{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T01:30:12Z","timestamp":1720747812501},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"22","license":[{"start":{"date-parts":[[2019,1,16]],"date-time":"2019-01-16T00:00:00Z","timestamp":1547596800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1007\/s00500-019-03756-3","type":"journal-article","created":{"date-parts":[[2019,1,16]],"date-time":"2019-01-16T03:11:09Z","timestamp":1547608269000},"page":"12001-12015","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A hybrid evolutionary-simplex search method to solve nonlinear constrained optimization problems"],"prefix":"10.1007","volume":"23","author":[{"given":"Alyaa","family":"Abdelhalim","sequence":"first","affiliation":[]},{"given":"Kazuhide","family":"Nakata","sequence":"additional","affiliation":[]},{"given":"Mahmoud","family":"El-Alem","sequence":"additional","affiliation":[]},{"given":"Amr","family":"Eltawil","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,1,16]]},"reference":[{"key":"3756_CR1","doi-asserted-by":"publisher","DOI":"10.1080\/0305215x.2017.1340945","author":"A Abdelhalim","year":"2017","unstructured":"Abdelhalim A, Nakata K, El-Alem M, Eltawil A (2017) Guided particle swarm optimization method to solve general nonlinear optimization problems. Eng Optim. \n                    https:\/\/doi.org\/10.1080\/0305215x.2017.1340945","journal-title":"Eng Optim"},{"key":"3756_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012064155-0\/50012-4","volume-title":"Introduction to optimum design","author":"JS Arora","year":"2004","unstructured":"Arora JS (2004) Introduction to optimum design. Elsevier, Amsterdam"},{"key":"3756_CR2","unstructured":"Baudin M (2010) Nelder\u2013Mead user\u2019s manual. \nConsortium Scilab, Digiteo. \n                    https:\/\/www.scilab.org\/sites\/default\/files\/neldermead.pdf"},{"key":"3756_CR4","volume-title":"Constrained optimization and lagrange multiplier methods","author":"DP Bertsekas","year":"2014","unstructured":"Bertsekas DP (2014) Constrained optimization and lagrange multiplier methods. Elsevier, Amsterdam"},{"key":"3756_CR5","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1287\/opre.9.2.169","volume":"9","author":"CW Carroll","year":"1961","unstructured":"Carroll CW (1961) The created response surface technique for optimizing nonlinear, restrained systems. Oper Res 9:169\u2013184. \n                    https:\/\/doi.org\/10.1287\/opre.9.2.169","journal-title":"Oper Res"},{"key":"3756_CR6","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1023\/A:1009626110229","volume":"6","author":"R Chelouah","year":"2000","unstructured":"Chelouah R, Siarry P (2000) A continuous genetic algorithm designed for the global optimization of multimodal functions. J Heuristics 6:191\u2013213. \n                    https:\/\/doi.org\/10.1023\/A:1009626110229","journal-title":"J Heuristics"},{"key":"3756_CR7","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1016\/S0377-2217(02)00401-0","volume":"148","author":"R Chelouah","year":"2003","unstructured":"Chelouah R, Siarry P (2003) Genetic and Nelder\u2013Mead algorithms hybridized for a more accurate global optimization of continuous multiminima functions. Eur J Oper Res 148:335\u2013348. \n                    https:\/\/doi.org\/10.1016\/S0377-2217(02)00401-0","journal-title":"Eur J Oper Res"},{"key":"3756_CR8","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1016\/j.ejor.2003.08.053","volume":"161","author":"R Chelouah","year":"2005","unstructured":"Chelouah R, Siarry P (2005) A hybrid method combining continuous tabu search and Nelder\u2013Mead simplex algorithms for the global optimization of multiminima functions. Eur J Oper Res 161:636\u2013654. \n                    https:\/\/doi.org\/10.1016\/j.ejor.2003.08.053","journal-title":"Eur J Oper Res"},{"key":"3756_CR9","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0166-3615(99)00046-9","volume":"41","author":"CA