Thuật toán tìm đường được cải tiến cho các bài toán tối ưu kỹ thuật

Chandrawat RK, Kumar R, Garg BP, Dhiman G, Kumar S (2017) An analysis of modeling and optimization production cost through fuzzy linear programming problem with symmetric and right angle triangular fuzzy number. In: Proceedings of Sixth International Conference on Soft Computing for Problem Solving. Singapore, 2017, pp 197–211 citation_title=A fuzzy-lp approach in time series forecasting; citation_inbook_title=Pattern recognition and machine intelligence; citation_publication_date=2017; citation_pages=243-253; citation_id=CR2; citation_author=P Singh; citation_author=G Dhiman; citation_publisher=Springer International Publishing citation_journal_title=Mach Learn; citation_title=Genetic algorithms and machine learning; citation_author=DE Goldberg, JH Holland; citation_volume=3; citation_publication_date=1988; citation_pages=95-99; citation_id=CR3 citation_journal_title=J Glob Optim; citation_title=Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces; citation_author=R Storn, K Price; citation_volume=11; citation_publication_date=1997; citation_pages=341-359; citation_id=CR4 citation_journal_title=IEEE Trans Evol Comput; citation_title=Evolutionary programming made faster; citation_author=X Yao, Y Liu, G Lin; citation_volume=3; citation_publication_date=1999; citation_pages=82-102; citation_id=CR5 citation_journal_title=Adv Eng Softw; citation_title=A new optimization method: big bang–big crunch; citation_author=OK Erol, I Eksin; citation_volume=37; citation_publication_date=2006; citation_pages=106-111; citation_id=CR6 citation_journal_title=Inform Sci; citation_title=GSA: a gravitational search algorithm; citation_author=E Rashedi, H Nezamabadi-Pour, S Saryazdi; citation_volume=179; citation_publication_date=2009; citation_pages=2232-2248; citation_id=CR7 citation_journal_title=Acta Mech; citation_title=A novel heuristic optimization method: charged system search; citation_author=A Kaveh, S Talatahari; citation_volume=213; citation_publication_date=2010; citation_pages=267-289; citation_id=CR8 citation_journal_title=Prog Electromagn Res; citation_title=Central force optimization; citation_author=RA Formato; citation_volume=77; citation_publication_date=2007; citation_pages=425-491; citation_id=CR9 citation_journal_title=Expert Syst Appl; citation_title=ACROA: artificial chemical reaction optimization algorithm for global optimization; citation_author=B Alatas; citation_volume=38; citation_publication_date=2011; citation_pages=13170-13180; citation_id=CR10 citation_journal_title=Inf Sci; citation_title=Black hole: A new heuristic optimization approach for data clustering; citation_author=A Hatamlou; citation_volume=222; citation_publication_date=2013; citation_pages=175-184; citation_id=CR11 citation_journal_title=Comput Struct; citation_title=A new meta-heuristic method: ray optimization; citation_author=A Kaveh, M Khayatazad; citation_volume=112; citation_publication_date=2012; citation_pages=283-294; citation_id=CR12 Du H, Wu X, Zhuang J (2006) Small-world optimization algorithm for function optimization. In: International Conference on Natural Computation, Springer, 2006, pp. 264–273. citation_journal_title=Int J Comput Sci Eng; citation_title=Principal components analysis by the galaxy-based search algorithm: a novel metaheuristic for continuous optimisation; citation_author=H Shah-Hosseini; citation_volume=6; citation_publication_date=2011; citation_pages=132-140; citation_id=CR14 Moghaddam FF, Moghaddam RF, Cheriet M (2012) Curved space optimization: a random search based on general relativity theory, 2012, arXiv preprint arXiv:12082214. Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN’95—International Conference on Neural Networks, 1995, 4: 1942–1948 citation_journal_title=J Glob Optim; citation_title=A powerful and efficient algorithm for numerical function optimization: artificial bee colony algorithm; citation_author=D Karaboga, B Basturk; citation_volume=39; citation_publication_date=2007; citation_pages=459-471; citation_id=CR17 citation_journal_title=IEEE Trans Syst Man Cybern; citation_title=Ant system: optimization by a colony of cooperating agents; citation_author=M Dorigo, V Maniezzo, A Colorni; citation_volume=26; citation_publication_date=1996; citation_pages=29-41; citation_id=CR18 Yang X-S (2009) Firefly algorithms for multimodal optimization. In: International Symposium on stochastic algorithms, Springer, 2009, pp 169–178 citation_journal_title=Commun Nonlinear Sci Numer Simul; citation_title=Krill herd: a new bio-inspired optimization algorithm; citation_author=AH Gandomi, AH Alavi; citation_volume=17; citation_publication_date=2012; citation_pages=4831-4845; citation_id=CR20 Yang X-S (2010) A new metaheuristic bat-inspired algorithm. In: Nature Inspired Cooperative Strategies for Optimization, NICSO 2010, Springer, 2010, pp 65–74 citation_journal_title=Engi Comput; citation_title=Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems; citation_author=AH Gandomi, X-S Yang, AH Alavi; citation_volume=29; citation_publication_date=2013; citation_pages=17-35; citation_id=CR22 citation_journal_title=Appl Soft Comput; citation_title=Artificial algae algorithm (aaa) for nonlinear global optimization; citation_author=SA Uymaz, G Tezel, E Yel; citation_volume=31; citation_publication_date=2015; citation_pages=153-171; citation_id=CR23 citation_journal_title=Expert Syst Appl; citation_title=TSA: Tree-seed algorithm for continuous optimization; citation_author=MS Kiran; citation_volume=42; citation_publication_date=2015; citation_pages=6686-6698; citation_id=CR24 citation_journal_title=Adv Eng Soft; citation_title=Grey wolf optimizer; citation_author=S Mirjalili, SM Mirjalili, A Lewis; citation_volume=69; citation_publication_date=2014; citation_pages=46-61; citation_id=CR25 citation_journal_title=Appl Soft Comput; citation_title=A social spider algorithm for global optimization; citation_author=J James, VO Li; citation_volume=30; citation_publication_date=2015; citation_pages=614-627; citation_id=CR26 citation_journal_title=Knowl-Based Syst; citation_title=Moth-flame optimization algorithm: a novel nature-inspired heuristic paradigm; citation_author=S Mirjalili; citation_volume=89; citation_publication_date=2015; citation_pages=228-249; citation_id=CR27 citation_journal_title=Adv Eng Softw; citation_title=Salp swarm algorithm: a bio-inspired optimizer for engineering design problems; citation_author=S Mirjalili, AH Gandomi, SZ Mirjalili, S Saremi, H Faris, SM Mirjalili; citation_volume=114; citation_publication_date=2017; citation_pages=163-191; citation_id=CR28 citation_journal_title=Adv Eng Softw; citation_title=The whale optimization algorithm; citation_author=S Mirjalili, A Lewis; citation_volume=95; citation_publication_date=2015; citation_pages=51-67; citation_id=CR29 citation_journal_title=Adv Eng Softw; citation_title=A new optimization method: dolphin echolocation; citation_author=A Kaveh, N Farhoudi; citation_volume=59; citation_publication_date=2013; citation_pages=53-70; citation_id=CR30 Chu S-C, Tsai P-W, Pan J-S (2006) CaT swarm optimization, in: Pacific Rim International Conference on Artificial Intelligence, Springer, 2006, pp 854–858 citation_journal_title=J Comput Des Eng; citation_title=Lion optimization algorithm (LOA): a nature-inspired metaheuristic algorithm; citation_author=M Yazdani, F Jolai; citation_volume=3; citation_publication_date=2016; citation_pages=24-36; citation_id=CR32 Su R, Gui L, Fan Z (2009) Topology and sizing optimization of truss structures using adaptive genetic algorithm with node matrix encoding. In: Fifth International Conference on natural computation