Study of two heterogeneous servers with service feedback, vacation and a particular service interruption Online publication date: Tue, 24-Oct-2023
by Nitin Mahla; Alka Choudhary; Dinesh C. Sharma
International Journal of Mathematics in Operational Research (IJMOR), Vol. 26, No. 2, 2023
Abstract: Due to the huge impact on real-life application, queueing models with different types of servers have been studied widely. This paper-based on M/M/2 queues presents the study of two heterogeneous servers with particular service interruption, vacation and maintenance. Feedback facility is provided to the customers which are served by a particular server and this server will be interrupted by reactive maintenance after getting a threshold number of negative feedback. Another server will work simultaneously and no feedback will be recorded for this server. To derive the steady-state probabilities, a detailed computational procedure is followed using the matrix geometric method, and then performance measures are calculated. The economic analysis of the model is done. This model is compared with the M/M/1 model in which the server is interrupted by reactive maintenance after getting threshold number of negative feedback.
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