Sonali Thakur
Department of Mathematics & Statistics, Manipal University Jaipur, Rajasthan, 303007, India.

Anamika Jain
Department of Mathematics & Statistics, Manipal University Jaipur, Rajasthan, 303007, India.

Madhu Jain
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand-247667, India.

DOI https://doi.org/10.33889/IJMEMS.2021.6.3.053

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Abstract

In this paper, we investigate the M/M/1/N single server finite capacity Markovian queueing model with operational vacation and impatient behavior of the customers. To recover the server broken down during a busy period, M-threshold recovery policy along with set-up is used. Using the inflow and outflow transition rates, the state probabilities equations for different system states are constructed. For computing the stationary queue length, matrix-geometric analytic is performed. The sensitivity analysis is carried for the validation of the system performance measures. To examine the scope of the adaptive neuro-fuzzy inference system (ANFIS), computational results are presented using matric-geometric and ANFIS approaches.

Keywords- M/M/1/N, Operational vacation, Impatient customers, Matrix-geometric method, ANFIS.

Citation

Thakur, S., Jain, A., & Jain, M. (2021). ANFIS and Cost Optimization for Markovian Queue with Operational Vacation. International Journal of Mathematical, Engineering and Management Sciences, 6(3), 894-910. https://doi.org/10.33889/IJMEMS.2021.6.3.053.