A novel multi-objective optimization algorithm based on Lightning Attachment Procedure Optimization algorithm

In this paper, a novel multi-objective optimization method based on a recently introduced algorithm known as Lightning Attachment Procedure Optimization (LAPO) is presented. The proposed algorithm is based on non-dominated sorting approach where the best solutions chosen from the Pareto Optimal Fron...

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Published in:Applied soft computing Vol. 75; pp. 404 - 427
Main Authors: Foroughi Nematollahi, A., Rahiminejad, A., Vahidi, B.
Format: Journal Article
Language:English
Published: Elsevier B.V 01.02.2019
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ISSN:1568-4946, 1872-9681
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Abstract In this paper, a novel multi-objective optimization method based on a recently introduced algorithm known as Lightning Attachment Procedure Optimization (LAPO) is presented. The proposed algorithm is based on non-dominated sorting approach where the best solutions chosen from the Pareto Optimal Front (POF), based on crowding distance, are stored in a repository matrix called an Archive matrix. The procedure is performed such that the final best solutions are distributed evenly along the optimal PF. Then, the proposed algorithm is tested by some multi-objective optimization functions and some classical engineering problems also. The results are compared to those of four well-known methods and then discussed. The results are compared using 4 criteria which show how to select a POF close to the true POF, how the results are distributed, and how close the final results approximate all the possible outcomes of true POF. It is shown that the proposed method outperforms the other methods with regards to 3 criteria and yields comparable results regarding the last criteria. Superiority of the proposed method in finding the true POF while covering a wide range of possible optimal results is discussed in the results section. Therefore, it is concluded that the proposed method does an excellent job at solving a wide range of multi-objective optimization problems. [Display omitted] •In this paper a novel multi-objective optimization algorithm known as MOLAPO is proposed.•The Archive matrix is used to guarantee finding the best answers during the optimization.•According to the results the proposed method is highly recommended for the complicated multi-objective problems.
AbstractList In this paper, a novel multi-objective optimization method based on a recently introduced algorithm known as Lightning Attachment Procedure Optimization (LAPO) is presented. The proposed algorithm is based on non-dominated sorting approach where the best solutions chosen from the Pareto Optimal Front (POF), based on crowding distance, are stored in a repository matrix called an Archive matrix. The procedure is performed such that the final best solutions are distributed evenly along the optimal PF. Then, the proposed algorithm is tested by some multi-objective optimization functions and some classical engineering problems also. The results are compared to those of four well-known methods and then discussed. The results are compared using 4 criteria which show how to select a POF close to the true POF, how the results are distributed, and how close the final results approximate all the possible outcomes of true POF. It is shown that the proposed method outperforms the other methods with regards to 3 criteria and yields comparable results regarding the last criteria. Superiority of the proposed method in finding the true POF while covering a wide range of possible optimal results is discussed in the results section. Therefore, it is concluded that the proposed method does an excellent job at solving a wide range of multi-objective optimization problems. [Display omitted] •In this paper a novel multi-objective optimization algorithm known as MOLAPO is proposed.•The Archive matrix is used to guarantee finding the best answers during the optimization.•According to the results the proposed method is highly recommended for the complicated multi-objective problems.
Author Rahiminejad, A.
Vahidi, B.
Foroughi Nematollahi, A.
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  surname: Vahidi
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  email: vahidi@aut.ac.ir
  organization: Electrical Engineering Department, Amirkabir University of Technology, Tehran, 1591634311, Iran
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Cites_doi 10.1016/j.asoc.2017.06.033
10.1007/s00158-005-0527-z
10.1287/mnsc.17.4.B141
10.1007/s00158-002-0178-2
10.1007/s10489-016-0825-8
10.1007/s00158-003-0368-6
10.1007/BF00932634
10.1016/j.asoc.2006.03.001
10.1007/s00521-015-2089-3
10.1007/s00170-010-3140-2
10.1007/s00170-008-1558-6
10.1080/03052150210915
10.1016/j.asoc.2009.12.008
10.1109/JSEN.2016.2570281
10.1016/j.energy.2017.01.071
10.1007/s10462-012-9328-0
10.1109/MCI.2006.1597059
10.1016/j.energy.2011.09.027
10.1016/j.robot.2015.02.009
10.1063/1.4966230
10.1137/S1052623497315203
10.3906/elk-1205-80
10.1109/4235.585893
10.1162/evco.1994.2.3.221
10.1016/j.engappai.2012.11.006
10.1016/j.engappai.2010.02.005
10.1016/j.robot.2014.11.010
10.1016/j.ins.2009.12.025
10.1016/j.cie.2007.06.007
10.1016/j.eswa.2015.10.039
10.1016/S0965-9978(00)00110-1
10.1007/s00521-015-1920-1
10.1016/j.ins.2013.02.041
10.1016/j.ins.2014.12.037
10.1016/j.swevo.2011.08.001
10.1063/1.5011156
10.1162/106365600568202
10.1063/1.5043403
10.1016/j.ijepes.2008.04.005
10.1016/j.swevo.2011.03.001
10.1109/TPWRD.2016.2616518
10.1016/j.asoc.2014.10.042
10.1109/TSG.2018.2796034
10.1016/j.amc.2012.03.018
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Keywords Pareto optimal solutions
Lightning Attachment Procedure Optimization
Non-dominated sorting
Benchmark problem
Multi objective optimization method
Meta-heuristic
Evolutionary multi-objective optimization
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References Rahiminejad, Alimardani, Vahidi, Hosseinian (b70) 2014; 22
Amini, Jaddivada, Mishra, Karabasoglu (b72) 2015
Semwal, Mondal, Nandi (b56) 2017; 28
Mirjalili (b66) 2016; 27
Bellman, Zadeh (b10) 1970; 17
Mirjalili, Saremi, Mirjalili, dos S. Coelho (b4) 2016; 47
Coello (b12) 1999; 1
Niknam, rasoul Narimani, Jabbari, Malekpour (b44) 2011; 36
Horn, Nafpliotis, Goldberg (b31) 1994
Mirjalili (b24) 2018
Semwal, Singha, Sharma, Chauhan, Behera (b54) 2016
Babu, Jehan (b38) 2003
Iorio, Li (b41) 2004
Tomsovic, Chow (b11) 1999
Branke, Deb (b25) 2005
Akbari, Hedayatzadeh, Ziarati, Hassanizadeh (b50) 2012; 2
Zitzler, Deb, Thiele (b63) 2000; 8
Mohammadi, Mehrtash, Kargarian (b74) 2018
Fonseca, Fleming (b30) 1993
Madavan (b40) 2002
Zitzler, Thiele (b32) 1998
Moosavi, Vahidi, Askarian Abyaneh, Foroughi Nematollahi (b57) 2017; 9
Li, Pan, Xie (b47) 2012; 218
Goldberg (b29) 1989
Karaboga, Gorkemli, Ozturk, Karaboga (b49) 2014; 42
Omkar, Senthilnath, Khandelwal, Naik, Gopalakrishnan (b48) 2011; 11
Foroughi Nematollahi, Rahiminejad, Vahidi, Askarian, Safaei (b76) 2018; 10
Boussaï, Lepagnot, Siarry (b3) 2013; 237
Zhang, Liu (b9) 2008; 30
Srinivas, Deb (b19) 1994; 2
Bingul (b58) 2007; 7
Niknam, Farsani (b46) 2010; 23
Ngatchou, Zarei, El-Sharkawi (b17) 2005
Yuan, Zhang, Wang, Liang, Yuan, Huang, Lei (b71) 2017; 122
S.M.K. Herris, MOPSO Matlab Code.
