Multi-objective differential evolution with dynamic hybrid constraint handling mechanism

Many real-world problems in engineering and process synthesis tend to be highly dimensional and nonlinear, even involve conflicting multiple objectives and subject to many constraints, which makes the feasible regions narrow; hence, it is hard to be solved by traditional constraint handling techniqu...

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Veröffentlicht in:Soft computing (Berlin, Germany) Jg. 23; H. 12; S. 4341 - 4355
Hauptverfasser: Lin, YueFeng, Du, Wei, Du, Wenli
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
Springer Nature B.V
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ISSN:1432-7643, 1433-7479
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Abstract Many real-world problems in engineering and process synthesis tend to be highly dimensional and nonlinear, even involve conflicting multiple objectives and subject to many constraints, which makes the feasible regions narrow; hence, it is hard to be solved by traditional constraint handling techniques used in evolutionary algorithms. To handle this issue, this paper presents a multi-objective differential evolution with dynamic hybrid constraint handling mechanism (MODE-DCH) for tackling constrained multi-objective problems (CMOPs). In MODE-DCH, global search model and local search model combined with different constraint handling methods are proposed, and they are executed dynamically based on the feasibility proportion of the population. In the early stage that the feasible ratio is low, the local search model focuses on dragging the population into feasible regions rapidly, while the global search model is used to refine the whole population in the later stage. The two major modules of the algorithm cooperate together to balance the convergence and distribution of Pareto-optimal front. To demonstrate the effectiveness of MODE-DCH, the proposed algorithm is applied on several well-known CMOPs and two engineering problems compared with two other state-of-the-art multi-objective algorithms. The performance indicators show that MODE-DCH is an effective method to solve CMOPs.
AbstractList Many real-world problems in engineering and process synthesis tend to be highly dimensional and nonlinear, even involve conflicting multiple objectives and subject to many constraints, which makes the feasible regions narrow; hence, it is hard to be solved by traditional constraint handling techniques used in evolutionary algorithms. To handle this issue, this paper presents a multi-objective differential evolution with dynamic hybrid constraint handling mechanism (MODE-DCH) for tackling constrained multi-objective problems (CMOPs). In MODE-DCH, global search model and local search model combined with different constraint handling methods are proposed, and they are executed dynamically based on the feasibility proportion of the population. In the early stage that the feasible ratio is low, the local search model focuses on dragging the population into feasible regions rapidly, while the global search model is used to refine the whole population in the later stage. The two major modules of the algorithm cooperate together to balance the convergence and distribution of Pareto-optimal front. To demonstrate the effectiveness of MODE-DCH, the proposed algorithm is applied on several well-known CMOPs and two engineering problems compared with two other state-of-the-art multi-objective algorithms. The performance indicators show that MODE-DCH is an effective method to solve CMOPs.
Author Du, Wei
Du, Wenli
Lin, YueFeng
Author_xml – sequence: 1
