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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9855
Title: A new approach to solve a general system of linear inequalities based on NSGA-II
Authors: Goyal R.
Yadav, Shiv Prasad
Kishor A.
Published in: International Journal of Systems Assurance Engineering and Management
Abstract: A set of inequalities are solved by graphical method or simplex method. But these methods have some drawbacks. Graphical method is conveniently applicable to a system containing two variables; while simplex method gives one solution at a time. So, in this work, a new approach to solve a general system of linear inequalities based on non-dominating sorting genetic algorithm-II (NSGA-II) is given. A brief description of NSGA-II with its use for multi-objective problems is given. We have also shown that this approach gives multiple solutions (Paretooptimal fronts) in one single simulation run. © 2012 The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.
Citation: International Journal of Systems Assurance Engineering and Management (2012), 3(1): 17-23
URI: https://doi.org/10.1007/s13198-012-0087-8
http://repository.iitr.ac.in/handle/123456789/9855
Issue Date: 2012
Keywords: Crowding distance
Multi-objective optimization
Pareto-optimal fronts
Rank
ISSN: 9756809
Author Scopus IDs: 57208828342
57209022284
57211247761
Author Affiliations: Goyal, R., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Yadav, S.P., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Kishor, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Corresponding Author: Goyal, R.; Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India; email: rajni.aggarwal@yahoo.co.in
Appears in Collections:Journal Publications [MA]

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