Rahimi-Vahed, Dangchi, Rafiei, Salimi (b45) 2009; 41
Zou, Wang, Hei, Chen, Wang (b42) 2013; 26
Mirjalili, Jangir, Saremi (b1) 2017; 46
Parsopoulos, Vrahatis (b36) 2002
Deb, Agrawal, Pratap, Meyarivan (b6) 2000
Marler, Arora (b13) 2004; 26
Coello, Pulido (b67) 2005; 30
S.M.K. Herris, NSGAII Matlab code.
Cai, Qu, Cheng (b27) 2017
Kurpati, Azarm, Wu (b68) 2002; 23
Li, Pan, Gao (b26) 2011; 55
Van Veldhuizen, Lamont (b61) 1998
Kelley (b62) 1999; 10
Hamzeh, Vahidi, Nematollahi (b75) 2018
Wolpert, Macready (b28) 1997; 1
Abbass, Sarker, Newton (b39) 2001
Zhou, Qu, Li, Zhao, Suganthan, Zhang (b7) 2011; 1
Semwal, Nandi (b55) 2016; 16
Sierra, Coello (b33) 2005
Rahimi-Vahed, Mirzaei (b43) 2007; 53
Pan, Tasgetiren, Suganthan, Chua (b51) 2011; 181
Bahrami, Wong, Huang (b73) 2017
Deb (b16) 2001
Coello (b20) 2006; 1
Deb, Sundar (b18) 2006
Forooghi Nematollahi, Dadkhah, Asgari Gashteroodkhani, Vahidi (b77) 2016; 8
Nematollahi, Rahiminejad, Vahidi (b59) 2017
Sadollah, Eskandar, Kim (b65) 2015; 27
Mirjalili (b23) 2018
Semwal, Raj, Nandi (b52) 2015; 65
Branke, Kaußler, Schmeck (b8) 2001; 32
Ray, Liew (b69) 2002; 34
Miettinen, Preface By-Neittaanmaki (b2) 1999
Semwal, Katiyar, Chakraborty, Nandi (b53) 2015; 70
Coello, Lamont, Van Veldhuizen (b14) 2007
Price, Storn, Lampinen (b37) 2006
Stadler (b15) 1979; 29
Nebro, Durillo, Garcia-Nieto, Coello, Luna, Alba (b34) 2009
Mostaghim, Teich (b35) 2003
Mirjalili, Lewis (b64) 2015; 300
Hu, Eberhart (b5) 2002
Rahiminejad, Vahidi (b60) 2017
Boussaï (10.1016/j.asoc.2018.11.032_b3) 2013; 237
Niknam (10.1016/j.asoc.2018.11.032_b44) 2011; 36
Zhang (10.1016/j.asoc.2018.11.032_b9) 2008; 30
Mirjalili (10.1016/j.asoc.2018.11.032_b1) 2017; 46
Stadler (10.1016/j.asoc.2018.11.032_b15) 1979; 29
Semwal (10.1016/j.asoc.2018.11.032_b55) 2016; 16
Zou (10.1016/j.asoc.2018.11.032_b42) 2013; 26
Goldberg (10.1016/j.asoc.2018.11.032_b29) 1989
Wolpert (10.1016/j.asoc.2018.11.032_b28) 1997; 1
Abbass (10.1016/j.asoc.2018.11.032_b39) 2001
Omkar (10.1016/j.asoc.2018.11.032_b48) 2011; 11
Pan (10.1016/j.asoc.2018.11.032_b51) 2011; 181
Deb (10.1016/j.asoc.2018.11.032_b6) 2000
Zitzler (10.1016/j.asoc.2018.11.032_b32) 1998
Mirjalili (10.1016/j.asoc.2018.11.032_b24) 2018
10.1016/j.asoc.2018.11.032_b21
10.1016/j.asoc.2018.11.032_b22
Sadollah (10.1016/j.asoc.2018.11.032_b65) 2015; 27
Babu (10.1016/j.asoc.2018.11.032_b38) 2003
Niknam (10.1016/j.asoc.2018.11.032_b46) 2010; 23
Branke (10.1016/j.asoc.2018.11.032_b25) 2005
Horn (10.1016/j.asoc.2018.11.032_b31) 1994
Hu (10.1016/j.asoc.2018.11.032_b5) 2002
Kurpati (10.1016/j.asoc.2018.11.032_b68) 2002; 23
Rahimi-Vahed (10.1016/j.asoc.2018.11.032_b45) 2009; 41
Rahiminejad (10.1016/j.asoc.2018.11.032_b60) 2017
Ray (10.1016/j.asoc.2018.11.032_b69) 2002; 34
Coello (10.1016/j.asoc.2018.11.032_b67) 2005; 30
Fonseca (10.1016/j.asoc.2018.11.032_b30) 1993
Deb (10.1016/j.asoc.2018.11.032_b16) 2001
Tomsovic (10.1016/j.asoc.2018.11.032_b11) 1999
Mirjalili (10.1016/j.asoc.2018.11.032_b23) 2018
Semwal (10.1016/j.asoc.2018.11.032_b52) 2015; 65
Srinivas (10.1016/j.asoc.2018.11.032_b19) 1994; 2
Van Veldhuizen (10.1016/j.asoc.2018.11.032_b61) 1998
Hamzeh (10.1016/j.asoc.2018.11.032_b75) 2018
Yuan (10.1016/j.asoc.2018.11.032_b71) 2017; 122
Zitzler (10.1016/j.asoc.2018.11.032_b63) 2000; 8
Price (10.1016/j.asoc.2018.11.032_b37) 2006
Nematollahi (10.1016/j.asoc.2018.11.032_b59) 2017
Mostaghim (10.1016/j.asoc.2018.11.032_b35) 2003
Kelley (10.1016/j.asoc.2018.11.032_b62) 1999; 10
Mirjalili (10.1016/j.asoc.2018.11.032_b64) 2015; 300
Bellman (10.1016/j.asoc.2018.11.032_b10) 1970; 17
Amini (10.1016/j.asoc.2018.11.032_b72) 2015
Mirjalili (10.1016/j.asoc.2018.11.032_b4) 2016; 47
Foroughi Nematollahi (10.1016/j.asoc.2018.11.032_b76) 2018; 10
Miettinen (10.1016/j.asoc.2018.11.032_b2) 1999
