Particle Swarm Optimization for Optimal Reliability Allocation with Discrete Cost-reliability Data for Components

Abstract

In this work, the reliability function of a complex system is calculated, together
with the ideal reliability distribution among the system's components that will be
constructed. The majority of research to date has adopted the exponentially
growing closed functions to associate cost and reliability, despite the fact that it is
commonly known that component cost is an increasing function of their
reliability. In actuality, these functions are sometimes ill-defined or challenging
to construct, hence it is frequently logical to discuss cost-reliability connections
between discrete data sets. We take into account scenarios where each component
is offered in a range of reliability levels at varying pricing. A non-linear integer
program is the consequence of a design optimization challenge. We introduce
particle swarm optimization (PSO) to calculate the system reliability assignment
for each system component as well as to compute the overall system reliability
since each system configuration has an equivalent representation as either a serial
connection to parallel subsystems or a parallel connection to serial subsystems.
Each system component's cost was determined using three cost functions.