IEEE, 2009 citation_journal_title=Compos Struct; citation_title=A metamodel based on non-uniform rational basis spline hyper-surfaces for optimisation of composite structures; citation_author=Y Audoux, M Montemurro, J Pailhès; citation_volume=247; citation_publication_date=2020; citation_pages=112439; citation_id=CR34 citation_journal_title=J Glob Optim; citation_title=BIANCA: a genetic algorithm to solve hard combinatorial optimisation problems in engineering; citation_author=A Vincenti, MR Ahmadian, P Vannucci; citation_volume=48; citation_publication_date=2010; citation_pages=399-421; citation_id=CR35 Vincenti A (2002) Conception et optimisation de composites par mèthode polaire et algorithmes génétiques, PhD Thesis,Université de Bourgogne, France, (2002) citation_journal_title=Mech Compos Mater; citation_title=Design of the elastic properties of laminates with a minimum number of plies; citation_author=M Montemurro, A Vincenti, P Vannucci; citation_volume=48; citation_issue=4; citation_publication_date=2012; citation_pages=369-390; citation_id=CR37 Montemurro M (2012) Optimal design of advanced engineering modular systems through a new genetic approach. Ph.D. Thesis, Université Pierre et Marie Curie Paris VI (2012) citation_journal_title=J Optim Theory Appl; citation_title=A general hybrid optimization strategy for curve fitting in the non-uniform rational basis spline framework; citation_author=G Costa, M Montemurro, J Pailhès; citation_volume=176; citation_issue=1; citation_publication_date=2018; citation_pages=1-27; citation_id=CR39 citation_journal_title=J Opt Theory Appl; citation_title=A two level procedure for the global optimum design of composite modular structures—application to the design of an aircraft wing. Part 1: theoretical formulation; citation_author=M Montemurro, A Vincenti, P Vannucci; citation_volume=155; citation_issue=1; citation_publication_date=2012; citation_pages=1-23; citation_id=CR40 citation_journal_title=J Opt Theory Appl; citation_title=A two level procedure for the global optimum design ofcomposite modular structures—application to the design of an aircraft wing. Part 2: numerical aspects and examples; citation_author=M Montemurro, A Vincenti, P Vannucci; citation_volume=155; citation_issue=1; citation_publication_date=2012; citation_pages=24-53; citation_id=CR41 citation_journal_title=Comput Methods Appl Mech Eng; citation_title=Non-uniform rational basis spline hyper-surfaces for metamodelling; citation_author=Y Audoux, M Montemurro, J Pailhès; citation_volume=364; citation_publication_date=2020; citation_pages=112918; citation_id=CR42 citation_journal_title=J Optim Theory Appl; citation_title=A two-level procedure for the global optimum design of composite modular structures-application to the design of an aircraft wing: part 2: numerical aspects and examples; citation_author=M Montemurro, A Vincenti, P Vannucci; citation_publication_date=2012; citation_doi=10.1007/s10957-012-0070-1; citation_id=CR43 citation_title=A new paradigm for the optimum design of variable angle tow laminates. Variational analysis and aerospace engineering; citation_publication_date=2016; citation_id=CR44; citation_author=M Montemurro; citation_author=A Catapano; citation_publisher=Springer International Publishing citation_journal_title=IEEE Trans Evolut Comput; citation_title=The exploration/exploitation tradeoff in dynamic cellular genetic algorithms; citation_author=E Alba, B Dorronsoro; citation_volume=9; citation_issue=2; citation_publication_date=2005; citation_pages=126-142; citation_id=CR45 Olorunda O, Engelbrecht AP (2008) Measuring exploration/exploitation in particle swarms using swarm diversity. In: IEEE Congr. Evolut. Comput. 