Title: ANFIS computing and analysis of cost optimisation by upgrading service rate with N-policy, server vacation in M/M/1/∞ model

Authors: Anamika Jain; Komal Shekhawat; Bhoopendra Pachauri

Addresses: Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, 303007, India ' Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, 303007, India ' Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, 303007, India

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.

Keywords: optimisation; balking; working vacation; matrix-geometric method; N-policy.

DOI: 10.1504/IJMOR.2022.124140

International Journal of Mathematics in Operational Research, 2022 Vol.22 No.3, pp.403 - 421

Received: 07 Mar 2021
Accepted: 30 May 2021
Published online: 14 Jul 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article