Indian Journal of Industrial and Applied Mathematics
  • Year: 2026
  • Volume: 16
  • Issue: 1and2

The Role of K-Out-of-N Systems in Enhancing Machining System Reliability

  • Author:
  • Ravindra Pratap Singh1,*, Rachna Saraswat2,**, Rajesh Johari3,***, Devendra Kumar4,****
  • Total Page Count: 14
  • Page Number: 145 to 158

1Assistant Professor, Department of Mathematics, Agra College, Agra, Uttar Pradesh, India

2Research Scholar, Department of Mathematics, Agra College, Agra, Uttar Pradesh, India

3Professor, Department of Mathematics, Agra College, Agra, Uttar Pradesh, India

4Lecturer, Department of Supportive Requirements, Sciences and Mathematics Unit, University of Technology and Applied Sciences-Shinas, Al Batinah, Oman

*(Corresponding author) email id: drravindrapratapsingh@gmail.com

**saraswatrachna51@gmail.com

***raj.johari07@gmail.com

****devendra.kumar@utas.edu.om

Abstract

Reliability is one of the key parameters in machining systems, as it has direct implications for productivity. However, the problem arises when there is the possibility for unexpected machine stoppage. Hence, the reliability technique that can be used to improve the reliability of machining systems is the K-out-of-N systems, also known as the redundancy technique, in which the system is operational provided that at least K components out of N components are functioning. Based on the theory related to reliability, the impact of various configurations in terms of reliability can be determined. From the results obtained, the selection of the parameters K and N can remarkably improve the reliability. Furthermore, the difference in single, multiple, and prioritized units and the repair technique in terms of availability and mean time to failure is also evaluated. From the results, the K-out-of-N system not only improves the reliability of the machining systems but also allows greater flexibility in the maintenance schedule. The technique, therefore, is well-supported, especially in the context of the manufacturing industry.

Keywords

K-out-of-N systems, Reliability of machining system, Availability of the system