Coello (10.1016/j.asoc.2018.11.032_b12) 1999; 1
Deb (10.1016/j.asoc.2018.11.032_b18) 2006
Ngatchou (10.1016/j.asoc.2018.11.032_b17) 2005
Rahiminejad (10.1016/j.asoc.2018.11.032_b70) 2014; 22
Rahimi-Vahed (10.1016/j.asoc.2018.11.032_b43) 2007; 53
Coello (10.1016/j.asoc.2018.11.032_b14) 2007
Parsopoulos (10.1016/j.asoc.2018.11.032_b36) 2002
Mohammadi (10.1016/j.asoc.2018.11.032_b74) 2018
Branke (10.1016/j.asoc.2018.11.032_b8) 2001; 32
Bingul (10.1016/j.asoc.2018.11.032_b58) 2007; 7
Marler (10.1016/j.asoc.2018.11.032_b13) 2004; 26
Iorio (10.1016/j.asoc.2018.11.032_b41) 2004
Zhou (10.1016/j.asoc.2018.11.032_b7) 2011; 1
Moosavi (10.1016/j.asoc.2018.11.032_b57) 2017; 9
Forooghi Nematollahi (10.1016/j.asoc.2018.11.032_b77) 2016; 8
Coello (10.1016/j.asoc.2018.11.032_b20) 2006; 1
Cai (10.1016/j.asoc.2018.11.032_b27) 2017
Bahrami (10.1016/j.asoc.2018.11.032_b73) 2017
Nebro (10.1016/j.asoc.2018.11.032_b34) 2009
Akbari (10.1016/j.asoc.2018.11.032_b50) 2012; 2
Semwal (10.1016/j.asoc.2018.11.032_b56) 2017; 28
Semwal (10.1016/j.asoc.2018.11.032_b53) 2015; 70
Mirjalili (10.1016/j.asoc.2018.11.032_b66) 2016; 27
Semwal (10.1016/j.asoc.2018.11.032_b54) 2016
Li (10.1016/j.asoc.2018.11.032_b26) 2011; 55
Sierra (10.1016/j.asoc.2018.11.032_b33) 2005
Madavan (10.1016/j.asoc.2018.11.032_b40) 2002
Li (10.1016/j.asoc.2018.11.032_b47) 2012; 218
Karaboga (10.1016/j.asoc.2018.11.032_b49) 2014; 42
References_xml – year: 2018
  ident: b74
  article-title: Diagonal quadratic approximation for decentralized collaborative TSO+ DSO optimal power flow
  publication-title: IEEE Trans. Smart Grid
– volume: 22
  start-page: 874
  year: 2014
  end-page: 892
  ident: b70
  article-title: Shuffled frog leaping algorithm optimization for AC–DC optimal power flow dispatch
  publication-title: Turkish J. Electr. Eng. Comput. Sci.
– volume: 7
  start-page: 791
  year: 2007
  end-page: 799
  ident: b58
  article-title: Adaptive genetic algorithms applied to dynamic multiobjective problems
  publication-title: Appl. Soft Comput.
– volume: 55
  start-page: 1159
  year: 2011
  end-page: 1169
  ident: b26
  article-title: Pareto-based discrete artificial bee colony algorithm for multi-objective flexible job shop scheduling problems
  publication-title: Int. J. Adv. Manuf. Technol.
– volume: 32
  start-page: 499
  year: 2001
  end-page: 507
  ident: b8
  article-title: Guidance in evolutionary multi-objective optimization
  publication-title: Adv. Eng. Softw.
– volume: 300
  start-page: 158
  year: 2015
  end-page: 192
  ident: b64
  article-title: Novel frameworks for creating robust multi-objective benchmark problems
  publication-title: Inf. Sci. (Ny)
– volume: 10
  start-page: 43312
  year: 2018
  ident: b76
  article-title: A new evolutionary-analytical two-step optimization method for optimal wind turbine allocation considering maximum capacity
  publication-title: J. Renew. Sustain. Energy
– volume: 1
  start-page: 32
  year: 2011
  end-page: 49
  ident: b7
  article-title: Multiobjective evolutionary algorithms: A survey of the state of the art
  publication-title: Swarm Evol. Comput.
– volume: 23
  start-page: 204
  year: 2002
  end-page: 213
  ident: b68
  article-title: Constraint handling improvements for multiobjective genetic algorithms
  publication-title: Struct. Multidiscip. Optim.
– volume: 42
  start-page: 21
  year: 2014
  end-page: 57
  ident: b49
  article-title: A comprehensive survey: artificial bee colony (ABC) algorithm and applications
  publication-title: Artif. Intell. Rev.
– volume: 70
  start-page: 181
  year: 2015
  end-page: 190
  ident: b53
  article-title: Biologically-inspired push recovery capable bipedal locomotion modeling through hybrid automata
  publication-title: Robot. Auton. Syst.