Coello","year":"2000","unstructured":"Coello CA (2000) Use of a self-adaptive penalty approach for engineering optimization problems. Comput Ind 41:113\u2013127. \n                    https:\/\/doi.org\/10.1016\/S0166-3615(99)00046-9","journal-title":"Comput Ind"},{"key":"3756_CR10","doi-asserted-by":"publisher","first-page":"1245","DOI":"10.1016\/S0045-7825(01)00323-1","volume":"191","author":"CA Coello","year":"2002","unstructured":"Coello CA (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191:1245\u20131287. \n                    https:\/\/doi.org\/10.1016\/S0045-7825(01)00323-1","journal-title":"Comput Methods Appl Mech Eng"},{"key":"3756_CR11","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1080\/03052150410001647966","volume":"36","author":"CA Coello","year":"2004","unstructured":"Coello CA, Becerra RL (2004) Efficient evolutionary optimization through the use of a cultural algorithm. Eng Optim 36:219\u2013236. \n                    https:\/\/doi.org\/10.1080\/03052150410001647966","journal-title":"Eng Optim"},{"key":"3756_CR12","unstructured":"Coello C, Carlos A (1999) A survey of constraint handling techniques used with evolutionary algorithms. Lania-RI-99-04, Lab Nac"},{"key":"3756_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/S0002-9904-1943-07818-4","volume":"49","author":"R Courant","year":"1943","unstructured":"Courant R (1943) Variational methods for the solution of problems of equilibrium and vibrations. Bull Am Math Soc 49:1\u201323","journal-title":"Bull Am Math Soc"},{"key":"3756_CR14","doi-asserted-by":"publisher","first-page":"1707","DOI":"10.1007\/s00500-012-0855-z","volume":"16","author":"W Deng","year":"2012","unstructured":"Deng W, Chen R, He B et al (2012) A novel two-stage hybrid swarm intelligence optimization algorithm and application. Soft Comput 16:1707\u20131722. \n                    https:\/\/doi.org\/10.1007\/s00500-012-0855-z","journal-title":"Soft Comput"},{"key":"3756_CR15","doi-asserted-by":"publisher","first-page":"701","DOI":"10.1007\/s00500-014-1294-9","volume":"19","author":"W Deng","year":"2014","unstructured":"Deng W, Zhao H, Liu J et al (2014) An improved CACO algorithm based on adaptive method and multi-variant strategies. Soft Comput 19:701\u2013713. \n                    https:\/\/doi.org\/10.1007\/s00500-014-1294-9","journal-title":"Soft Comput"},{"key":"3756_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2940-9","author":"W Deng","year":"2017","unstructured":"Deng W, Yao R, Zhao H et al (2017a) A novel intelligent diagnosis method using optimal LS-SVM with improved PSO algorithm. Soft Comput. \n                    https:\/\/doi.org\/10.1007\/s00500-017-2940-9","journal-title":"Soft Comput"},{"key":"3756_CR17","doi-asserted-by":"publisher","first-page":"288","DOI":"10.1016\/j.asoc.2017.06.004","volume":"59","author":"W Deng","year":"2017","unstructured":"Deng W, Zhao H, Yang X et al (2017b) Study on an improved adaptive PSO algorithm for solving multi-objective gate assignment. Appl Soft Comput J 59:288\u2013302. \n                    https:\/\/doi.org\/10.1016\/j.asoc.2017.06.004","journal-title":"Appl Soft Comput J"},{"key":"3756_CR18","doi-asserted-by":"publisher","first-page":"4387","DOI":"10.1007\/s00500-016-2071-8","volume":"21","author":"W Deng","year":"2017","unstructured":"Deng W, Zhao H, Zou L et al (2017c) A novel collaborative optimization algorithm in solving complex optimization problems. Soft Comput 21:4387\u20134398. \n                    https:\/\/doi.org\/10.1007\/s00500-016-2071-8","journal-title":"Soft Comput"},{"key":"3756_CR19","doi-asserted-by":"publisher","first-page":"35042","DOI":"10.1109\/ACCESS.2018.2834540","volume":"6","author":"W Deng","year":"2018","unstructured":"Deng W, Zhang S, Zhao H, Yang X (2018) A novel fault diagnosis method based on integrating empirical wavelet transform and fuzzy entropy for motor bearing. IEEE Access 6:35042\u201335056. \n                    