2008, pp 1128–1134 citation_journal_title=Comput Oper Res; citation_title=Hybrid metaheuristics with evolutionary algorithms specializing in intensifification and diversifification: overview and progress report; citation_author=M Lozano, C Garcia-Martinez; citation_volume=37; citation_issue=3; citation_publication_date=2010; citation_pages=481-497; citation_id=CR47 citation_journal_title=IEEE Trans Evol Comput; citation_title=No free lunch theorems for optimization; citation_author=DH Wolpert, WG Macready; citation_volume=1; citation_publication_date=1997; citation_pages=67-82; citation_id=CR48 citation_journal_title=Appl Soft Comput; citation_title=A new meta-heuristic optimizer: pathfinder algorithm; citation_author=H Yapici, N Cetinkaya; citation_volume=78; citation_publication_date=2019; citation_pages=545-568; citation_id=CR49 Mirjalili S, Hashim SZM (2010) A new hybrid PSOGSA algorithm for function optimization, In: Computer and Information Application, ICCIA, 2010 International Conference on, IEEE, 2010, pp 374–377 citation_journal_title=Soft Comput; citation_title=Auto-tuning strategy for evolutionary algorithms: balancing between exploration and exploitation; citation_author=L Lin, M Gen; citation_volume=13; citation_publication_date=2009; citation_pages=157-168; citation_id=CR51 citation_journal_title=J Compar Psychol; citation_title=Wild female African elephants (Loxodonta africana) exhibit personality traits of leadership and social integration; citation_author=PC Lee, CJ Moss; citation_volume=126; citation_publication_date=2012; citation_pages=224; citation_id=CR52 citation_journal_title=Canad J Zool; citation_title=Lead-ership behavior in relation to dominance and reproductive status in gray wolves, Canis lupus; citation_author=RO Peterson, AK Jacobs, TD Drummer, LD Mech, DW Smith; citation_volume=80; citation_publication_date=2002; citation_pages=1405-1412; citation_id=CR53 citation_journal_title=J Theoret Biol; citation_title=Collective memory and spatial sorting in animal groups; citation_author=ID Couzin, J Krause, R James, GD Ruxton, NR Franks; citation_volume=218; citation_publication_date=2002; citation_pages=1-11; citation_id=CR54 citation_journal_title=Phys Rep; citation_title=Collective motion; citation_author=T Vicsek, A Zafeiris; citation_volume=517; citation_publication_date=2012; citation_pages=71-140; citation_id=CR55 citation_journal_title=Phys A; citation_title=Collective motion of groups of self-propelled particles following interacting leaders; citation_author=B Ferdinandy, K Ozogány, T Vicsek; citation_volume=479; citation_publication_date=2017; citation_pages=467-477; citation_id=CR56 citation_journal_title=Knowl-Based Syst; citation_title=Emperor penguin optimizer: a bio-inspired algorithm for engineering problems; citation_author=D Gaurav, K Vijay; citation_volume=159; citation_publication_date=2018; citation_pages=20-50; citation_id=CR57 citation_journal_title=Simulation; citation_title=Constrained optimization via genetic algorithms; citation_author=A Homaifar, CX Qi, SH Lai; citation_volume=62; citation_issue=4; citation_publication_date=1994; citation_pages=242-253; citation_id=CR58 Morales AK, Quezada CV (1998) A universal eclectic algorithm for constrained optimization. In: Proceedings 6-th European Congress on Intelligent Techniques Soft Computing, 1998, pp 518–522 citation_title=Problem-independent handling of constraints by use of metric penalty functions; citation_publication_date=1996; citation_id=CR60; citation_author=F Hoffmeister; citation_author=J Sprave; citation_publisher=The MIT Press Houck CR, Joines JA (1994) On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GA’s. In: Proceedings of the first IEEE conference on evolutionary computation. IEEE, Piscataway, pp 578–584 Kazarlis S, Petridis V (1998) Varying fitness functions in genetic algorithms: studying the rate of increase of the dynamic penalty terms. In: Parallel Problem Solving from Nature—PPSN V. Springer Berlin Heidelberg, 