Reliability Analysis of a Mechanical System with 3 Out of 5 Subsystems
Using Excel Solver
Abstract
Optimization of a redundancy allocation problem designed specifically
for systems with k-out-of-n subsystems has been the motive of this work.
The main motive is to select the components and redundancy levels to
maximize system reliability given system-level constraints. With cost
and weight as constraints as 3 out of 5 subsystems has been optimized in
the present study for maximizing the reliability of a mechanical system.
Component reliabilities in every stage are treated as unknowns in this
model. Evolutionary and Generalised Reduced Gradient method (GRG
nonlinear Solver) in Excel has been applied here to determine the
component reliabilities, stage reliabilities to maximize system
reliability. A comparative study has been done using the methodology in
the present paper with the methods already used by the other authors for
the similar systems.