Exact reliability formula for precision agriculture through copula repair approach

Abstract

The Gumbel-Hougaard family’s invention of copula distribution paved the way for new research, and it has been widely applied in recent years to a range of series–parallel multi-state complicated engineering systems, but not to agricultural applications. Recent study undertaken by a variety of organizations reveals that food grain production is not keeping up with population growth. Many technocrats use wireless sensing networks to collect and analyze data to increase production; nevertheless, by focusing on general repair, they fall short of their goal. To avoid this problem and restore the broken system as soon as achievable, in this paper we have developed a reliability formula in a way that numerical solutions can be obtained systematically in a reasonable computational time for precision agriculture that makes use of the copula distribution. This paper aims to analyze the various reliability measures such as availability, reliability, mean time to failure, and cost analysis of a wireless computer network for precision agriculture made up of three subsystems in series configuration. Hazard rates of all the units are assumed to be constant and follow exponential distribution, while repair supports general distribution and copula distribution. The system is analyzed by supplementary variable technique, Laplace transformation and Gumbel-Hougaard copula distribution. This paper we have used a significant feature of copula distribution under catastrophic failure by assuming two different forms of failure between neighboring transitions from which one can check the behavioral analysis of the designed system. This research may be beneficial for precision agriculture whereas a k-out-of-n-type configuration exists.