Methodical Regulations for Identifying the Set of Pareto Optimal Alternatives for Autonomous Power-Supply Systems

The use of Pareto optimization for autonomous power supply systems is proposed as a method of distinguishing a set of dominant solutions. The fields of application of such approach are considered. A mathematical treatment of a search for the set of alternatives based on the preference and ordering r...

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Bibliographic Details
Published in:Russian electrical engineering 2019-03, Vol.90 (3), p.209-211
Main Authors: Khorolsky, V. Ya, Ershov, A. B., Efanov, A. V., Yastrebov, S. S.
Format: Article
Language:English
Subjects:
Algorithms
Engineering
Machines
Manufacturing
Mathematical analysis
Pareto optimization
Power supplies
Predicate calculus
Processes
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Summary:The use of Pareto optimization for autonomous power supply systems is proposed as a method of distinguishing a set of dominant solutions. The fields of application of such approach are considered. A mathematical treatment of a search for the set of alternatives based on the preference and ordering relation is presented. Processing of information is based on the known rules of the logical induction, and the logical formulas act as a finished product. The predicate calculus is recommended applying as a mathematical base. The concept of one system dominating over another is defined on the basis of the binary relation approach. An algorithm for obtaining a set of dominant solutions is developed. The drawbacks inherent in this approach are noted.
ISSN:1068-3712
1934-8010
DOI:10.3103/S106837121903009X