1998. citation_journal_title=Operations Research; citation_title=A genetic algorithm for the multiple-choice integer program; citation_author=AB Hadj-Alouane, JC Bean; citation_volume=45; citation_issue=1; citation_publication_date=1997; citation_pages=92-101; citation_id=CR63 citation_journal_title=J Mech Des; citation_title=Nonlinear integer and discrete programming in mechanical design optimization; citation_author=E Sandgren; citation_volume=112; citation_publication_date=1990; citation_pages=223-229; citation_id=CR64 citation_journal_title=Appl Soft Comput; citation_title=An intensify Harris Hawks optimizer for numerical and engineering optimization problems; citation_author=VK Kamboj; citation_volume=89; citation_publication_date=2019; citation_pages=106018; citation_id=CR65 Mezura-Montes E, Coello CAC (2005) Useful infeasible solutions in engineering optimization with evolutionary algorithms. In: Mexican International Conference on artificial intelligence, Springer, 2005, pp 652–662. Deb K, Pratap A, Moitra S (2000) Mechanical component design for multiple objectives using elitist non-dominated sorting ga. In: International Conference on parallel problem solving from nature, Springer, 2000, pp 859–868. citation_journal_title=Appl Soft Comput; citation_title=Mine blast algorithm: a new population based algorithm for solving constrained engineering optimization problems; citation_author=A Sadollah, A Bahreininejad, H Eskandar, M Hamdi; citation_volume=13; citation_issue=5; citation_publication_date=2013; citation_pages=2592-2612; citation_id=CR68 citation_journal_title=Appl Intell; citation_title=Optimal generation scheduling and dispatch of thermal generating units considering impact of wind penetration using hGWO-RES algorithm; citation_author=A Bhadoria, VK Kamboj; citation_volume=49; citation_publication_date=2018; citation_pages=1517-1547; citation_id=CR69 citation_title=Optimization in pre-contract ship design; citation_publication_date=1973; citation_id=CR70; citation_author=H Nowacki; citation_publisher=Elsevier citation_journal_title=Eng Comput; citation_title=Lévy flight trajectory-based whale optimization algorithm for engineering optimization; citation_author=Y Zhou, Y Ling, Q Luo; citation_volume=35; citation_issue=7; citation_publication_date=2018; citation_pages=2406-2428; citation_id=CR71 citation_journal_title=J Struct Eng; citation_title=Survey of discrete variable optimization for structural design; citation_author=P Thanedar, G Vanderplaats; citation_volume=121; citation_publication_date=1995; citation_pages=301-306; citation_id=CR72 citation_title=Evolutionary algorithms for single and multicriteria design optimization Studies in fuzzyness and soft computing; citation_publication_date=2002; citation_id=CR73; citation_author=A Osyczka; citation_publisher=Springer citation_title=Moth-flame optimization (MFO) algorithm; citation_inbook_title=Advanced optimization by nature-inspired algorithms. Studies in computational intelligence; citation_publication_date=2017; citation_id=CR74; citation_author=M Bahrami; citation_author=O Bozorg-Haddad; citation_author=X Chu; citation_publisher=Springer citation_journal_title=Knowl-Based Syst; citation_title=SCA: A sine cosine algorithm for solving optimization problems; citation_author=S Mirjalili; citation_volume=15; citation_publication_date=2016; citation_pages=120-133; citation_id=CR75 citation_journal_title=Appl Math Model; citation_title=Passing vehicle search (PVS): a novel metaheuristic algorithm; citation_author=P Savsani, V Savsani; citation_volume=40; citation_publication_date=2016; citation_pages=3951-3978; citation_id=CR76 Zhao C, Zhou Y (2016) A complex encoding flower pollination algorithm for global numerical optimization. In: International Conference on intelligent computing. Springer, Cham, 2016, pp 667–678 citation_journal_title=Eng