Models in design for reliability optimisation

Abstract

This paper presents a state of the art review of the vibrant and fast growing field of reliability optimisation in design as it was in the early 1980s, when the field had started to gain attention, to date; in terms of research and development of theories and applications. The field is classified into the pertinent existing reliability optimisation strategies and the types of optimisation models employed. The solution methods used are also discussed. The models are critically reviewed and gaps needing attention noted. Particularly noted was the dominance of redundancy allocation optimisation over other strategies such as reliability allocation optimisation which virtues have not been fully explored. Attention is drawn also to the scarcity of multi-objective optimisation models in the literature, even though typically real life reliability optimisation problems are of that nature. The discussions are concluded by drawing attention to potential model formulations of the multiobjective type.

Preventive maintenance optimization in hybrid wind gas power system using Cuckoo search algorithm

“…The time for possible PM actions Are spaced intervals of = 1.5 month. The problem is to guarantee a PM plan which provide the system work during its lifetime with a performance not less than  0 [35]; [36]; [37] if the reliability not less than R 0 and the age reduction is the same of all units =0.56 In this paper we formulated the problem of imperfect maintenance optimization for wind gas power system generation. In this work we focused on selecting the optimal sequence of intervals to perform PM actions to improve the availability.…”

Simplification of inclusion–exclusion on intersections of unions with application to network systems reliability

“…where we use (14) to obtain this last inequality. Finally, by using the induction hypothesis for m = k − n:…”

“…And because (k − |A 1 |) − (n − 1) < m + 1 and k − n < m + 1, we can use the induction hypothesis on both sums and we use (14) to obtain that…”

“…We provide an example for the lower bound in Appendix A. Therefore, in practice, optimization models that involve reliability are usually either solved through heuristics or series-parallel systems are assumed ( [3], [7], [14]). In this paper, we show how to calculate the reliability of a whole network system in which components are not necessarily independent in a way that requires considerably fewer calculations (and, thus, it is much cheaper computationally) than the direct use of the probability inclusion-exclusion principle.…”

Preventive maintenance optimization in hybrid solar gas power system using gravitational search algorithm

“…Let consider a wind power generation system connected in parallel arrangement as fig 4. The system contains one solar station and two gas power units with different performance and reliability [32]; [33]; [34]; [35]; [36]. The reliability of each element is defined by Weibull function: [37]; [38]; [39].…”