A Pareto-Based Hybrid Whale Optimization Algorithm with Tabu Search for Multi-Objective Optimization

Multi-Objective Problems (MOPs) are common real-life problems that can be found in different fields, such as bioinformatics and scheduling. Pareto Optimization (PO) is a popular method for solving MOPs, which optimizes all objectives simultaneously. It provides an effective way to evaluate the quali...

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Veröffentlicht in:Algorithms Jg. 12; H. 12; S. 261
Hauptverfasser: AbdelAziz, Amr Mohamed, Soliman, Taysir Hassan A., Ghany, Kareem Kamal A., Sewisy, Adel Abu El-Magd
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Basel MDPI AG 04.12.2019
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ISSN:1999-4893, 1999-4893
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Abstract Multi-Objective Problems (MOPs) are common real-life problems that can be found in different fields, such as bioinformatics and scheduling. Pareto Optimization (PO) is a popular method for solving MOPs, which optimizes all objectives simultaneously. It provides an effective way to evaluate the quality of multi-objective solutions. Swarm Intelligence (SI) methods are population-based methods that generate multiple solutions to the problem, providing SI methods suitable for MOP solutions. SI methods have certain drawbacks when applied to MOPs, such as swarm leader selection and obtaining evenly distributed solutions over solution space. Whale Optimization Algorithm (WOA) is a recent SI method. In this paper, we propose combining WOA with Tabu Search (TS) for MOPs (MOWOATS). MOWOATS uses TS to store non-dominated solutions in elite lists to guide swarm members, which overcomes the swarm leader selection problem. MOWOATS employs crossover in both intensification and diversification phases to improve diversity of the population. MOWOATS proposes a new diversification step to eliminate the need for local search methods. MOWOATS has been tested over different benchmark multi-objective test functions, such as CEC2009, ZDT, and DTLZ. Results present the efficiency of MOWOATS in finding solutions near Pareto front and evenly distributed over solution space.
AbstractList Multi-Objective Problems (MOPs) are common real-life problems that can be found in different fields, such as bioinformatics and scheduling. Pareto Optimization (PO) is a popular method for solving MOPs, which optimizes all objectives simultaneously. It provides an effective way to evaluate the quality of multi-objective solutions. Swarm Intelligence (SI) methods are population-based methods that generate multiple solutions to the problem, providing SI methods suitable for MOP solutions. SI methods have certain drawbacks when applied to MOPs, such as swarm leader selection and obtaining evenly distributed solutions over solution space. Whale Optimization Algorithm (WOA) is a recent SI method. In this paper, we propose combining WOA with Tabu Search (TS) for MOPs (MOWOATS). MOWOATS uses TS to store non-dominated solutions in elite lists to guide swarm members, which overcomes the swarm leader selection problem. MOWOATS employs crossover in both intensification and diversification phases to improve diversity of the population. MOWOATS proposes a new diversification step to eliminate the need for local search methods. MOWOATS has been tested over different benchmark multi-objective test functions, such as CEC2009, ZDT, and DTLZ. Results present the efficiency of MOWOATS in finding solutions near Pareto front and evenly distributed over solution space.
Author Sewisy, Adel Abu El-Magd
AbdelAziz, Amr Mohamed
Ghany, Kareem Kamal A.
Soliman, Taysir Hassan A.
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Cites_doi 10.1145/1046456.1046467
10.1145/2742642
10.1002/9780470496916
10.1162/evco.1994.2.3.221
10.1016/0305-0548(86)90048-1
10.1016/j.asoc.2019.105520
10.1109/TEVC.2007.892759
10.1016/j.omega.2012.03.007
10.1016/j.advengsoft.2016.01.008
10.1109/TCYB.2017.2710133
10.1016/j.knosys.2016.03.009
10.1007/s00170-007-1013-0
10.1016/j.eswa.2011.08.157
10.1007/978-3-030-26354-6_9
10.1016/j.eswa.2015.10.039
10.1504/IJHT.2018.090282
10.1109/MCI.2006.1597059
10.1109/TEVC.2004.826067
10.1016/j.future.2018.03.020
10.1002/0471739383
10.1162/EVCO_a_00009
10.1109/ACCESS.2018.2812701
10.1109/4235.996017
10.1109/TENCON.2017.8228329
10.1109/TCYB.2018.2834466
10.1109/CEC.2013.6557783
10.1109/TEVC.2003.810761
10.1016/j.neucom.2017.04.053
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References Srinivas (ref_9) 1994; 2
Mirjalili (ref_17) 2016; 95
Coello (ref_7) 2006; 1
Pradhan (ref_12) 2012; 39
Deb (ref_10) 2002; 6
Wei (ref_15) 2018; 6
ref_32
Bader (ref_25) 2011; 19
ref_31
ref_19
ref_18
Bosman (ref_33) 2003; 7
Zhu (ref_14) 2017; 47
Zhang (ref_23) 2007; 11
Hua (ref_34) 2018; 49
Liu (ref_2) 2013; 41
Slowik (ref_30) 2008; 37
Freitas (ref_8) 2004; 6
Liu (ref_24) 2016; 101
ref_22
ref_21
ref_20
Acharya (ref_3) 2018; 1
ref_1
Coello (ref_11) 2004; 8
ref_29
Mirjalili (ref_13) 2016; 47
ref_27
ref_26
Mafarja (ref_28) 2017; 260
ref_5
ref_4
Glover (ref_16) 1986; 13
ref_6
References_xml – volume: 6
  start-page: 77
  year: 2004
  ident: ref_8
  article-title: A Critical Review of Multi-Objective Optimization in Data Mining: A Position Paper
  publication-title: ACM SIGKDD Explor.
