Study of two heterogeneous servers with service feedback, vacation and a particular service interruption

Nitin Mahla, Alka Choudhary and Dinesh C. Sharma

International Journal of Mathematics in Operational Research, 2023, vol. 26, issue 2, 231-249

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.

Keywords: M / M /2 queueing model; feedback; service interruption; maintenance. (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:26:y:2023:i:2:p:231-249

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