Performance assessment of Linux operating system employing copula distribution approach

This paper focused on studying the Linux operating system connected to a LAN (local area network). The STAR topology (subsystem-1) and BUS topology (subsystem-2) are taken into account, which is placed at two different locations and connected to a server through a hub. Under consideration, both topologies BUS topology and the STAR topology, each has n clients. The system has two types of failures, i.e., partial failure and complete failure. Partial failure has categorized as minor and major partial failure. It expected that the minor partial failure degrades the sub-systems, and the major partial failure brings the subsystem to break down mode. The system may fail due to the failure of the server, such as hacking and blocking. The system has analyzed by changing to none-Markov model to the Markov model with the implication of the supplementary variable technique and Laplace transform. The various measures of reliability, such as the availability of the system, the reliability of the system, MTTF, profit function for different parametric values, have evaluated.