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  surname: Lin
  fullname: Lin, YueFeng
  organization: Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education
– sequence: 2
  givenname: Wei
  surname: Du
  fullname: Du, Wei
  organization: Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education
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  givenname: Wenli
  surname: Du
  fullname: Du, Wenli
  email: wldu@ecust.edu.cn
  organization: Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology
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Cites_doi 10.1016/j.asoc.2013.10.008
10.1109/3477.484436
10.1109/TSMCB.2006.886164
10.1007/s00500-012-0816-6
10.1016/j.ins.2012.01.017
10.1016/j.asoc.2012.07.027
10.1080/0305215X.2016.1271661
10.1016/j.asoc.2017.06.053
10.1109/TCYB.2015.2493239
10.1007/s10479-015-2017-z
10.1109/TSMCB.2011.2161467
10.1162/evco.1994.2.3.221
10.1109/4235.996017
10.1109/4235.585893
10.1016/S0045-7825(99)00389-8
10.1080/0305215X.2010.493937
10.1007/s00500-006-0096-0
10.1109/TEVC.2008.2009032
10.1016/S0098-1354(98)00188-4
10.1109/TEVC.2008.925798
10.1109/TEVC.2004.836819
10.1080/03052150210915
10.1023/A:1008202821328
10.1016/0377-2217(95)00037-2
10.1109/TEVC.2005.850256
10.1109/CEC.2014.6900525
10.1007/s00500-006-0068-4
10.1007/978-0-387-30164-8_630
10.1145/2908961.2926986
10.1109/CEC.2011.5949831
10.1109/ICSMC.1995.537993
10.1109/CEC.2017.7969601
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Differential evolutionary algorithm
Multi-objective optimization
Constrained optimization
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References Nowicki, Smutnicki (CR20) 1996; 91
Qian, Xu, Qi, Tianfield (CR23) 2012; 16
Storn, Price (CR28) 1997; 11
CR15
CR36
CR13
Deb, Pratap, Agarwal, Meyarivan (CR5) 2002; 6
CR12
Deb (CR3) 2000; 186
CR30
Wang, Cai (CR31) 2012; 42
Li, Zhang (CR14) 2009; 13
Dimkou, Papalexandri (CR6) 1998; 22
Ning, Guo, Yan, Wu, Wu, Zhao (CR19) 2017; 49
Ray, Liew (CR25) 2002; 34
Dorigo, Maniezzo, Colorni (CR7) 1996; 26
Nebro, Alba, Luna (CR18) 2007; 11
CR2
Woldesenbet, Yen, Tessema (CR34) 2009; 13
CR8
CR29
Jiao, Luo, Shang, Liu (CR11) 2014; 14
CR9
Wang, Cai, Guo, Zhou (CR32) 2007; 37
Castillo, Trujillo, Melin (CR1) 2007; 11
Qu, Suganthan (CR24) 2011; 43
Srinivas, Deb (CR27) 1994; 2
CR22
Segura, Coello, Coello, León (CR26) 2015; 240
Muhammad, Rashida (CR17) 2013; 13
Wang, Wang, Li, Yen (CR33) 2016; 46
Peng, Liu, Gu (CR21) 2017; 60
Jia, Wang, Cai, Jin (CR10) 2013; 222
Deb (CR4) 2001
Mezura-Montes, Coello (CR16) 2005; 9
Wolpert, Macready (CR35) 1997; 1
Y Wang (3087_CR31) 2012; 42
3087_CR2
W Ning (3087_CR19) 2017; 49
AJ Muhammad (3087_CR17) 2013; 13
C Segura (3087_CR26) 2015; 240
3087_CR9
3087_CR8
K Deb (3087_CR3) 2000; 186
K Deb (3087_CR5) 2002; 6
TI Dimkou (3087_CR6) 1998; 22
N Srinivas (3087_CR27) 1994; 2
3087_CR29
BY Qu (3087_CR24) 2011; 43
E Mezura-Montes (3087_CR16) 2005; 9
G Jia (3087_CR10) 2013; 222
3087_CR22
M Dorigo (3087_CR7) 1996; 26
3087_CR30
O Castillo (3087_CR1) 2007; 11
K Deb (3087_CR4) 2001
Y Wang (3087_CR32) 2007; 37
H Li (3087_CR14) 2009; 13
R Storn (3087_CR28) 1997; 11
T Ray (3087_CR25) 2002; 34
DH Wolpert (3087_CR35) 1997; 1
E Nowicki (3087_CR20) 1996; 91
AJ Nebro (3087_CR18) 2007; 11
3087_CR13
Y Wang (3087_CR33) 2016; 46
YG Woldesenbet (3087_CR34) 2009; 13
3087_CR36
L Jiao (3087_CR11) 2014; 14
3087_CR15
F Qian (3087_CR23) 2012; 16
3087_CR12
C Peng (3087_CR21) 2017; 60
References_xml – volume: 14
  start-page: 363
  year: 2014
  end-page: 380
  ident: CR11
  article-title: A modified objective function method with feasible-guiding strategy to solve constrained multi-objective optimization problems
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2013.10.008
– ident: CR22
