ABSTRACT
This chapter introduces three aspects of optimisation by using algebraic inequalities: minimising the deviation of reliability-critical parameters from their required values, maximising the system reliability and minimising the risk of a faulty assembly.
Minimising the deviation of reliability-critical parameters from their required values has been done by using methods from constrained optimisation. This optimisation aspect has been illustrated by minimising the deviation of the required volume of cylindrical and rectangular workpieces from the required volume and by minimising the deviation of the resonant frequency from the required level for parallel resonant LC-circuits.
The second optimisation aspect has been illustrated by maximising the reliability of parallel-series systems by using the rearrangement inequality. The rearrangement inequality has also been used for optimal condition monitoring and for minimising the risk of a faulty assembly.
