A multi-server queueing model with server consultations
European Journal of Operational Research
We consider a multi-server queueing model in which the arrivals occur according to a Markovian arrival process. One of the servers, henceforth referred to as the main server, offers consultation to fellow servers (referred to as regular servers) apart from serving the customers. A regular server may request a consultation only when serving a customer and is offered consultation on a first-come-first-served basis by the main server. The main server gives a preemptive priority to regular servers (for consulting) over customers. Thus, the main server can undergo interruptions during his/her servicing the customers. Under the assumptions of exponential services and consultations, the model is analyzed in steady-state using the well-known matrix-analytic methods. Illustrative numerical examples to bring out the qualitative nature of the model under study are presented.
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Chakravarthy, Srinivas R., "A multi-server queueing model with server consultations" (2014). Industrial & Manufacturing Engineering Publications. 61.