{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T03:00:55Z","timestamp":1772679655635,"version":"3.50.1"},"reference-count":71,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2020,9,17]],"date-time":"2020-09-17T00:00:00Z","timestamp":1600300800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,17]],"date-time":"2020-09-17T00:00:00Z","timestamp":1600300800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1007\/s00521-020-05355-y","type":"journal-article","created":{"date-parts":[[2020,9,17]],"date-time":"2020-09-17T15:41:01Z","timestamp":1600357261000},"page":"5753-5769","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":98,"title":["Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically"],"prefix":"10.1007","volume":"33","author":[{"given":"Iftikhar","family":"Ahmad","sequence":"first","affiliation":[]},{"given":"Muhammad Asif Zahoor","family":"Raja","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2791-6230","authenticated-orcid":false,"given":"Higinio","family":"Ramos","sequence":"additional","affiliation":[]},{"given":"Muhammad","family":"Bilal","sequence":"additional","affiliation":[]},{"given":"Muhammad","family":"Shoaib","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,17]]},"reference":[{"key":"5355_CR1","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1097\/00006324-200104000-00013","volume":"78","author":"YM Barbosa","year":"2001","unstructured":"Barbosa YM, Hern\u00e1ndez DM (2001) A review of methods for measuring corneal topography. Optom Vis Sci 78:240\u2013253","journal-title":"Optom Vis Sci"},{"key":"5355_CR2","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.amc.2013.07.097","volume":"223","author":"W Okrasi\u0144ski","year":"2013","unstructured":"Okrasi\u0144ski W, P\u0142ociniczak \u0141 (2013) Bessel function model of corneal topography. Appl Math Comput 223:36\u2013443","journal-title":"Appl Math Comput"},{"key":"5355_CR3","first-page":"1","volume":"1","author":"I Coelho","year":"2014","unstructured":"Coelho I, Corsato C, Omari P (2014) A one-dimensional prescribed curvature equation modeling the corneal shape. Bound Value Probl 1:1\u201319","journal-title":"Bound Value Probl"},{"key":"5355_CR4","doi-asserted-by":"crossref","first-page":"1498","DOI":"10.1016\/j.nonrwa.2011.11.014","volume":"13","author":"W Okrasinski","year":"2012","unstructured":"Okrasinski W, P\u0142ociniczak \u0141 (2012) A nonlinear mathematical model of the corneal shape. Nonlinear Anal Real World Appl 13:1498\u20131505","journal-title":"Nonlinear Anal Real World Appl"},{"key":"5355_CR5","doi-asserted-by":"crossref","first-page":"1223","DOI":"10.1016\/j.nonrwa.2005.11.005","volume":"7","author":"WT Mahavier","year":"2006","unstructured":"Mahavier WT, Hunt J (2006) An alternative mathematical algorithm for the photo and video keratoscope. Nonlinear Anal Real World Appl 7:1223\u20131232","journal-title":"Nonlinear Anal Real World Appl"},{"key":"5355_CR6","doi-asserted-by":"crossref","first-page":"6594","DOI":"10.1364\/AO.48.006594","volume":"48","author":"MA Rosales","year":"2009","unstructured":"Rosales MA, Aubry MJ, Olazagasti EL, Ibarra J, Tepichn E (2009) Anterior corneal profile with variable asphericity. Appl Opt 48:6594\u20136599","journal-title":"Appl Opt"},{"key":"5355_CR7","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1098\/rsif.2004.0002","volume":"1","author":"K Anderson","year":"2004","unstructured":"Anderson K, El-Sheikh A, Newson T (2004) Application of structural analysis to the mechanical behaviour of the cornea. J R Soc 1:3\u201315","journal-title":"J R Soc"},{"key":"5355_CR8","doi-asserted-by":"crossref","first-page":"289","DOI":"10.3928\/1081597X-20090710-01","volume":"26","author":"E Ahmed","year":"2010","unstructured":"Ahmed E (2010) Finite element modeling of corneal biomechanical behaviour. J Refract Surg 26:289\u2013300","journal-title":"J Refract Surg"},{"key":"5355_CR9","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1109\/10.900255","volume":"48","author":"DR Iskander","year":"2001","unstructured":"Iskander DR, Collins MJ, Davis B (2001) Optimal modeling of corneal surfaces by Zernike polynomials. IEEE Trans Biomed Eng 48:87\u201395","journal-title":"IEEE Trans Biomed