https:\/\/doi.org\/10.1109\/ACCESS.2018.2834540","journal-title":"IEEE Access"},{"key":"3756_CR20","volume-title":"Optimization on microcomputers: the Nelder\u2013Mead simplex algorithm. New computing environements: microcomputers in large scale computing","author":"JE Dennis Jr","year":"1987","unstructured":"Dennis JE Jr, Woods DJ (1987) Optimization on microcomputers: the Nelder\u2013Mead simplex algorithm. New computing environements: microcomputers in large scale computing. SIAM, Philadelphia"},{"key":"3756_CR21","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1016\/j.ejor.2006.06.034","volume":"181","author":"S-KS Fan","year":"2007","unstructured":"Fan S-KS, Zahara E (2007) A hybrid simplex search and particle swarm optimization for unconstrained optimization. Eur J Oper Res 181:527\u2013548. \n                    https:\/\/doi.org\/10.1016\/j.ejor.2006.06.034","journal-title":"Eur J Oper Res"},{"key":"3756_CR22","doi-asserted-by":"publisher","first-page":"816","DOI":"10.1287\/mnsc.12.11.816","volume":"12","author":"AV Fiacco","year":"1966","unstructured":"Fiacco AV, McCormick GP (1966) Extensions of SUMT for nonlinear programming: equality constraints and extrapolation. Manag Sci 12:816\u2013828. \n                    https:\/\/doi.org\/10.1287\/mnsc.12.11.816","journal-title":"Manag Sci"},{"key":"3756_CR23","doi-asserted-by":"publisher","first-page":"1407","DOI":"10.1016\/j.amc.2006.07.134","volume":"186","author":"Q He","year":"2007","unstructured":"He Q, Wang L (2007a) A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization. Appl Math Comput 186:1407\u20131422. \n                    https:\/\/doi.org\/10.1016\/j.amc.2006.07.134","journal-title":"Appl Math Comput"},{"key":"3756_CR24","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.engappai.2006.03.003","volume":"20","author":"Q He","year":"2007","unstructured":"He Q, Wang L (2007b) An effective co-evolutionary particle swarm optimization for constrained engineering design problems. Eng Appl Artif Intell 20:89\u201399. \n                    https:\/\/doi.org\/10.1016\/j.engappai.2006.03.003","journal-title":"Eng Appl Artif Intell"},{"key":"3756_CR25","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1080\/921622054","volume":"18","author":"A Hedar","year":"2003","unstructured":"Hedar A, Fukushima M (2003) Minimizing multimodal functions by simplex coding genetic algorithm. Optim Methods Softw 18:265\u2013282","journal-title":"Optim Methods Softw"},{"key":"3756_CR26","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1115\/1.2919393","volume":"116","author":"BK Kannan","year":"1994","unstructured":"Kannan BK, Kramer SN (1994) An augmented lagrange multiplier based method for mixed integer discrete continuous optimization and its applications to mechanical design. J Mech Des 116:405. \n                    https:\/\/doi.org\/10.1115\/1.2919393","journal-title":"J Mech Des"},{"key":"3756_CR27","doi-asserted-by":"publisher","first-page":"6798","DOI":"10.1016\/j.eswa.2010.03.046","volume":"37","author":"AH Kayhan","year":"2010","unstructured":"Kayhan AH, Ceylan H, Tamer Ayvaz M, Gurarslan G (2010) PSOLVER: a new hybrid particle swarm optimization algorithm for solving continuous optimization problems. Expert Syst Appl 37:6798\u20136808. \n                    https:\/\/doi.org\/10.1016\/j.eswa.2010.03.046","journal-title":"Expert Syst Appl"},{"key":"3756_CR28","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1137\/S1052623497315203","volume":"10","author":"CT Kelley","year":"1999","unstructured":"Kelley CT (1999) Detection and remediation of stagnation in the Nelder\u2013Mead algorithm using a sufficient dcrease conditions. SIAM J Optim 10:43\u201355","journal-title":"SIAM J Optim"},{"key":"3756_CR29","doi-asserted-by":"crossref","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN\u201995\u2014international conference on neural networks. IEEE, pp 1942\u20131948","DOI":"10.1109\/ICNN.1995.488968"},{"key":"3756_CR30","volume-title":"Swarm