Appl Artif Intell; citation_title=An effective co-evolutionary particle swarm optimization for constrained engineering design problems; citation_author=Q He, L Wang; citation_volume=20; citation_issue=1; citation_publication_date=2007; citation_pages=89-99; citation_id=CR78 citation_journal_title=Future Gener Comput Syst; citation_title=Harris hawks optimization: algorithm and applications; citation_author=AA Heidari; citation_volume=97; citation_publication_date=2019; citation_pages=849-872; citation_id=CR79 citation_journal_title=Comput Struct; citation_title=Water evaporation optimization: a novel physically inspired optimization algorithm; citation_author=A Kaveh, T Bakhshpoori; citation_volume=167; citation_publication_date=2016; citation_pages=69-85; citation_id=CR80 Xu Z, Hu Z, Heidari AA, Wang M, Cai X (2020) Orthogonally-designed adapted grasshopper optimization: a comprehensive analysis. Expert Syst Appl, 113282 citation_journal_title=Knowl-Based Syst; citation_title=Container throughput forecasting using a novel hybrid learning method with error correction strategy; citation_author=P Du; citation_volume=182; citation_publication_date=2019; citation_pages=104853.1-104853.12; citation_id=CR82 citation_journal_title=Appl Math Comput; citation_title=A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization; citation_author=Q He, L Wang; citation_volume=186; citation_publication_date=2007; citation_pages=1407-1422; citation_id=CR83 Wang R, Zhou Y. Flower pollination algorithm with dimension by dimension improvement. Math Probl Eng , 2014, 481791, 9 pages. Yao W (2014) Genetic quantum particle swarm optimization algorithm for solving traveling salesman problems. In: Fuzzy information & engineering and operations research & management. Springer, Berlin, pp 67–74 citation_journal_title=IEEE Access; citation_title=Enhanced metaheuristic optimization: wind-driven fower pollination algorithm; citation_author=M Lei, Y Zhou, Q Luo; citation_volume=7; citation_publication_date=2019; citation_pages=111439-111465; citation_id=CR86 citation_journal_title=Eng Opt; citation_title=Multiple trial vectors in differential evolution for engineering design; citation_author=E Mezura-Montes; citation_volume=39; citation_issue=5; citation_publication_date=2007; citation_pages=567-589; citation_id=CR87 citation_journal_title=Comput Methods Appl Mech Eng; citation_title=The automatic dynamic penalisation method (ADP) for handling constraints with genetic algorithms; citation_author=M Montemurro, A Vincenti, P Vannucci; citation_volume=256; citation_publication_date=2013; citation_pages=70-87; citation_id=CR88 citation_journal_title=IEEE Trans Power Appar Syst; citation_title=A branch-and-bound algorithm for unit commitment; citation_author=AI Cohen, M Yoshimura; citation_volume=102; citation_publication_date=1983; citation_pages=444-451; citation_id=CR89 citation_journal_title=IEEE Trans Power Syst; citation_title=Implementation of a Lagrangian relaxation based unit commitment problem; citation_author=S Virmani, EC Adrian, K Imhof; citation_volume=4; citation_issue=4; citation_publication_date=1989; citation_pages=1373-1380; citation_id=CR90 citation_journal_title=Eng Appl Artif Intell; citation_title=Tunicate swarm algorithm: a new bio-inspired based metaheuristic paradigm for global optimization; citation_author=A Satnam Kaur, LK Awasthi, AL Sangal; citation_volume=90; citation_publication_date=2020; citation_pages=103541.1-103541.29; citation_id=CR91 citation_journal_title=Appl Soft Comput; citation_title=Hybridizing particle swarm optimization with diffierential evolution for constrained numerical and engineering optimization; citation_author=H Liu, Z Cai, Y Wang; citation_volume=10; citation_publication_date=2010; citation_pages=629-640; citation_id=CR92 citation_journal_title=Eng Comput; citation_title=Sine