– volume: 26
  start-page: 29
  issue: 1
  year: 1996
  end-page: 41
  ident: CR7
  article-title: Ant system: optimization by a colony of cooperating agents
  publication-title: IEEE Trans Syst Man Cybern Part B (Cybernetics)
  doi: 10.1109/3477.484436
– volume: 37
  start-page: 560
  issue: 3
  year: 2007
  end-page: 575
  ident: CR32
  article-title: Multiobjective optimization and hybrid evolutionary algorithm to solve constrained optimization problems
  publication-title: IEEE Trans Syst Man Cybern Part B (Cybernetics)
  doi: 10.1109/TSMCB.2006.886164
– volume: 16
  start-page: 1353
  issue: 8
  year: 2012
  end-page: 1372
  ident: CR23
  article-title: Self-adaptive differential evolution algorithm with -constrained-domination principle for constrained multi-objective optimization
  publication-title: Soft Comput
  doi: 10.1007/s00500-012-0816-6
– volume: 222
  start-page: 302
  year: 2013
  end-page: 322
  ident: CR10
  article-title: An improved ( )-constrained differential evolution for constrained optimization
  publication-title: Inf Sci
  doi: 10.1016/j.ins.2012.01.017
– volume: 13
  start-page: 128
  issue: 1
  year: 2013
  end-page: 148
  ident: CR17
  article-title: A study of two penalty-parameterless constraint handling techniques in the framework of MOEA/D
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2012.07.027
– volume: 49
  start-page: 1645
  issue: 10
  year: 2017
  end-page: 1664
  ident: CR19
  article-title: Constrained multi-objective optimization using constrained non-dominated sorting combined with an improved hybrid multi-objective evolutionary algorithm
  publication-title: Eng Optim
  doi: 10.1080/0305215X.2016.1271661
– ident: CR2
– volume: 60
  start-page: 613
  year: 2017
  end-page: 622
  ident: CR21
  article-title: An evolutionary algorithm with directed weights for constrained multi-objective optimization
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2017.06.053
– ident: CR12
– ident: CR30
– volume: 46
  start-page: 2938
  issue: 12
  year: 2016
  end-page: 2952
  ident: CR33
  article-title: Incorporating objective function information into the feasibility rule for constrained evolutionary optimization
  publication-title: IEEE Trans Cybern
  doi: 10.1109/TCYB.2015.2493239
– ident: CR29
– year: 2001
  ident: CR4
  publication-title: Multi-objective optimization using evolutionary algorithms
– volume: 240
  start-page: 217
  issue: 1
  year: 2015
  end-page: 250
  ident: CR26
  article-title: Using multi-objective evolutionary algorithms for single-objective constrained and unconstrained optimization
  publication-title: Ann Oper Res
  doi: 10.1007/s10479-015-2017-z
– ident: CR8
– volume: 11
  start-page: 269
  issue: 3
  year: 2007
  end-page: 279
  ident: CR1
  article-title: Multiple objective genetic algorithms for path-planning optimization in autonomous mobile robots
  publication-title: Soft Comput A Fusion Found Methodol Appl
– volume: 42
  start-page: 203
  issue: 1
  year: 2012
  end-page: 217
  ident: CR31
  article-title: A dynamic hybrid framework for constrained evolutionary optimization
  publication-title: IEEE Trans Syst Man Cybern Part B (Cybernetics)
  doi: 10.1109/TSMCB.2011.2161467
– volume: 2
  start-page: 221
  issue: 3
  year: 1994
  end-page: 248
  ident: CR27
  article-title: Multiobjective optimization using nondominated sorting in genetic algorithms
  publication-title: Evol Comput
  doi: 10.1162/evco.1994.2.3.221
– volume: 6
  start-page: 182
  issue: 2
  year: 2002
  end-page: 197
  ident: CR5
  article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/4235.996017
– ident: CR15
– volume: 1
  start-page: 67
  issue: 1
  year: 1997
  end-page: 82