– volume: 8
  start-page: 55301
  year: 2016
  ident: b77
  article-title: Optimal sizing and siting of dgs for loss reduction using an iterative-analytical method
  publication-title: J. Renew. Sustain. Energy
– start-page: 84
  year: 2005
  end-page: 91
  ident: b17
  article-title: Pareto multi objective optimization
  publication-title: Intell. Syst. Appl. to Power Syst. 2005 Proc. 13th Int. Conf.
– volume: 10
  start-page: 43
  year: 1999
  end-page: 55
  ident: b62
  article-title: Detection and remediation of stagnation in the Nelder–Mead algorithm using a sufficient decrease condition
  publication-title: SIAM J. Optim.
– volume: 17
  start-page: B
  year: 1970
  end-page: 141
  ident: b10
  article-title: Decision-making in a fuzzy environment
  publication-title: Manage. Sci.
– year: 1999
  ident: b2
  article-title: Evolutionary Algorithms in Engineering and Computer Science: Recent Advances in Genetic Algorithms, Evolution Strategies, Evolutionary Programming
– year: 2001
  ident: b16
  article-title: Multi-Objective Optimization Using Evolutionary Algorithms
– volume: 1
  start-page: 28
  year: 2006
  end-page: 36
  ident: b20
  article-title: Evolutionary multi-objective optimization: a historical view of the field
  publication-title: IEEE Comput. Intell. Mag.
– volume: 30
  start-page: 525
  year: 2008
  end-page: 532
  ident: b9
  article-title: Multi-objective reactive power and voltage control based on fuzzy optimization strategy and fuzzy adaptive particle swarm
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 46
  start-page: 79
  year: 2017
  end-page: 95
  ident: b1
  article-title: Multi-objective ant lion optimizer: a multi-objective optimization algorithm for solving engineering problems
  publication-title: Appl. Intell.
– year: 2017
  ident: b60
  article-title: LPM-based shielding performance analysis of high-voltage substations against direct lightning strokes
  publication-title: IEEE Trans. Power Deliv
– year: 1999
  ident: b11
  article-title: Tutorial on Fuzzy Logic Application in Power Systems
– reference: S.M.K. Herris, MOPSO Matlab Code.
– start-page: 2696
  year: 2003
  end-page: 2703
  ident: b38
  article-title: Differential evolution for multi-objective optimization
  publication-title: Evol. Comput. 2003 CEC’03 2003 Congr.
– volume: 65
  start-page: 65
  year: 2015
  end-page: 75
  ident: b52
  article-title: Biometric gait identification based on a multilayer perceptron
  publication-title: Robot. Auton. Syst.
– reference: S.M.K. Herris, NSGAII Matlab code.
– volume: 9
  start-page: 65504
  year: 2017
  ident: b57
  article-title: Intelligent control of power sharing between parallel-connected boost converters in micro-girds
  publication-title: J. Renew. Sustain. Energy
– start-page: 861
  year: 2004
  end-page: 872
  ident: b41
  article-title: Solving rotated multi-objective optimization problems using differential evolution
  publication-title: Australas. Jt. Conf. Artif. Intell.
– volume: 27
  start-page: 1053
  year: 2016
  end-page: 1073
  ident: b66
  article-title: Dragonfly algorithm: a new meta-heuristic optimization technique for solving single-objective, discrete, and multi-objective problems
  publication-title: Neural Comput. Appl.
– start-page: 1
  year: 2015
  end-page: 6
  ident: b72
  article-title: Distributed security constrained economic dispatch
  publication-title: Innov. Smart Grid Technol., ISGT ASIA, 2015 IEEE
– start-page: 849
  year: 2000
  end-page: 858
  ident: b6
  article-title: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II
  publication-title: Int. Conf. Parallel Probl. Solving From Nat
– volume: 2
  start-page: 221
  year: 1994
  end-page: 248
  ident: b19
  article-title: Muiltiobjective optimization using nondominated sorting in genetic algorithms
  publication-title: Evol. Comput.
– volume: 47
  start-page: 106
  year: 2016
  end-page: 119
  ident: b4
  article-title: Multi-objective grey wolf optimizer: a novel algorithm for multi-criterion optimization
  publication-title: Expert Syst. Appl.
– volume: 29
  start-page: 1
  year: 1979
  end-page: 52
  ident: b15
  article-title: A survey of multicriteria optimization or the vector maximum problem, part I: 1776–1960
  publication-title: J. Optim. Theory Appl.
– volume: 8
  start-page: 173
  year: 2000
  end-page: 195
  ident: b63
  article-title: Comparison of multiobjective evolutionary algorithms: Empirical results
  publication-title: Evol. Comput.
– volume: 53
  start-page: 642
  year: 2007
  end-page: 666
  ident: b43
  article-title: A hybrid multi-objective shuffled frog-leaping algorithm for a mixed-model assembly line sequencing problem
  publication-title: Comput. Ind. Eng.
– volume: 23
  start-page: 1340
  year: 2010
  end-page: 1349
  ident: b46
  article-title: A hybrid self-adaptive particle swarm optimization and modified shuffled frog leaping algorithm for distribution feeder reconfiguration
  publication-title: Eng. Appl. Artif. Intell.
– start-page: 66
  year: 2009
  end-page: 73
  ident: b34
  article-title: Smpso: A new pso-based metaheuristic for multi-objective optimization
  publication-title: Comput. Intell. Miulti-Criteria Decis. 2009 mcdm’09 Ieee Symp.
– volume: 26
  start-page: 369
  year: 2004
  end-page: 395
  ident: b13
  article-title: Survey of multi-objective optimization methods for engineering
  publication-title: Struct. Multidiscip. Optim.
– start-page: 292
  year: 1998
  end-page: 301
  ident: b32
  article-title: Multiobjective optimization using evolutionary algorithms—a comparative case study
  publication-title: Int. Conf. Parallel Probl. Solving from Nat.
– volume: 41
  start-page: 1227
  year: 2009
  end-page: 1239
  ident: b45
  article-title: A novel hybrid multi-objective shuffled frog-leaping algorithm for a bi-criteria permutation flow shop scheduling problem
  publication-title: Int. J. Adv. Manuf. Technol.
