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Graph Theory Based Reliability Assessment Software Program for Complex Systems

In: Advances in Reliability Analysis and its Applications

Author

Listed:
  • Abdrabbi Bourezg

    (Higher Colleges of Technology)

  • Hamid Bentarzi

    (IGEE, University M’hamed Bougara Boumerdes)

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.

Suggested Citation

  • Abdrabbi Bourezg & Hamid Bentarzi, 2020. "Graph Theory Based Reliability Assessment Software Program for Complex Systems," Springer Series in Reliability Engineering, in: Mangey Ram & Hoang Pham (ed.), Advances in Reliability Analysis and its Applications, pages 235-249, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-31375-3_6
    DOI: 10.1007/978-3-030-31375-3_6
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