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

Authors: Nitin Mahla; Alka Choudhary; Dinesh C. Sharma

Addresses: Department of Mathematics, Central University of Rajasthan, Ajmer, 305817, India ' Department of Mathematics, Central University of Rajasthan, Ajmer, 305817, India ' Department of Mathematics, Central University of Rajasthan, Ajmer, 305817, India

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.

DOI: 10.1504/IJMOR.2023.134471

International Journal of Mathematics in Operational Research, 2023 Vol.26 No.2, pp.231 - 249

Received: 01 Aug 2022
Accepted: 20 Aug 2022
Published online: 24 Oct 2023 *

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