Eng"},{"key":"5355_CR10","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1109\/TBME.2008.2006019","volume":"56","author":"M Schneider","year":"2009","unstructured":"Schneider M, Iskander DR, Collins MJ (2009) Modeling corneal surfaces with rational functions for high-speed video keratoscopy data compression. IEEE Trans Biomed Eng 56:493\u2013499","journal-title":"IEEE Trans Biomed Eng"},{"key":"5355_CR11","doi-asserted-by":"crossref","first-page":"1041","DOI":"10.1016\/j.visres.2010.03.012","volume":"50","author":"R Urs","year":"2010","unstructured":"Urs R, Ho A, Manns F, Parel JM (2010) Age dependent Fourier model of the shape of the isolated ex vivo human crystalline lens. Vis Res 50:1041\u20131047","journal-title":"Vis Res"},{"key":"5355_CR12","doi-asserted-by":"crossref","first-page":"16868","DOI":"10.1364\/OE.18.016868","volume":"18","author":"RC Bakaraju","year":"2010","unstructured":"Bakaraju RC, Ehrmann K, Falk D, Ho A, Papas E (2010) Physical human model eye and methods of its use to analyse optical performance of soft contact lenses. Opt Express 18:16868\u201316882","journal-title":"Opt Express"},{"key":"5355_CR13","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1016\/j.jmbbm.2008.12.009","volume":"2","author":"R Grytz","year":"2009","unstructured":"Grytz R, Meschke G (2009) Constitutive modeling of crimped collagen fibrils in soft tissues. J Mech Behav Biomed Mater 2:522\u2013533","journal-title":"J Mech Behav Biomed Mater"},{"key":"5355_CR14","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/j.nonrwa.2008.10.047","volume":"11","author":"J Nee","year":"2010","unstructured":"Nee J (2010) Nonlinear integral equation from the BCS gap equations of superconductivity. Nonlinear Anal Real World Appl 11:190\u2013197","journal-title":"Nonlinear Anal Real World Appl"},{"key":"5355_CR15","volume-title":"Cornea handbook","author":"W Trattler","year":"2010","unstructured":"Trattler W, Majmudar P, Luchs JI, Swartz T (2010) Cornea handbook. Slack Incorporated, Thorofare"},{"key":"5355_CR16","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/j.jmaa.2014.01.010","volume":"414","author":"L P\u0142ociniczak","year":"2014","unstructured":"P\u0142ociniczak L, Okrasi\u0144ski W, Nieto JJ, Dom\u00ednguez O (2014) On a nonlinear boundary value problem modeling corneal shape. J Math Anal Appl 414:461\u2013471","journal-title":"J Math Anal Appl"},{"key":"5355_CR17","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1080\/17415977.2014.922074","volume":"23","author":"L P\u0142ociniczak","year":"2015","unstructured":"P\u0142ociniczak L, Okrasi\u0144ski W (2015) Nonlinear parameter identification in a corneal geometry model. Inverse Probl Sci Eng 23:443\u2013456","journal-title":"Inverse Probl Sci Eng"},{"issue":"8","key":"5355_CR18","doi-asserted-by":"crossref","first-page":"1434","DOI":"10.1016\/j.ins.2009.12.016","volume":"180","author":"S Effati","year":"2010","unstructured":"Effati S, Pakdaman M (2010) Artificial neural network approach for solving fuzzy differential equations. Inf Sci 180(8):1434\u20131457","journal-title":"Inf Sci"},{"issue":"4","key":"5355_CR19","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1007\/s00521-014-1762-2","volume":"26","author":"M Baymani","year":"2015","unstructured":"Baymani M, Effati S, Niazmand H, Kerayechian A (2015) Artificial neural network method for solving the Navier\u2013Stokes equations. Neural Comput Appl 26(4):765\u2013773","journal-title":"Neural Comput Appl"},{"key":"5355_CR20","doi-asserted-by":"crossref","first-page":"46324","DOI":"10.1109\/ACCESS.2020.2979141","volume":"8","author":"G Aquino","year":"2020","unstructured":"Aquino G, Rubio JDJ, Pacheco J, Gutierrez GJ, Ochoa G, Balcazar R, Cruz DR, Garcia E, Novoa JF, Zacarias A (2020) Novel nonlinear hypothesis for the delta parallel robot modeling. IEEE Access 8:46324\u201346334","journal-title":"IEEE Access"},{"issue":"8","key":"5355_CR21","doi-asserted-by":"crossref","first-page":"2165","DOI":"10.1007\/s00521-016-2185-z","volume":"28","author":"MF Fateh","year":"2017","unstructured":"Fateh MF et al (2017) Biologically inspired computing framework for solving two-point boundary value problems using differential evolution. Neural Comput Appl 28(8):2165\u20132179","journal-title":"Neural