cosine grey wolf optimizer to solve engineering design problems; citation_author=S Gupta, K Deep, H Moayedi, LK Foong, A Assad; citation_publication_date=2020; citation_doi=10.1007/s00366-020-00996-y; citation_id=CR93 citation_journal_title=Comput Oper Res; citation_title=Water wave optimization: a new nature-inspired metaheuristic; citation_author=YJ Zheng; citation_volume=55; citation_publication_date=2015; citation_pages=1-11; citation_id=CR94 Montes E, Reyes JV, Coello CAC (2006) Modified differential evolution for constrained optimization. In: IEEE congress on evolutionary computation. CEC; 2006, pp 25–32 Montes E, Coello CAC, Reyes JV (2006) Increasing successful offspring and diversity in differential evolution for engineering design. In: Proceedings of the Seventh International Conference on adaptive computing in design and manufacture. pp 131–139 citation_journal_title=Struct Multidisc Optim; citation_title=Constrained optimization based on hybrid evolutionary algorithm and adaptive constraint handling technique; citation_author=Y Wang, Z Cai, Y Zhou, Z Fan; citation_volume=37; citation_publication_date=2009; citation_pages=395-413; citation_id=CR97 citation_journal_title=Eng Comput; citation_title=Hybrid metaheuristic algorithm using butterfly and flower pollination base on mutualism mechanism for global optimization problems; citation_author=Z Wang, Q Luo, Y Zhou; citation_publication_date=2020; citation_doi=10.1007/s00366-020-01025-8; citation_id=CR98 citation_journal_title=J Mech Des; citation_title=An augmented Lagrange multiplier based method for mixed integer discrete continuous optimization and its applications to mechanical design; citation_author=BK Kannan, SN Kramer; citation_volume=116; citation_publication_date=1994; citation_pages=405-411; citation_id=CR99 citation_journal_title=Comput Struct; citation_title=Water cycle algorithm—a novel metaheuristic optimization method for solving constrained engineering optimization problems; citation_author=E Hadi; citation_volume=110; citation_publication_date=2012; citation_pages=151-166; citation_id=CR100 citation_journal_title=Neural Comput Appl; citation_title=Multi-verse optimizer: a nature-inspired algorithm for global optimization; citation_author=S Mirjalili, SM Mirjalili, A Hatamlou; citation_volume=27; citation_issue=2; citation_publication_date=2016; citation_pages=495-513; citation_id=CR101 citation_journal_title=Inform Sci; citation_title=Differential evolution with dynamic stochastic selection for constrained optimization; citation_author=M Zhang, W Luo, X Wang; citation_volume=178; citation_publication_date=2008; citation_pages=3043-3074; citation_id=CR102 citation_journal_title=Adv Eng Softw; citation_title=Grasshopper optimization algorithm: theory and application; citation_author=S Saremi, S Mirjalili, A Lewis; citation_volume=105; citation_publication_date=2017; citation_pages=30-47; citation_id=CR103 citation_journal_title=Adv Eng Softw; citation_title=Salp swarm algorithm: a bio-inspired optimizer for engineering design problems; citation_author=S Mirjalili; citation_volume=114; citation_publication_date=2017; citation_pages=163-191; citation_id=CR104 citation_journal_title=IEEE Trans Sustain Energy; citation_title=A new MPPT design using grey wolf optimization technique f or photovoltaic system under partial shading conditions; citation_author=S Mohanty, B Subudhi, PK Ray; citation_volume=7; citation_issue=1; citation_publication_date=2016; citation_pages=181-188; citation_id=CR105 Kvalie D (1967) Optimization of plane elastic grillages, (Ph.D. thesis), Norges Teknisk Naturvitenskapelige Universitet, Norway, 1967 Van Veldhuizen DA (1999, Multiobjective evolutionary algorithms: classifications, analyzes, and new innovations, (Ph.D dissertation), Dept. Elec. Comput. Eng. Graduate School of Eng. Air Force