– start-page: 82
  year: 1994
  end-page: 87
  ident: b31
  article-title: A niched pareto genetic algorithm for multiobjective optimization
  publication-title: Evol. Comput. 1994 IEEE World Congr. Comput. Intell. Proc. First IEEE Conf.
– volume: 26
  start-page: 1291
  year: 2013
  end-page: 1300
  ident: b42
  article-title: Multi-objective optimization using teaching-learning-based optimization algorithm
  publication-title: Eng. Appl. Artif. Intell.
– start-page: 505
  year: 2005
  end-page: 519
  ident: b33
  article-title: Improving pso-based multi-objective optimization using crowding, mutation and e-dominance
  publication-title: Evol. Multi Criterion Optim.
– year: 2018
  ident: b24
  article-title: MOGWO Matlab Code
– start-page: 1145
  year: 2002
  end-page: 1150
  ident: b40
  article-title: Multiobjective optimization using a Pareto differential evolution approach
  publication-title: Evol. Comput. 2002 CEC’02 Proc. 2002 Congr.
– volume: 28
  start-page: 565
  year: 2017
  end-page: 574
  ident: b56
  article-title: Robust and accurate feature selection for humanoid push recovery and classification: deep learning approach
  publication-title: Neural Comput. Appl.
– start-page: 461
  year: 2005
  end-page: 477
  ident: b25
  article-title: Integrating user preferences into evolutionary multi-objective optimization
  publication-title: Knowl. Inc. Evol. Comput.
– year: 1989
  ident: b29
  article-title: Genetic Algorithms in Search, Optimization, and Machine Learning
– year: 2006
  ident: b37
  article-title: Differential Evolution: A Practical Approach to Global Optimization
– year: 1998
  ident: b61
  article-title: Multiobjective Evolutionary Algorithm Research: a History and Analysis
– volume: 1
  start-page: 67
  year: 1997
  end-page: 82
  ident: b28
  article-title: No free lunch theorems for optimization
  publication-title: IEEE Trans. Evol. Comput.
– year: 2018
  ident: b75
  article-title: Optimizing configuration of cyber network considering graph theory structure and teaching-learning-based optimization (GT-TLBO)
  publication-title: IEEE Trans. Ind. Informatics
– year: 2018
  ident: b23
  article-title: MOALO Matlab Code
– volume: 36
  start-page: 6420
  year: 2011
  end-page: 6432
  ident: b44
  article-title: A modified shuffle frog leaping algorithm for multi-objective optimal power flow
  publication-title: Energy
– year: 2017
  ident: b73
  article-title: An online learning algorithm for demand response in smart grid
  publication-title: IEEE Trans. Smart Grid
– start-page: 635
  year: 2006
  end-page: 642
  ident: b18
  article-title: Reference point based multi-objective optimization using evolutionary algorithms
  publication-title: Proc. 8th Annu. Conf. Genet. Evol. Comput.
– start-page: 26
  year: 2003
  end-page: 33
  ident: b35
  article-title: Strategies for finding good local guides in multi-objective particle swarm optimization (MOPSO)
  publication-title: Swarm Intell. Symp. 2003 SIS’03 Proc. 2003 IEEE
– volume: 122
  start-page: 70
  year: 2017
  end-page: 82
  ident: b71
  article-title: Multi-objective optimal power flow based on improved strength pareto evolutionary algorithm
  publication-title: Energy
– start-page: 416
  year: 1993
  end-page: 423
  ident: b30
  article-title: Genetic algorithms for multiobjective optimization: formulationdiscussion and generalization
  publication-title: Icga
– start-page: 603
  year: 2002
  end-page: 607
  ident: b36
  article-title: Particle swarm optimization method in multiobjective problems
  publication-title: Proc. 2002 ACM Symp. Appl. Comput.
– year: 2017
  ident: b59
  article-title: A novel physical based meta-heuristic optimization method known as lightning attachment procedure optimization
  publication-title: Appl. Soft Comput.
– volume: 237
  start-page: 82
  year: 2013
  end-page: 117
  ident: b3
  article-title: A survey on optimization metaheuristics
  publication-title: Inf. Sci. (Ny)
– volume: 16
  start-page: 5805
  year: 2016
  end-page: 5816
  ident: b55
  article-title: Generation of joint trajectories using hybrid automate-based model: A rocking block-based approach
  publication-title: IEEE Sens. J.
– volume: 30
  start-page: 388
  year: 2005
  end-page: 403
  ident: b67
  article-title: Multiobjective structural optimization using a microgenetic algorithm
  publication-title: Struct. Multidiscip. Optim.
– volume: 1
  start-page: 129
  year: 1999
  end-page: 156
  ident: b12
  article-title: A comprehensive survey of evolutionary-based multiobjective optimization techniques
  publication-title: Knowl. Inf. Syst.
– volume: 218
  start-page: 9353
  year: 2012
  end-page: 9371
  ident: b47
  article-title: An effective shuffled frog-leaping algorithm for multi-objective flexible job shop scheduling problems
  publication-title: Appl. Math. Comput.
– year: 2007
  ident: b14
  article-title: Evolutionary Algorithms for Solving Multi-Objective Problems
– start-page: 971
  year: 2001
  end-page: 978
  ident: b39
  article-title: PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems
  publication-title: Evol. Comput. 2001 Proc. 2001 Congr.
– volume: 11
  start-page: 489
  year: 2011
  end-page: 499
  ident: b48
  article-title: Artificial Bee Colony (ABC) for multi-objective design optimization of composite structures
  publication-title: Appl. Soft Comput.
– start-page: 1
  year: 2016
  end-page: 19
  ident: b54
  article-title: An optimized feature selection technique based on incremental feature analysis for bio-metric gait data classification
  publication-title: Multimedia Tools Appl.
– volume: 34
  start-page: 141
  year: 2002
  end-page: 153
  ident: b69
  article-title: A swarm metaphor for multiobjective design optimization
  publication-title: Eng. Optim.
– start-page: 1677
  year: 2002
  end-page: 1681
  ident: b5
  article-title: Multiobjective optimization using dynamic neighborhood particle swarm optimization
  publication-title: Evol. Comput. 2002 CEC’02 Proc. 2002 Congr.
