Reliability Assessment and Profit Analysis of Automated Teller Machine System Under Copular Repair Policy

The evaluation of reliability is a critical factor that ensures reliable system operation, improving quality of product, and cutting production losses. The structure for analyzing Automated Teller Machines (ATMs) failures is presented in this chapter, which also allows for the identification of the most appropriate methods for removing them. It is also essential to have sufficient information on failure and repair in order to assess system availability and reliability and calculate exact performance rates. The model under consideration is made up of three distinct subsystems, namely subsystems A, B, and C. All the components designed for this system have access to exponential failure and repair. Failure times are thought to have an exponential distribution, whereas repair times are thought to have a General distribution and Gumbel–Hougaard family Copula. The transition diagram’s set of differential equations was solved using regenerative point techniques and Laplace transforms. For various assumed parameter values, different reliability characteristics such as availability, reliability, MTTF, sensitivity, and cost benefit are derived and validated to determine how the model under consideration affects them. A number of cases are used to demonstrate the analysis in depth. Tables are used to present computed results and while figures depicts the computed results. According to the computed results, Copula is a superior repair technique for improving the efficiency of repairable systems. Furthermore, the findings of the study are crucial for the banking sector’s development.