intelligence","author":"J Kennedy","year":"2001","unstructured":"Kennedy J, Eberhart R, Shi Y (2001) Swarm intelligence. Morgan Kaufmann Publishers, San Francisco"},{"key":"3756_CR31","doi-asserted-by":"publisher","first-page":"1776","DOI":"10.1016\/j.camwa.2008.10.013","volume":"57","author":"X Kou","year":"2009","unstructured":"Kou X, Liu S, Zhang J, Zheng W (2009) Co-evolutionary particle swarm optimization to solve constrained optimization problems. Comput Math Appl 57:1776\u20131784","journal-title":"Comput Math Appl"},{"key":"3756_CR32","unstructured":"Liang JJ, Runarsson TP, Clerc M et al (2006) Problem definitions and evaluation criteria for the CEC 2006 special session on constrained real-parameter optimization problem definitions and evaluation criteria for the CEC 2006 special session on constrained real-parameter optimization. Evol Comput 251\u2013256. \n                    http:\/\/www3.ntu.edu.sg\/home\/epnsugan\/index_files\/CEC10-Const\/TR-April-2010.pdf"},{"key":"3756_CR33","doi-asserted-by":"publisher","first-page":"1263","DOI":"10.1016\/j.engappai.2013.02.002","volume":"26","author":"I Mazhoud","year":"2013","unstructured":"Mazhoud I, Hadj-Hamou K, Bigeon J, Joyeux P (2013) Particle swarm optimization for solving engineering problems: a new constraint-handling mechanism. Eng Appl Artif Intell 26:1263\u20131273. \n                    https:\/\/doi.org\/10.1016\/j.engappai.2013.02.002","journal-title":"Eng Appl Artif Intell"},{"key":"3756_CR34","first-page":"135","volume":"4","author":"Z Michalewicz","year":"1995","unstructured":"Michalewicz Z (1995) A survey of constraint handling techniques in evolutionary computation methods. Evol Program 4:135\u2013155","journal-title":"Evol Program"},{"key":"3756_CR35","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","volume":"7","author":"JA Nelder","year":"1965","unstructured":"Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7:308\u2013313. \n                    https:\/\/doi.org\/10.1093\/comjnl\/7.4.308","journal-title":"Comput J"},{"key":"3756_CR36","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/s10479-007-0224-y","volume":"156","author":"YG Petalas","year":"2007","unstructured":"Petalas YG, Parsopoulos KE, Vrahatis MN (2007) Memetic particle swarm optimization. Ann Oper Res 156:99\u2013127. \n                    https:\/\/doi.org\/10.1007\/s10479-007-0224-y","journal-title":"Ann Oper Res"},{"key":"3756_CR37","doi-asserted-by":"publisher","unstructured":"Pulido GT, Coello CaC (2004) A constraint-handling mechanism for particle swarm optimization. In: Proceedings of 2004 congress on evolutionary computation (IEEE Cat No04TH8753) 2, pp 1396\u20131403. \n                    https:\/\/doi.org\/10.1109\/cec.2004.1331060","DOI":"10.1109\/cec.2004.1331060"},{"key":"3756_CR38","unstructured":"Ropke S (2005) Heuristic and exact algorithms for vehicle routing problems. Unpubl Ph.D. thesis, Comput Sci Dep Univ Copenhagen 256"},{"key":"3756_CR39","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1109\/4235.873238","volume":"4","author":"TP Runarsson","year":"2000","unstructured":"Runarsson TP (2000) Stochastic ranking for constrained evolutionary optimization. IEEE Trans Evol Comput 4:284\u2013294. \n                    https:\/\/doi.org\/10.1109\/4235.873238","journal-title":"IEEE Trans Evol Comput"},{"key":"3756_CR40","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1145\/264029.264043","volume":"23","author":"P Siarry","year":"1997","unstructured":"Siarry P, Berthiau G, Durdin F, Haussy J (1997) Enhanced simulated annealing for globally minimizing functions of many-continuous variables. ACM Trans Math Softw 23:209\u2013228. \n                    https:\/\/doi.org\/10.1145\/264029.264043","journal-title":"ACM Trans Math Softw"},{"key":"3756_CR41","doi-asserted-by":"publisher","first-page":"1153","DOI":"10.1016\/j.ins.2010.11.033","volume":"181","author":"C Sun","year":"2011","unstructured":"Sun C, Zeng