A Multi-server Queueing Model with Markovian Arrivals and Phase Type Cooperative Services - Simulation Approach
Communications in Computer and Information Science
International Conference on Information Technologies and Mathematical Modelling
In Chakravarthy  a new class of queueing models in which one type of customers opt for cooperative services with fellow customers was introduced in the context of a single server. Under the assumption of versatile Markovian point process for the arrivals, exponential services, and with a limit of no more than two groups of cooperative customers be present in the system, the model was analyzed in steady-state and some interesting numerical examples were illustrated in . In this paper we generalize that cooperative services model by relaxing the assumptions of single server, exponential services, and only two groups be present at any given time. Thus, we consider a multi-server queueing model in which the customers arrive according to a versatile Markovian point process. One type of customers require individual services whereas the second type of customers opt for a cooperative service (to be offered along with other similar customers). We assume that at any given time there can be at mos K,2
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Chakravarthy, Srinivas R., "A Multi-server Queueing Model with Markovian Arrivals and Phase Type Cooperative Services - Simulation Approach" (2015). Industrial & Manufacturing Engineering Presentations And Conference Materials. 30.