Inst. Technol. Wright-Patterson AFB, OH, May 1999. citation_title=Optimum design concepts: optimality conditions Introduction to optimum design; citation_publication_date=2004; citation_id=CR108; citation_author=J Arora; citation_publisher=Elsevier citation_journal_title=Int J Numer Methods Eng; citation_title=A study of mathematical programming methods for structural optimization. Part I: theory; citation_author=AD Belegundu, JS Arora; citation_volume=21; citation_publication_date=1985; citation_pages=1583-1599; citation_id=CR109 citation_journal_title=Appl Math Comput; citation_title=An improved harmony search algorithm for solving optimization problems; citation_author=M Mahdavi, M Fesanghary, E Damangir; citation_volume=188; citation_publication_date=2007; citation_pages=1567-1579; citation_id=CR110 citation_journal_title=Appl Math Comput; citation_title=An effective co-evolutionary differential evolution for constrained optimization; citation_author=F Huang, L Wang, Q He; citation_volume=186; citation_issue=1; citation_publication_date=2007; citation_pages=340-356; citation_id=CR111 Ragsdell KM, Phillips DT (1976) Optimal design of a class of welded structures using geometric programming, pp 1021-1025 citation_journal_title=Comput Struct; citation_title=A new structural optimization method based on the harmony search algorithm; citation_author=KS Lee, ZW Geem; citation_volume=82; citation_publication_date=2004; citation_pages=781-798; citation_id=CR113 citation_journal_title=Eng Appl Artif Intell; citation_title=Satin bowerbird optimizer: a new optimization algorithm to optimize ANFIS for software development efort estimation; citation_author=SHS Moosavi, VK Bardsiri; citation_volume=60; citation_publication_date=2017; citation_pages=1-15; citation_id=CR114 citation_journal_title=IEEE Access; citation_title=QSSA: quantum evolutionary salp swarm algorithm for mechanical design; citation_author=R Chen; citation_volume=7; citation_publication_date=2019; citation_pages=145582-145595; citation_id=CR115 citation_journal_title=J Intell Manuf; citation_title=Parallel chaotic local search enhanced harmony search algorithm for engineering design optimization; citation_author=J Yi, X Li, C-H Chu, L Gao; citation_volume=30; citation_publication_date=2019; citation_pages=405-428; citation_id=CR116 citation_journal_title=Expert Syst Appl; citation_title=Hybrid Nelder-Mead simplex search and particle swarm optimization for constrained engineering design problems; citation_author=E Zahara, Y-T Kao; citation_volume=36; citation_publication_date=2009; citation_pages=3880-3886; citation_id=CR117 citation_journal_title=Complex Intell Syst; citation_title=A hybrid SA-MFO algorithm for function optimization and engineering design problems; citation_author=GI Sayed, AE Hassanien; citation_volume=4; citation_publication_date=2018; citation_pages=195-212; citation_id=CR118 citation_journal_title=Appl Soft Comput J; citation_title=Particle swarm optimization with 1188 an aging leader and challengers algorithm for the solution of optimal power 1189 flow problem; citation_author=RP Singh, V Mukherjee, SP Ghoshal; citation_volume=2016; citation_issue=40; citation_publication_date=2016; citation_pages=161-177; citation_id=CR119 citation_journal_title=Comput Aided Design; citation_title=Teaching–learning based optimization: a novel method for constrained mechanical design optimization problems; citation_author=RV Rao, VJ Savsani, DP Vakharia; citation_volume=43; citation_issue=3; citation_publication_date=2011; citation_pages=303-315; citation_id=CR120 citation_journal_title=Internet J Numer Methods Eng; citation_title=Structural optimization using a new local approximation method; citation_author=H Chickermane, HC Gea; citation_volume=39; citation_issue=5; citation_publication_date=2002; citation_pages=82-846; citation_id=CR121