– volume: 2
  start-page: 39
  year: 2012
  end-page: 52
  ident: b50
  article-title: A multi-objective artificial bee colony algorithm
  publication-title: Swarm Evol. Comput.
– volume: 181
  start-page: 2455
  year: 2011
  end-page: 2468
  ident: b51
  article-title: A discrete artificial bee colony algorithm for the lot-streaming flow shop scheduling problem
  publication-title: Inf. Sci. (Ny)
– year: 2017
  ident: b27
  article-title: Two-archive method for aggregation-based many-objective optimization
  publication-title: Inf. Sci. (Ny).
– volume: 27
  start-page: 279
  year: 2015
  end-page: 298
  ident: b65
  article-title: Water cycle algorithm for solving constrained multi-objective optimization problems
  publication-title: Appl. Soft Comput.
– start-page: 2696
  year: 2003
  ident: 10.1016/j.asoc.2018.11.032_b38
  article-title: Differential evolution for multi-objective optimization
– start-page: 292
  year: 1998
  ident: 10.1016/j.asoc.2018.11.032_b32
  article-title: Multiobjective optimization using evolutionary algorithms—a comparative case study
– year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b59
  article-title: A novel physical based meta-heuristic optimization method known as lightning attachment procedure optimization
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2017.06.033
– start-page: 66
  year: 2009
  ident: 10.1016/j.asoc.2018.11.032_b34
  article-title: Smpso: A new pso-based metaheuristic for multi-objective optimization
– volume: 30
  start-page: 388
  year: 2005
  ident: 10.1016/j.asoc.2018.11.032_b67
  article-title: Multiobjective structural optimization using a microgenetic algorithm
  publication-title: Struct. Multidiscip. Optim.
  doi: 10.1007/s00158-005-0527-z
– volume: 17
  start-page: B
  year: 1970
  ident: 10.1016/j.asoc.2018.11.032_b10
  article-title: Decision-making in a fuzzy environment
  publication-title: Manage. Sci.
  doi: 10.1287/mnsc.17.4.B141
– start-page: 1
  year: 2015
  ident: 10.1016/j.asoc.2018.11.032_b72
  article-title: Distributed security constrained economic dispatch
– volume: 23
  start-page: 204
  year: 2002
  ident: 10.1016/j.asoc.2018.11.032_b68
  article-title: Constraint handling improvements for multiobjective genetic algorithms
  publication-title: Struct. Multidiscip. Optim.
  doi: 10.1007/s00158-002-0178-2
– start-page: 849
  year: 2000
  ident: 10.1016/j.asoc.2018.11.032_b6
  article-title: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II
– year: 1999
  ident: 10.1016/j.asoc.2018.11.032_b2
– volume: 46
  start-page: 79
  year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b1
  article-title: Multi-objective ant lion optimizer: a multi-objective optimization algorithm for solving engineering problems
  publication-title: Appl. Intell.
  doi: 10.1007/s10489-016-0825-8
– volume: 26
  start-page: 369
  year: 2004
  ident: 10.1016/j.asoc.2018.11.032_b13
  article-title: Survey of multi-objective optimization methods for engineering
  publication-title: Struct. Multidiscip. Optim.
  doi: 10.1007/s00158-003-0368-6
– volume: 29
  start-page: 1
  year: 1979
  ident: 10.1016/j.asoc.2018.11.032_b15
  article-title: A survey of multicriteria optimization or the vector maximum problem, part I: 1776–1960
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/BF00932634
– volume: 7
  start-page: 791
  year: 2007
  ident: 10.1016/j.asoc.2018.11.032_b58
  article-title: Adaptive genetic algorithms applied to dynamic multiobjective problems
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2006.03.001
– start-page: 26
  year: 2003
  ident: 10.1016/j.asoc.2018.11.032_b35
  article-title: Strategies for finding good local guides in multi-objective particle swarm optimization (MOPSO)
– volume: 28
  start-page: 565
  year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b56
  article-title: Robust and accurate feature selection for humanoid push recovery and classification: deep learning approach
  publication-title: Neural Comput. Appl.
  doi: 10.1007/s00521-015-2089-3
– volume: 55
  start-page: 1159
  year: 2011
  ident: 10.1016/j.asoc.2018.11.032_b26
  article-title: Pareto-based discrete artificial bee colony algorithm for multi-objective flexible job shop scheduling problems
  publication-title: Int. J. Adv. Manuf. Technol.
  doi: 10.1007/s00170-010-3140-2
– start-page: 635
  year: 2006
  ident: 10.1016/j.asoc.2018.11.032_b18
  article-title: Reference point based multi-objective optimization using evolutionary algorithms
– volume: 41
  start-page: 1227
  year: 2009
  ident: 10.1016/j.asoc.2018.11.032_b45
  article-title: A novel hybrid multi-objective shuffled frog-leaping algorithm for a bi-criteria permutation flow shop scheduling problem
  publication-title: Int. J. Adv. Manuf. Technol.
  doi: 10.1007/s00170-008-1558-6
– volume: 34
  start-page: 141
  year: 2002
  ident: 10.1016/j.asoc.2018.11.032_b69
  article-title: A swarm metaphor for multiobjective design optimization
  publication-title: Eng. Optim.
  doi: 10.1080/03052150210915
– volume: 11
  start-page: 489
  year: 2011
  ident: 10.1016/j.asoc.2018.11.032_b48
  article-title: Artificial Bee Colony (ABC) for multi-objective design optimization of composite structures
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2009.12.008
– year: 2007
  ident: 10.1016/j.asoc.2018.11.032_b14
– volume: 16
  start-page: 5805
  year: 2016
  ident: 10.1016/j.asoc.2018.11.032_b55
  article-title: Generation of joint trajectories using hybrid automate-based model: A rocking block-based approach
  publication-title: IEEE Sens. J.
  doi: 10.1109/JSEN.2016.2570281
– volume: 122
  start-page: 70
  year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b71
  article-title: Multi-objective optimal power flow based on improved strength pareto evolutionary algorithm
  publication-title: Energy
  doi: 10.1016/j.energy.2017.01.071
– year: 2018
  ident: 10.1016/j.asoc.2018.11.032_b24
– volume: 42
  start-page: 21
  year: 2014
  ident: 10.1016/j.asoc.2018.11.032_b49
  article-title: A comprehensive survey: artificial bee colony (ABC) algorithm and applications
  publication-title: Artif. Intell. Rev.
