Study of reliability measures of a local area network via copula linguistics approach

Purpose – The purpose of this paper is to find the reliability measures of Linux operating system connected in local area network (LAN). Design/methodology/approach – The system has two different topologies, i.e. star topology (subsystem-1) and bus topology (subsystem-2), are placed at two different places, and connected to a server through a hub. Both the topologies have n clients. The system has partial failure and complete failure. The partial failure is of two type’s namely minor partial and major partial. The minor partial failure degrades the system whereas the major partial failure brings the system to a break down mode. The system can completely fail due to failure of server hacking and blocking. Findings – By using supplementary variable technique and Laplace transformation, by taking different types of failure and two types of repairs the availability, non-availability, mean time to failure and cost analysis (expected profit) of the design system have been obtained. Originality/value – In this research, a mathematical model of Linux operating system has been discussed from which one can check the behavioral analysis of the designed system.