Rachita Sethi
Department of Mathematics, G. D. Goenka University, Gurugram-122103, India.

Amita Bhagat
Department of Mathematics, Jaypee Institute of Information Technology, Noida- 201309, India.

Deepika Garg
Department of Mathematics, G. D. Goenka University, Gurugram-122103, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.6-120

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Abstract

This study is concerned with the transient state analysis of M/M/1 machine repairable system consisting of M operating units. F-policy is quite useful to avoid the overloading of failed machines that arrive for repair in the system. The failed machines are repaired by a server that is susceptible to failure and follows the threshold recovery while being repaired. The server leaves for a vacation if there are no machines waiting in the system for the repair. Runge-Kutta method is implemented to solve the governing equations and evaluate the system's state probabilities. Cost function is also designed to determine the system’s minimum cost. In addition, the numerical outcomes acquired by the Runge-Kutta method are compared with the results generated by adaptive neuro-fuzzy inference system (ANFIS).

Keywords- Machine-repair, Start-up time, Threshold recovery, Cost analysis, ANFIS.

Citation

Sethi, R., Bhagat, A., & Garg, D. (2019). ANFIS based Machine Repair Model with Control Policies and Working Vacation. International Journal of Mathematical, Engineering and Management Sciences, 4(6), 1522-1533. https://dx.doi.org/10.33889/IJMEMS.2019.4.6-120.