ANFIS computing and analysis of cost optimisation by upgrading service rate with N-policy, server vacation in M/M/1/∞ model Online publication date: Thu, 14-Jul-2022
by Anamika Jain; Komal Shekhawat; Bhoopendra Pachauri
International Journal of Mathematics in Operational Research (IJMOR), Vol. 22, No. 3, 2022
Abstract: This study investigates an M/M/1/∞ model that emphasises the effect of various system parameters on the cost factor, with respect to upgraded service rates when the system follows N-policy and server vacation. Most often, the reason for customer dissatisfaction is the annoyingly protracted wait for the service. Therefore, given the customer's total satisfaction with the service, an upgrading in service rates is required. As a result, this study investigates the effect of different parameters on cost factors by considering the upgraded service rates, which help in better decision making. The well-known QBD process of the Markov chain is analysed using a matrix-geometric approach, and the steady-state probabilities are also observed. The system will continue in a working vacation state until the N threshold value is applied, as it follows N-policy. The adaptive neuro-fuzzy inference system (ANFIS) is utilised to approximate the nonlinear function.
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