### International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

###### Tripod Turnstile Machines Performance Analysis for the System Safety and Security without Considering Simultaneous Failures using Reliability Approach

Pardeep Kumar
Department of Mathematics, Faculty of Science, Lovely Professional University, Phagwara, Punjab, India.

Amit Kumar
Department of Mathematics, Faculty of Science, Lovely Professional University, Phagwara, Punjab, India.

;
Accepted on August 23, 2020

Abstract

As the crime is increasing day by day around the world. To stop the crime many security gadgets and machines have been developed by various security agencies. The tripod turnstile machine also helps in stopping the crime and restricting the entry of unauthorized person on the premises. In this paper, the aim is to analyze the reliability measures of the two tripod turnstile machines which work in a parallel configuration. In the case of non-functionality of the machine, unauthorized persons may enter into the premises. Due to security and safety reason, organizations install these machines. Hence these machines must be highly reliable in the operation to avoid any unwanted event. In this paper, for the considered system, the transition state diagram has been drawn with the help of the Markov model. The Chapman-Kolmogorov differential equations are developed from the transition state diagram and solved using Laplace transformation. The failure and repair rates are assumed to be constant and follow negative exponential distribution. The system upstate and downstate probabilities are determined. The explicit expression of the system Availability, Reliability and MTTF are also obtained. The sensitivity analysis is also performed to determine which machine affects the system reliability the most.

Keywords- Tripod turnstile machine, Markov model, Laplace transformation, MTTF, Reliability, Availability.

Citation

Kumar, P., & Kumar, A. (2021). Tripod Turnstile Machines Performance Analysis for the System Safety and Security without Considering Simultaneous Failures using Reliability Approach. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 383-395. https://doi.org/10.33889/IJMEMS.2021.6.1.024.

Conflict of Interest

The authors declared that there is no conflict of interest.

Acknowledgements

The authors are highly thankful to “HONESTY AUTOMATION PVT. LTD” for providing support to carry out this research work. Also, authors are very thankful to the editor and reviewers for their valuable suggestion for the improvement of the paper.

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