say Type 1 calls) are given higher priority over e-mails (say Type 2 calls). An arriving Type 1 call has a preemptive priority over a Type 2 call in service, if any, and the preempted Type 2 call enters into a retrial buffer (of finite capacity). Any arriving call not able to get into service immediately will enter into the pool of repeated calls provided the buffer is not full; otherwise, the call is considered lost. The calls in the retrial pool are treated alike (like Type 1) and compete for service after a …