Title: Reliability allocation and optimisation by using Kuhn-Tucker and geometric programming for series-parallel system

Authors: Saad Abbas Abed; Ahmed Hussein Ali; Omar Abdulwahabe Mohamad; Mohammad Aljanabi

Addresses: Department of Computer, College of Education, Al-Iraqia University, Baghdad, Iraq ' Department of Computer, College of Education, Al-Iraqia University, Baghdad, Iraq ' Department of Computer, College of Education, Al-Iraqia University, Baghdad, Iraq ' Department of Computer, College of Education, Al-Iraqia University, Baghdad, Iraq

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.

Keywords: reliability optimisation; reliability allocation; allocation; optimisation.

DOI: 10.1504/IJCAET.2022.10048161

International Journal of Computer Aided Engineering and Technology, 2022 Vol.16 No.4, pp.488 - 496

Received: 24 Oct 2019
Accepted: 01 Nov 2019

Published online: 06 Jul 2022 *

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