Inheritable genetic algorithm for biobjective 0/1 combinatorial optimization problems and its applications

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Shinn-Ying HoMeng-Hsun Huang

Abstract

In this paper, we formulate a special type of multiobjective optimization problems, named biobjective 0/1 combinatorial optimization problem BOCOP, and propose an inheritable genetic algorithm IGA with orthogonal array crossover (OAX) to efficiently find a complete set of nondominated solutions to BOCOP. BOCOP with n binary variables has two incommensurable and often competing objectives: minimizing the sum r of values of all binary variables and optimizing the system performance. BOCOP is NP-hard having a finite number C(n, r) of feasible solutions for a limited number r. The merits of IGA are threefold as follows: 1) OAX with the systematic reasoning ability based on orthogonal experimental design can efficiently explore the search space of C(n, r); 2) IGA can efficiently search the space of C(n, r+/-1) by inheriting a good solution in the space of C(n, r); and 3) The single-objective IGA can economically obtain a complete set of high-quality nondominated solutions in a single run. Two applications of BOCOP are used to illustrate the effectiveness of the proposed algorithm: polygonal approximation problem (PAP) and the problem of editing a minimum reference set for nearest neighbor classification (MRSP). It is shown empirical...Continue Reading

References

Aug 5, 1998·Current Opinion in Genetics & Development·R M Winter
Jun 8, 2000·Evolutionary Computation·E ZitzlerL Thiele

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Citations

Jul 16, 2008·BMC Bioinformatics·Chun-Wei Tung, Shinn-Ying Ho
Jun 24, 2014·TheScientificWorldJournal·Wen-Lin HuangShinn-Ying Ho
Nov 30, 2013·Computational and Mathematical Methods in Medicine·Ming YangLing Xu
Dec 19, 2015·BMC Medical Genomics·Wen-Lin HuangShinn-Ying Ho
Sep 25, 2018·Current Drug Targets·Lidong Wang, Ruijun Zhang
Nov 2, 2018·Scientific Reports·Srinivasulu Yerukala Sathipati, Shinn-Ying Ho
Sep 4, 2020·Scientific Reports·Srinivasulu Yerukala Sathipati, Shinn-Ying Ho
Jun 18, 2011·Expert Review of Proteomics·Pufeng DuXin Wang
Jun 20, 2020·Journal of Computer-aided Molecular Design·Phasit CharoenkwanWatshara Shoombuatong
Apr 16, 2021·Journal of Proteome Research·Srinivasulu Yerukala Sathipati, Shinn-Ying Ho
Jul 2, 2021·Frontiers in Genetics·Yenching LinShinn-Ying Ho
Apr 29, 2021·Aging·Srinivasulu Yerukala Sathipati, Shinn-Ying Ho

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