  doi: 10.1145/1046456.1046467
– ident: ref_22
  doi: 10.1145/2742642
– ident: ref_32
– ident: ref_5
  doi: 10.1002/9780470496916
– volume: 2
  start-page: 221
  year: 1994
  ident: ref_9
  article-title: Multiobjective optimization using nondominated sorting in genetic algorithms
  publication-title: Evol. Comput.
  doi: 10.1162/evco.1994.2.3.221
– volume: 13
  start-page: 533
  year: 1986
  ident: ref_16
  article-title: Future paths for integer programming and links to artificial intelligence
  publication-title: Comput. Oper. Res.
  doi: 10.1016/0305-0548(86)90048-1
– ident: ref_18
  doi: 10.1016/j.asoc.2019.105520
– volume: 11
  start-page: 712
  year: 2007
  ident: ref_23
  article-title: MOEA/D: A Multiobjective Evolutionary Algorithm Based on Decomposition
  publication-title: Trans. Evol. Comput.
  doi: 10.1109/TEVC.2007.892759
– volume: 41
  start-page: 369
  year: 2013
  ident: ref_2
  article-title: Multiobjective optimisation of production, distribution and capacity planning of global supply chains in the process industry
  publication-title: Omega
  doi: 10.1016/j.omega.2012.03.007
– volume: 95
  start-page: 51
  year: 2016
  ident: ref_17
  article-title: The Whale Optimization Algorithm
  publication-title: Adv. Eng. Softw.
  doi: 10.1016/j.advengsoft.2016.01.008
– ident: ref_21
– volume: 47
  start-page: 2794
  year: 2017
  ident: ref_14
  article-title: An External Archive-Guided Multiobjective Particle Swarm Optimization Algorithm
  publication-title: IEEE Trans. Cybern.
  doi: 10.1109/TCYB.2017.2710133
– volume: 101
  start-page: 90
  year: 2016
  ident: ref_24
  article-title: A new quantum-behaved particle swarm optimization based on cultural evolution mechanism for multiobjective problems
  publication-title: Knowl.-Based Syst.
  doi: 10.1016/j.knosys.2016.03.009
– volume: 37
  start-page: 657
  year: 2008
  ident: ref_30
  article-title: Multi-objective optimization of surface grinding process with the use of evolutionary algorithm with remembered Pareto set
  publication-title: Int. J. Adv. Manuf. Technol.
  doi: 10.1007/s00170-007-1013-0
– volume: 39
  start-page: 2956
  year: 2012
  ident: ref_12
  article-title: Solving multiobjective problems using cat swarm optimization
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2011.08.157
– ident: ref_1
  doi: 10.1007/978-3-030-26354-6_9
– ident: ref_4
– ident: ref_31
– volume: 47
  start-page: 106
  year: 2016
  ident: ref_13
  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: 1
  start-page: 102
  year: 2018
  ident: ref_3
  article-title: Cancer tissue sample classification using point symmetry-based clustering algorithm
  publication-title: Int. J. Humanit. Technol.
  doi: 10.1504/IJHT.2018.090282
– volume: 1
  start-page: 28
  year: 2006
  ident: ref_7
  article-title: Evolutionary multi-objective optimization: A historical view of the field
  publication-title: Comput. Intell. Mag.
  doi: 10.1109/MCI.2006.1597059
– volume: 8
  start-page: 256
  year: 2004
  ident: ref_11
  article-title: Handling multiple objectives with particle swarm optimization
  publication-title: Trans. Evol. Comput.
  doi: 10.1109/TEVC.2004.826067
– ident: ref_29
  doi: 10.1016/j.future.2018.03.020
– ident: ref_6
  doi: 10.1002/0471739383
– volume: 19
  start-page: 45
  year: 2011
  ident: ref_25
  article-title: HypE: An algorithm for fast hypervolume-based many-objective optimization
  publication-title: Evol. Comput.
  doi: 10.1162/EVCO_a_00009
– volume: 6
  start-page: 14710
  year: 2018
  ident: ref_15
  article-title: A Hybrid Multiobjective Particle Swarm Optimization Algorithm Based on R2 Indicator
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2018.2812701
– volume: 6
  start-page: 182
  year: 2002
  ident: ref_10
  article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II
  publication-title: Trans. Evol. Comput.
  doi: 10.1109/4235.996017
– ident: ref_27
  doi: 10.1109/TENCON.2017.8228329
– volume: 49
  start-page: 2758
  year: 2018
  ident: ref_34
  article-title: A Clustering-Based Adaptive Evolutionary Algorithm for Multiobjective Optimization with Irregular Pareto Fronts
  publication-title: IEEE Trans. Cybern.
  doi: 10.1109/TCYB.2018.2834466
– ident: ref_19
– ident: ref_26
  doi: 10.1109/CEC.2013.6557783
– volume: 7
  start-page: 174
  year: 2003
  ident: ref_33
  article-title: The balance between proximity and diversity in multiobjective evolutionary algorithms
  publication-title: IEEE Trans. Evol. Comput.
  doi: 10.1109/TEVC.2003.810761
– volume: 260
  start-page: 302
  year: 2017
  ident: ref_28
  article-title: Hybrid Whale Optimization Algorithm with simulated annealing for feature selection
  publication-title: Neurocomputing
  doi: 10.1016/j.neucom.2017.04.053
– ident: ref_20
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SubjectTerms Algorithms
Bioinformatics
Diversification
Genetic algorithms
Heuristic
Methods
Mopping
Multiple objective analysis
Objectives
Optimization algorithms
Pareto optimization
Population
Search methods
Solution space
Swarm intelligence
Tabu search
Title A Pareto-Based Hybrid Whale Optimization Algorithm with Tabu Search for Multi-Objective Optimization
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