Reliability allocation and optimisation by using Kuhn-Tucker and geometric programming for series-parallel system
by Saad Abbas Abed; Ahmed Hussein Ali; Omar Abdulwahabe Mohamad; Mohammad Aljanabi
International Journal of Computer Aided Engineering and Technology (IJCAET), Vol. 16, No. 4, 2022

Abstract: In this paper, two models are proposed to maximise the lifetime stochastically of the series-parallel system by properly allocating reliabilities for each component of the system mentioned above. The optimisation problem of reliability system was also used to calculate the best values for the reliability allocated to each system component and thus calculate the total cost. The results include: 1) a critical point in series-parallel system is a fixed point; 2) the first cost Tillman function is Euclidean convex; 3) the optimisation problem, such a cost function and constraints functions (active, inactive), associated with polynomial of reliability, leads us to adopt a geometric programming method to allocate reliability and calculate total cost.

Online publication date: Wed, 06-Jul-2022

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