  doi: 10.1007/s10462-012-9328-0
– volume: 1
  start-page: 28
  year: 2006
  ident: 10.1016/j.asoc.2018.11.032_b20
  article-title: Evolutionary multi-objective optimization: a historical view of the field
  publication-title: IEEE Comput. Intell. Mag.
  doi: 10.1109/MCI.2006.1597059
– year: 2018
  ident: 10.1016/j.asoc.2018.11.032_b23
– start-page: 971
  year: 2001
  ident: 10.1016/j.asoc.2018.11.032_b39
  article-title: PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems
– volume: 36
  start-page: 6420
  year: 2011
  ident: 10.1016/j.asoc.2018.11.032_b44
  article-title: A modified shuffle frog leaping algorithm for multi-objective optimal power flow
  publication-title: Energy
  doi: 10.1016/j.energy.2011.09.027
– volume: 70
  start-page: 181
  year: 2015
  ident: 10.1016/j.asoc.2018.11.032_b53
  article-title: Biologically-inspired push recovery capable bipedal locomotion modeling through hybrid automata
  publication-title: Robot. Auton. Syst.
  doi: 10.1016/j.robot.2015.02.009
– start-page: 1677
  year: 2002
  ident: 10.1016/j.asoc.2018.11.032_b5
  article-title: Multiobjective optimization using dynamic neighborhood particle swarm optimization
– volume: 8
  start-page: 55301
  year: 2016
  ident: 10.1016/j.asoc.2018.11.032_b77
  article-title: Optimal sizing and siting of dgs for loss reduction using an iterative-analytical method
  publication-title: J. Renew. Sustain. Energy
  doi: 10.1063/1.4966230
– volume: 10
  start-page: 43
  year: 1999
  ident: 10.1016/j.asoc.2018.11.032_b62
  article-title: Detection and remediation of stagnation in the Nelder–Mead algorithm using a sufficient decrease condition
  publication-title: SIAM J. Optim.
  doi: 10.1137/S1052623497315203
– start-page: 416
  year: 1993
  ident: 10.1016/j.asoc.2018.11.032_b30
  article-title: Genetic algorithms for multiobjective optimization: formulationdiscussion and generalization
– start-page: 1145
  year: 2002
  ident: 10.1016/j.asoc.2018.11.032_b40
  article-title: Multiobjective optimization using a Pareto differential evolution approach
– volume: 22
  start-page: 874
  year: 2014
  ident: 10.1016/j.asoc.2018.11.032_b70
  article-title: Shuffled frog leaping algorithm optimization for AC–DC optimal power flow dispatch
  publication-title: Turkish J. Electr. Eng. Comput. Sci.
  doi: 10.3906/elk-1205-80
– start-page: 505
  year: 2005
  ident: 10.1016/j.asoc.2018.11.032_b33
  article-title: Improving pso-based multi-objective optimization using crowding, mutation and e-dominance
– volume: 1
  start-page: 67
  year: 1997
  ident: 10.1016/j.asoc.2018.11.032_b28
  article-title: No free lunch theorems for optimization
  publication-title: IEEE Trans. Evol. Comput.
  doi: 10.1109/4235.585893
– year: 2001
  ident: 10.1016/j.asoc.2018.11.032_b16
– ident: 10.1016/j.asoc.2018.11.032_b22
– volume: 2
  start-page: 221
  year: 1994
  ident: 10.1016/j.asoc.2018.11.032_b19
  article-title: Muiltiobjective optimization using nondominated sorting in genetic algorithms
  publication-title: Evol. Comput.
  doi: 10.1162/evco.1994.2.3.221
– volume: 26
  start-page: 1291
  year: 2013
  ident: 10.1016/j.asoc.2018.11.032_b42
  article-title: Multi-objective optimization using teaching-learning-based optimization algorithm
  publication-title: Eng. Appl. Artif. Intell.
  doi: 10.1016/j.engappai.2012.11.006
– start-page: 84
  year: 2005
  ident: 10.1016/j.asoc.2018.11.032_b17
  article-title: Pareto multi objective optimization
– start-page: 461
  year: 2005
  ident: 10.1016/j.asoc.2018.11.032_b25
  article-title: Integrating user preferences into evolutionary multi-objective optimization
– volume: 23
  start-page: 1340
  year: 2010
  ident: 10.1016/j.asoc.2018.11.032_b46
  article-title: A hybrid self-adaptive particle swarm optimization and modified shuffled frog leaping algorithm for distribution feeder reconfiguration
  publication-title: Eng. Appl. Artif. Intell.
  doi: 10.1016/j.engappai.2010.02.005
– year: 1989
  ident: 10.1016/j.asoc.2018.11.032_b29
– year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b73
  article-title: An online learning algorithm for demand response in smart grid
  publication-title: IEEE Trans. Smart Grid
– volume: 65
  start-page: 65
  year: 2015
  ident: 10.1016/j.asoc.2018.11.032_b52
  article-title: Biometric gait identification based on a multilayer perceptron
  publication-title: Robot. Auton. Syst.
  doi: 10.1016/j.robot.2014.11.010
– start-page: 82
  year: 1994
  ident: 10.1016/j.asoc.2018.11.032_b31
  article-title: A niched pareto genetic algorithm for multiobjective optimization
– volume: 181
  start-page: 2455
  year: 2011
  ident: 10.1016/j.asoc.2018.11.032_b51
  article-title: A discrete artificial bee colony algorithm for the lot-streaming flow shop scheduling problem
  publication-title: Inf. Sci. (Ny)
  doi: 10.1016/j.ins.2009.12.025
– volume: 53
  start-page: 642
  year: 2007
  ident: 10.1016/j.asoc.2018.11.032_b43
  article-title: A hybrid multi-objective shuffled frog-leaping algorithm for a mixed-model assembly line sequencing problem
  publication-title: Comput. Ind. Eng.