  ident: CR35
  article-title: No free lunch theorems for optimization
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/4235.585893
– volume: 186
  start-page: 311
  issue: 2
  year: 2000
  end-page: 338
  ident: CR3
  article-title: An efficient constraint handling method for genetic algorithms
  publication-title: Comput Method Appl Mech Eng
  doi: 10.1016/S0045-7825(99)00389-8
– volume: 43
  start-page: 403
  issue: 4
  year: 2011
  end-page: 416
  ident: CR24
  article-title: Constrained multi-objective optimization algorithm with an ensemble of constraint handling methods
  publication-title: Eng Optim
  doi: 10.1080/0305215X.2010.493937
– volume: 11
  start-page: 531
  issue: 6
  year: 2007
  end-page: 540
  ident: CR18
  article-title: Multi-objective optimization using grid computing
  publication-title: Soft Comput
  doi: 10.1007/s00500-006-0096-0
– ident: CR13
– volume: 13
  start-page: 514
  issue: 3
  year: 2009
  end-page: 525
  ident: CR34
  article-title: Constraint handling in multiobjective evolutionary optimization
  publication-title: IEEE Trans Evol Comput
  doi: 10.1109/TEVC.2008.2009032
– volume: 22
  start-page: S951
  year: 1998
  end-page: S954
  ident: CR6
  article-title: A parametric optimization approach for multiobjective engineering problems involving discrete decisions
  publication-title: Comput Chem Eng
  doi: 10.1016/S0098-1354(98)00188-4
– ident: CR9
– volume: 13
  start-page: 284
  issue: 2
  year: 2009
  end-page: 302
  ident: CR14
  article-title: Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/TEVC.2008.925798
– volume: 9
  start-page: 1
  issue: 1
  year: 2005
  end-page: 17
  ident: CR16
  article-title: A simple multimembered evolution strategy to solve constrained optimization problems
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/TEVC.2004.836819
– volume: 34
  start-page: 141
  issue: 2
  year: 2002
  end-page: 153
  ident: CR25
  article-title: A swarm metaphor for multiobjective design optimization
  publication-title: Eng Optim
  doi: 10.1080/03052150210915
– volume: 11
  start-page: 341
  issue: 4
  year: 1997
  end-page: 359
  ident: CR28
  article-title: Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces
  publication-title: J Global Optim
  doi: 10.1023/A:1008202821328
– ident: CR36
– volume: 91
  start-page: 160
  issue: 1
  year: 1996
  end-page: 175
  ident: CR20
  article-title: A fast tabu search algorithm for the permutation flow-shop problem
  publication-title: Eur J Oper Res
  doi: 10.1016/0377-2217(95)00037-2
– volume: 222
  start-page: 302
  year: 2013
  ident: 3087_CR10
  publication-title: Inf Sci
  doi: 10.1016/j.ins.2012.01.017
– volume: 11
  start-page: 341
  issue: 4
  year: 1997
  ident: 3087_CR28
  publication-title: J Global Optim
  doi: 10.1023/A:1008202821328
– volume: 1
  start-page: 67
  issue: 1
  year: 1997
  ident: 3087_CR35
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/4235.585893
– ident: 3087_CR29
  doi: 10.1109/TEVC.2005.850256
– volume: 46
  start-page: 2938
  issue: 12
  year: 2016
  ident: 3087_CR33
  publication-title: IEEE Trans Cybern
  doi: 10.1109/TCYB.2015.2493239
– ident: 3087_CR15
  doi: 10.1109/CEC.2014.6900525
– volume: 6
  start-page: 182
  issue: 2
  year: 2002
  ident: 3087_CR5
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/4235.996017
– volume: 37
  start-page: 560
  issue: 3
  year: 2007
  ident: 3087_CR32
  publication-title: IEEE Trans Syst Man Cybern Part B (Cybernetics)
  doi: 10.1109/TSMCB.2006.886164
– volume: 14
  start-page: 363
  year: 2014
  ident: 3087_CR11
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2013.10.008
– volume: 186
  start-page: 311
  issue: 2
  year: 2000
