Graph Theory Based Reliability Assessment Software Program for Complex Systems

Abdrabbi Bourezg () and Hamid Bentarzi ()
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Abdrabbi Bourezg: Higher Colleges of Technology
Hamid Bentarzi: IGEE, University M’hamed Bougara Boumerdes

A chapter in Advances in Reliability Analysis and its Applications, 2020, pp 235-249 from Springer

Abstract: Abstract Reliability is a conceptual term that means endurance, dependability, and good performance. However, in system engineering, it is more than a conceptual term; it can be measured and evaluated. Reliability means the ability of a system to perform the required task under the normal conditions during its age. A complexity in system reliability may be commonly arisen due to the interconnection of various elements in the form of a network that can be represented by graphs. The graph theory and computer programs are essential tools for analyzing large and complex systems. This chapter presents how a complexity of system reliability can be reduced through the use of computer programs based on a graph theory. The software program has been developed for reliability assessment of complex systems such as aircraft. It can handle any statistical distributions. It uses the inclusion-exclusion method for finding the minimal paths for directed acyclic graph using reliability block diagram (RBD). A system may be considered to operate if there exists a set of functioning components from source to target. So, at least one minimal path must function for the system operation. The probability of the union of all minimal paths can be used to find the reliability of the whole system.

Keywords: Graph theory; Reliability; Failure distribution function; Reliability block diagram (RBD) (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-030-31375-3_6

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DOI: 10.1007/978-3-030-31375-3_6

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