NSGA-II Based Analysis of Fuzzy Multi-objective Reliability–Redundancy Allocation Problem Using Various Membership Functions

INAE Letters ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 191-206 ◽  
Author(s):  
Hemant Kumar ◽  
Awadh Pratap Singh ◽  
Shiv Prasad Yadav
Keyword(s):  
Allocation Problem ◽  
Membership Functions ◽  
Nsga Ii ◽  
Redundancy Allocation Problem ◽  
Redundancy Allocation ◽  
Multi Objective

Application of the NSGA-II algorithm to a multi-period inventory-redundancy allocation problem in a series-parallel system

2017 ◽  
Vol 160 ◽  
pp. 1-10 ◽  
Author(s):  
Najmeh Alikar ◽  
Seyed Mohsen Mousavi ◽  
Raja Ariffin Raja Ghazilla ◽  
Madjid Tavana ◽  
Ezutah Udoncy Olugu
Keyword(s):  
Parallel System ◽  
Allocation Problem ◽  
Nsga Ii ◽  
Redundancy Allocation Problem ◽  
Redundancy Allocation

A robust reliability redundancy allocation problem under abnormal external failures guided by a new importance measure

2017 ◽  
Vol 231 (2) ◽  
pp. 180-199 ◽  
Author(s):  
Guozhen Xiong ◽  
Chi Zhang ◽  
Fei Zhou
Keyword(s):  
Allocation Problem ◽  
Importance Measure ◽  
Optimization Approach ◽  
Engineering Systems ◽  
Reliability Engineering ◽  
Worst Case ◽  
Redundancy Allocation Problem ◽  
Redundancy Allocation ◽  
Multi Objective ◽  
Probabilistic Solution

Besides inherent failures under normal conditions studied by classical reliability engineering, systems may also be subject to abnormal external failures, whose probabilities are hard, if not impossible, to predict, such as failures caused by natural disasters (e.g. earthquakes, floods, and tornados) and malicious attacks. Thus, abnormal external failures need to be considered when designing a system, as in reliability redundancy allocation problem. To deal with the uncertainty of abnormal external failures and based on robust optimization, this research proposes a multi-objective optimization approach that can simultaneously maximize system reliability under both normal and the worst cases of abnormal external failures for redundancy allocation problem. Since the amount of abnormal external failures is usually unknown, the worst case for each possible amount of abnormal external failures needs to be identified first. For this purpose, a new importance measure that can quantify the importance of a subset of system components with arbitrary cardinality is proposed. We also revise a widely used multi-objective evolutionary algorithm, multi-objective probabilistic solution discovery algorithm, to deal with the complexity of redundancy allocation problem. The merits of the revised algorithm are demonstrated by extensive experiments.

A robust loss function approach for a multi-objective redundancy allocation problem

2016 ◽  
Vol 40 (1) ◽  
pp. 635-645 ◽  
Author(s):  
Ali Salmasnia ◽  
Ehsan Ameri ◽  
Seyed Taghi Akhavan Niaki
Keyword(s):  
Loss Function ◽  
Allocation Problem ◽  
Function Approach ◽  
Redundancy Allocation Problem ◽  
Redundancy Allocation ◽  
Multi Objective
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