  doi: 10.1016/j.cie.2007.06.007
– volume: 47
  start-page: 106
  year: 2016
  ident: 10.1016/j.asoc.2018.11.032_b4
  article-title: Multi-objective grey wolf optimizer: a novel algorithm for multi-criterion optimization
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2015.10.039
– volume: 32
  start-page: 499
  year: 2001
  ident: 10.1016/j.asoc.2018.11.032_b8
  article-title: Guidance in evolutionary multi-objective optimization
  publication-title: Adv. Eng. Softw.
  doi: 10.1016/S0965-9978(00)00110-1
– year: 1998
  ident: 10.1016/j.asoc.2018.11.032_b61
– start-page: 603
  year: 2002
  ident: 10.1016/j.asoc.2018.11.032_b36
  article-title: Particle swarm optimization method in multiobjective problems
– volume: 27
  start-page: 1053
  year: 2016
  ident: 10.1016/j.asoc.2018.11.032_b66
  article-title: Dragonfly algorithm: a new meta-heuristic optimization technique for solving single-objective, discrete, and multi-objective problems
  publication-title: Neural Comput. Appl.
  doi: 10.1007/s00521-015-1920-1
– start-page: 1
  year: 2016
  ident: 10.1016/j.asoc.2018.11.032_b54
  article-title: An optimized feature selection technique based on incremental feature analysis for bio-metric gait data classification
  publication-title: Multimedia Tools Appl.
– volume: 237
  start-page: 82
  year: 2013
  ident: 10.1016/j.asoc.2018.11.032_b3
  article-title: A survey on optimization metaheuristics
  publication-title: Inf. Sci. (Ny)
  doi: 10.1016/j.ins.2013.02.041
– ident: 10.1016/j.asoc.2018.11.032_b21
– volume: 300
  start-page: 158
  year: 2015
  ident: 10.1016/j.asoc.2018.11.032_b64
  article-title: Novel frameworks for creating robust multi-objective benchmark problems
  publication-title: Inf. Sci. (Ny)
  doi: 10.1016/j.ins.2014.12.037
– volume: 1
  start-page: 129
  year: 1999
  ident: 10.1016/j.asoc.2018.11.032_b12
  article-title: A comprehensive survey of evolutionary-based multiobjective optimization techniques
  publication-title: Knowl. Inf. Syst.
– volume: 2
  start-page: 39
  year: 2012
  ident: 10.1016/j.asoc.2018.11.032_b50
  article-title: A multi-objective artificial bee colony algorithm
  publication-title: Swarm Evol. Comput.
  doi: 10.1016/j.swevo.2011.08.001
– volume: 9
  start-page: 65504
  year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b57
  article-title: Intelligent control of power sharing between parallel-connected boost converters in micro-girds
  publication-title: J. Renew. Sustain. Energy
  doi: 10.1063/1.5011156
– volume: 8
  start-page: 173
  year: 2000
  ident: 10.1016/j.asoc.2018.11.032_b63
  article-title: Comparison of multiobjective evolutionary algorithms: Empirical results
  publication-title: Evol. Comput.
  doi: 10.1162/106365600568202
– year: 2006
  ident: 10.1016/j.asoc.2018.11.032_b37
– volume: 10
  start-page: 43312
  year: 2018
  ident: 10.1016/j.asoc.2018.11.032_b76
  article-title: A new evolutionary-analytical two-step optimization method for optimal wind turbine allocation considering maximum capacity
  publication-title: J. Renew. Sustain. Energy
  doi: 10.1063/1.5043403
– volume: 30
  start-page: 525
  year: 2008
  ident: 10.1016/j.asoc.2018.11.032_b9
  article-title: Multi-objective reactive power and voltage control based on fuzzy optimization strategy and fuzzy adaptive particle swarm
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2008.04.005
– volume: 1
  start-page: 32
  year: 2011
  ident: 10.1016/j.asoc.2018.11.032_b7
  article-title: Multiobjective evolutionary algorithms: A survey of the state of the art
  publication-title: Swarm Evol. Comput.
  doi: 10.1016/j.swevo.2011.03.001
– year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b60
  article-title: LPM-based shielding performance analysis of high-voltage substations against direct lightning strokes
  publication-title: IEEE Trans. Power Deliv
  doi: 10.1109/TPWRD.2016.2616518
– year: 1999
  ident: 10.1016/j.asoc.2018.11.032_b11
– volume: 27
  start-page: 279
  year: 2015
  ident: 10.1016/j.asoc.2018.11.032_b65
  article-title: Water cycle algorithm for solving constrained multi-objective optimization problems
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2014.10.042
– year: 2018
  ident: 10.1016/j.asoc.2018.11.032_b74
  article-title: Diagonal quadratic approximation for decentralized collaborative TSO+ DSO optimal power flow
  publication-title: IEEE Trans. Smart Grid
  doi: 10.1109/TSG.2018.2796034
– year: 2018
  ident: 10.1016/j.asoc.2018.11.032_b75
  article-title: Optimizing configuration of cyber network considering graph theory structure and teaching-learning-based optimization (GT-TLBO)
  publication-title: IEEE Trans. Ind. Informatics
– start-page: 861
  year: 2004
  ident: 10.1016/j.asoc.2018.11.032_b41
  article-title: Solving rotated multi-objective optimization problems using differential evolution
– year: 2017
  ident: 10.1016/j.asoc.2018.11.032_b27
  article-title: Two-archive method for aggregation-based many-objective optimization
  publication-title: Inf. Sci. (Ny).
– volume: 218
  start-page: 9353
  year: 2012
  ident: 10.1016/j.asoc.2018.11.032_b47
  article-title: An effective shuffled frog-leaping algorithm for multi-objective flexible job shop scheduling problems
  publication-title: Appl. Math. Comput.
  doi: 10.1016/j.amc.2012.03.018
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Snippet In this paper, a novel multi-objective optimization method based on a recently introduced algorithm known as Lightning Attachment Procedure Optimization (LAPO)...
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SubjectTerms Benchmark problem
Evolutionary multi-objective optimization
Lightning Attachment Procedure Optimization
Meta-heuristic
Multi objective optimization method
Non-dominated sorting
Pareto optimal solutions
Title A novel multi-objective optimization algorithm based on Lightning Attachment Procedure Optimization algorithm
URI https://dx.doi.org/10.1016/j.asoc.2018.11.032
Volume 75
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