J, Pan J (2011) An improved vector particle swarm optimization for constrained optimization problems. Inf Sci (Ny) 181:1153\u20131163. \n                    https:\/\/doi.org\/10.1016\/j.ins.2010.11.033","journal-title":"Inf Sci (Ny)"},{"key":"3756_CR42","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1016\/j.advengsoft.2011.04.004","volume":"42","author":"PC Wang","year":"2011","unstructured":"Wang PC, Shoup TE (2011) Parameter sensitivity study of the Nelder\u2013Mead simplex method. Adv Eng Softw 42:529\u2013533. \n                    https:\/\/doi.org\/10.1016\/j.advengsoft.2011.04.004","journal-title":"Adv Eng Softw"},{"key":"3756_CR43","doi-asserted-by":"publisher","first-page":"1501","DOI":"10.1002\/nme.2451","volume":"77","author":"Y Wang","year":"2009","unstructured":"Wang Y, Cai Z, Zhou Y (2009) Accelerating adaptive trade-off model using shrinking space technique for constrained evolutionary optimization. Int J Numer Methods Eng 77:1501\u20131534. \n                    https:\/\/doi.org\/10.1002\/nme.2451","journal-title":"Int J Numer Methods Eng"},{"key":"3756_CR44","doi-asserted-by":"publisher","first-page":"258","DOI":"10.1016\/j.jocs.2013.05.011","volume":"5","author":"A Yadav","year":"2014","unstructured":"Yadav A, Deep K (2014) An efficient co-swarm particle swarm optimization for non-linear constrained optimization. J Comput Sci 5:258\u2013268. \n                    https:\/\/doi.org\/10.1016\/j.jocs.2013.05.011","journal-title":"J Comput Sci"},{"key":"3756_CR45","doi-asserted-by":"publisher","DOI":"10.1002\/9780470640425","volume-title":"Engineering optimization: an introduction with metaheuristic applications","author":"X-S Yang","year":"2010","unstructured":"Yang X-S (2010) Engineering optimization: an introduction with metaheuristic applications. Wiley, Hoboken"},{"key":"3756_CR46","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/978-3-642-22185-9_6","volume-title":"Networked Digital Technologies","author":"Xin-She Yang","year":"2011","unstructured":"Yang X-S, Deb S, Fong S (2011) Accelerated particle swarm optimization and support vector machine for business optimization and applications. In: Fong S (ed) Networked Digital Technologies. NDT 2011. Communications in Computer and Information Science, vol 136. Springer, Berlin, Heidelberg"},{"key":"3756_CR47","doi-asserted-by":"publisher","first-page":"3880","DOI":"10.1016\/j.eswa.2008.02.039","volume":"36","author":"E Zahara","year":"2009","unstructured":"Zahara E, Kao Y-T (2009) Hybrid Nelder\u2013Mead simplex search and particle swarm optimization for constrained engineering design problems. Expert Syst Appl 36:3880\u20133886. \n                    https:\/\/doi.org\/10.1016\/j.eswa.2008.02.039","journal-title":"Expert Syst Appl"},{"key":"3756_CR48","doi-asserted-by":"publisher","DOI":"10.3390\/e19010014","author":"H Zhao","year":"2017","unstructured":"Zhao H, Sun M, Deng W, Yang X (2017) A new feature extraction method based on EEMD and multi-scale fuzzy entropy for motor bearing. Entropy. \n                    https:\/\/doi.org\/10.3390\/e19010014","journal-title":"Entropy"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-019-03756-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-019-03756-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-019-03756-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,15]],"date-time":"2020-01-15T19:08:41Z","timestamp":1579115321000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-019-03756-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,16]]},"references-count":48,"journal-issue":{"issue":"22","published-print":{"date-parts":[[2019,11]]}},"alternative-id":["3756"],"URL":"https:\/\/doi.org\/10.1007\/s00500-019-03756-3","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1,16]]},"assertion":[{"value":"16 January 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The Authors listed in this article declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}