Title: Neuro-fuzzy computing and optimisation results for batch discrete time retrial queue

Authors: Shweta Upadhyaya; Geetika Malik; Richa Sharma

Addresses: Amity Institute of Applied Sciences, Amity University, Noida 201313, India ' Amity Institute of Applied Sciences, Amity University, Noida 201313, India ' Department of Mathematics, JK Lakshmipat University, Jaipur 302026, India

Abstract: The present investigation involves the application of discrete time bulk entrance recurrent queuing model on asynchronous transfer mode (ATM) technology. This analysis includes the concept of Bernoulli feedback along with priority and impatient customers wherein server may undergo starting failure. Once a service is accomplished, the service provider/server either waits for succeeding customer or leave for a vacation of random time span. The service period, vacation period and retrial period all are presumed to follow general distribution. Firstly, we calculate necessary performance indices using generating function method. Thereafter, we approximate all calculated results with the help of adaptive neuro-fuzzy interface system (ANFIS). Furthermore, we discuss how this model can solve issues related to traffic management and control in ATM networks. Lastly, to make the system more economical, we have computationally analysed the model via particle swarm optimisation (PSO) and genetic algorithm (GA) techniques.

Keywords: batch arrival; Bernoulli vacation; starting failure; ATM network; adaptive neuro-fuzzy interface system; ANFIS; cost optimisation.

DOI: 10.1504/IJMOR.2022.126049

International Journal of Mathematics in Operational Research, 2022 Vol.23 No.1, pp.119 - 146

Received: 27 May 2021
Accepted: 07 Jul 2021
Published online: 10 Oct 2022 *

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