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Operations Research, Systems Engineering and Industrial Engineering Commons

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Industrial Engineering

Kettering University

Markovian arrival process

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

Efficient Redundancy Techniques In Cloud And Desktop Grid Systems Using Map/G/C-Type Queues, Srinivas R. Chakravarthy, Alexander Rumyantsev Mar 2018

Efficient Redundancy Techniques In Cloud And Desktop Grid Systems Using Map/G/C-Type Queues, Srinivas R. Chakravarthy, Alexander Rumyantsev

Industrial & Manufacturing Engineering Publications

Cloud computing is continuing to prove its flexibility and versatility in helping industries and businesses as well as academia as a way of providing needed computing capacity. As an important alternative to cloud computing, desktop grids allow to utilize the idle computer resources of an enterprise/community by means of distributed computing system, providing a more secure and controllable environment with lower operational expenses. Further, both cloud computing and desktop grids are meant to optimize limited resources and at the same time to decrease the expected latency for users. The crucial parameter for optimization both in cloud computing and in desktop …


Map/Ph/1 Queueing Model With Working Vacation And Crowdsourcing, Srinivas R. Chakravarthy, Serife Ozkar Sep 2016

Map/Ph/1 Queueing Model With Working Vacation And Crowdsourcing, Srinivas R. Chakravarthy, Serife Ozkar

Industrial & Manufacturing Engineering Publications

Crowdsourcing has been used in different domains such as healthcare, computer science, environmental sciences, business and marketing. However, only recently, queueing models useful in the context of crowdsourcing have been studied. These studies involve queueing models of the type M/M/c, MAP/PH/1, and MAP/PH/c. In this paper we introduce vacation and working vacation in the context of MAP/PH/1 with crowdsourcing and highlight the qualitative aspects of the model through illustrative examples.


Analysis Of A Multi-Server Queueing Model With Vacations And Optional Secondary Services, Srinivas R. Chakravarthy Jan 2013

Analysis Of A Multi-Server Queueing Model With Vacations And Optional Secondary Services, Srinivas R. Chakravarthy

Industrial & Manufacturing Engineering Publications

In this paper we study a multi-server queueing model in which the customer arrive according to a Markovian arrival process. The customers may require, with a certain probability, an optional secondary service upon completion of a primary service. The secondary services are offered (in batches of varying size) when any of the following conditions holds good: (a) upon completion of a service a free server finds no primary customer waiting in the queue and there is at least one secondary customer (including possibly the primary customer becoming a secondary customer) waiting for service; (b) upon completion of a primary service, …