Performance assessment of Linux operating system employing copula distribution approach
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ORIGINAL RESEARCH
Performance assessment of Linux operating system employing copula distribution approach V. V. Singh1 · D. K. Rawal2 · Pratap Kumar3 Received: 11 November 2019 / Accepted: 15 May 2020 © Society for Reliability and Safety (SRESA) 2020
Abstract 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. Keywords Star topology · Bus topology · Linux operating system · Gumbel–Hougaard family copula · Supplementary variable
1 Introduction Data communication has become an essential part of human life which we often take for granted, yet they provide an infrastructure for that one can do in the twentieth century. Data communication plays a crucial role in a successful business in the market place, particularly to know the trends are increasing or decreasing toward globalization. Data communication refers to the transmission/exchange of the data between the source and receiver using a computer network. Data communication may be categorized as a Local area network,
* V. V. Singh [email protected] D. K. Rawal [email protected] Pratap Kumar [email protected] 1
Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria
2
Department of Mathematics, HIMT, Greater Noida, India
3
Department of Applied Sciences, GCET, Greater Noida, UP, India
Metropolitan area, and Wide area network. The local area network comprises multiple computers that are located near each other and linked into the network that allows the users to share files and peripheral devices fax, printers, and storage devices. The network topology is the technology for arranging the various computer elements such as links and nodes. Various types of topologies (point- to- point topology, Bus topology, Star topology, Ring topology, Tree topology, Mesh topology, and Hybrid topology) have existed that are suited to the specific task with own purposes. Among the above, Star and Bus topology is most straightforward for usual find in a computer laboratory, which comes in the category of local area netw
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