  ident: 3087_CR3
  publication-title: Comput Method Appl Mech Eng
  doi: 10.1016/S0045-7825(99)00389-8
– volume: 2
  start-page: 221
  issue: 3
  year: 1994
  ident: 3087_CR27
  publication-title: Evol Comput
  doi: 10.1162/evco.1994.2.3.221
– ident: 3087_CR12
– volume: 11
  start-page: 531
  issue: 6
  year: 2007
  ident: 3087_CR18
  publication-title: Soft Comput
  doi: 10.1007/s00500-006-0096-0
– volume: 60
  start-page: 613
  year: 2017
  ident: 3087_CR21
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2017.06.053
– volume-title: Multi-objective optimization using evolutionary algorithms
  year: 2001
  ident: 3087_CR4
– volume: 16
  start-page: 1353
  issue: 8
  year: 2012
  ident: 3087_CR23
  publication-title: Soft Comput
  doi: 10.1007/s00500-012-0816-6
– volume: 42
  start-page: 203
  issue: 1
  year: 2012
  ident: 3087_CR31
  publication-title: IEEE Trans Syst Man Cybern Part B (Cybernetics)
  doi: 10.1109/TSMCB.2011.2161467
– volume: 43
  start-page: 403
  issue: 4
  year: 2011
  ident: 3087_CR24
  publication-title: Eng Optim
  doi: 10.1080/0305215X.2010.493937
– volume: 13
  start-page: 128
  issue: 1
  year: 2013
  ident: 3087_CR17
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2012.07.027
– volume: 9
  start-page: 1
  issue: 1
  year: 2005
  ident: 3087_CR16
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/TEVC.2004.836819
– volume: 26
  start-page: 29
  issue: 1
  year: 1996
  ident: 3087_CR7
  publication-title: IEEE Trans Syst Man Cybern Part B (Cybernetics)
  doi: 10.1109/3477.484436
– volume: 49
  start-page: 1645
  issue: 10
  year: 2017
  ident: 3087_CR19
  publication-title: Eng Optim
  doi: 10.1080/0305215X.2016.1271661
– ident: 3087_CR22
– volume: 11
  start-page: 269
  issue: 3
  year: 2007
  ident: 3087_CR1
  publication-title: Soft Comput A Fusion Found Methodol Appl
  doi: 10.1007/s00500-006-0068-4
– ident: 3087_CR8
  doi: 10.1007/978-0-387-30164-8_630
– volume: 34
  start-page: 141
  issue: 2
  year: 2002
  ident: 3087_CR25
  publication-title: Eng Optim
  doi: 10.1080/03052150210915
– volume: 240
  start-page: 217
  issue: 1
  year: 2015
  ident: 3087_CR26
  publication-title: Ann Oper Res
  doi: 10.1007/s10479-015-2017-z
– ident: 3087_CR2
  doi: 10.1145/2908961.2926986
– ident: 3087_CR9
  doi: 10.1109/CEC.2011.5949831
– volume: 13
  start-page: 514
  issue: 3
  year: 2009
  ident: 3087_CR34
  publication-title: IEEE Trans Evol Comput
  doi: 10.1109/TEVC.2008.2009032
– volume: 91
  start-page: 160
  issue: 1
  year: 1996
  ident: 3087_CR20
  publication-title: Eur J Oper Res
  doi: 10.1016/0377-2217(95)00037-2
– ident: 3087_CR30
  doi: 10.1109/ICSMC.1995.537993
– ident: 3087_CR13
– ident: 3087_CR36
  doi: 10.1109/CEC.2017.7969601
– volume: 22
  start-page: S951
  year: 1998
  ident: 3087_CR6
  publication-title: Comput Chem Eng
  doi: 10.1016/S0098-1354(98)00188-4
– volume: 13
  start-page: 284
  issue: 2
  year: 2009
  ident: 3087_CR14
  publication-title: IEEE Trans Evolut Comput
  doi: 10.1109/TEVC.2008.925798
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Snippet Many real-world problems in engineering and process synthesis tend to be highly dimensional and nonlinear, even involve conflicting multiple objectives and...
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SubjectTerms Artificial Intelligence
Computational Intelligence
Constraint modelling
Control
Engineering
Evolutionary algorithms
Evolutionary computation
Feasibility
Genetic algorithms
Handling
Mathematical Logic and Foundations
Mechatronics
Methodologies and Application
Methods
Multiple objective analysis
Mutation
Optimization
Robotics
Search strategies
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