Comput Appl"},{"issue":"6","key":"5355_CR22","doi-asserted-by":"crossref","first-page":"1296","DOI":"10.1109\/TFUZZ.2009.2029569","volume":"17","author":"J de Jes\u00fas Rubio","year":"2009","unstructured":"de Jes\u00fas Rubio J (2009) SOFMLS: online self-organizing fuzzy modified least-squares network. IEEE Trans Fuzzy Syst 17(6):1296\u20131309","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5355_CR23","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1016\/j.asoc.2017.03.028","volume":"56","author":"K Majeed","year":"2017","unstructured":"Majeed K et al (2017) A genetic algorithm optimized Morlet wavelet artificial neural network to study the dynamics of nonlinear Troesch\u2019s system. Appl Soft Comput 56:420\u2013435","journal-title":"Appl Soft Comput"},{"issue":"6","key":"5355_CR24","doi-asserted-by":"crossref","first-page":"2036","DOI":"10.3390\/app10062036","volume":"10","author":"I Elias","year":"2020","unstructured":"Elias I, Rubio JDJ, Cruz DR, Ochoa G, Novoa JF, Martinez DI, Mu\u00f1iz S, Balcazar R, Garcia E, Juarez CF (2020) Hessian with mini-batches for electrical demand prediction. Appl Sci 10(6):2036","journal-title":"Appl Sci"},{"key":"5355_CR25","doi-asserted-by":"crossref","first-page":"31968","DOI":"10.1109\/ACCESS.2018.2846483","volume":"6","author":"JA Meda-Campa\u00f1a","year":"2018","unstructured":"Meda-Campa\u00f1a JA (2018) On the estimation and control of nonlinear systems with parametric uncertainties and noisy outputs. IEEE Access 6:31968\u201331973","journal-title":"IEEE Access"},{"key":"5355_CR26","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1016\/j.asoc.2015.10.015","volume":"38","author":"MAZ Raja","year":"2016","unstructured":"Raja MAZ, Farooq U, Chaudhary NI, Wazwaz AM (2016) Stochastic numerical solver for nanofluidic problems containing multi-walled carbon nanotubes. Appl Soft Comput 38:561\u2013586","journal-title":"Appl Soft Comput"},{"key":"5355_CR27","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1016\/j.asoc.2019.04.022","volume":"80","author":"M Umar","year":"2019","unstructured":"Umar M et al (2019) Intelligent computing for numerical treatment of nonlinear prey\u2013predator models. Appl Soft Comput 80:506\u2013524","journal-title":"Appl Soft Comput"},{"issue":"4","key":"5355_CR28","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1631\/FITEE.1500393","volume":"18","author":"MAZ Raja","year":"2017","unstructured":"Raja MAZ, Ahmad I, Khan I, Syam MI, Wazwaz AM (2017) Neuro-heuristic computational intelligence for solving nonlinear pantograph systems. Front Inf Technol Electron Eng 18(4):464\u2013484","journal-title":"Front Inf Technol Electron Eng"},{"key":"5355_CR29","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1016\/j.cjph.2019.04.015","volume":"59","author":"I Ahmad","year":"2019","unstructured":"Ahmad I et al (2019) Design of computational intelligent procedure for thermal analysis of porous fin model. Chin J Phys 59:641\u2013655","journal-title":"Chin J Phys"},{"key":"5355_CR30","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.asoc.2019.03.026","volume":"79","author":"A Mehmood","year":"2019","unstructured":"Mehmood A et al (2019) Integrated intelligent computing paradigm for the dynamics of micropolar fluid flow with heat transfer in a permeable walled channel. Appl Soft Comput 79:139\u2013162","journal-title":"Appl Soft Comput"},{"issue":"11\u201312","key":"5355_CR31","doi-asserted-by":"crossref","first-page":"5964","DOI":"10.1016\/j.apm.2016.01.034","volume":"40","author":"MAZ Raja","year":"2016","unstructured":"Raja MAZ, Samar R, Alaidarous ES, Shivanian E (2016) Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids. Appl Math Model 40(11\u201312):5964\u20135977","journal-title":"Appl Math Model"},{"issue":"4","key":"5355_CR32","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1080\/09540091.2015.1092499","volume":"27","author":"JA Khan","year":"2015","unstructured":"Khan JA et al (2015) Nature-inspired computing approach for solving non-linear singular Emden\u2013Fowler problem arising in electromagnetic theory. Connect Sci 27(4):377\u2013396","journal-title":"Connect Sci"},{"issue":"3","key":"5355_CR33","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1080\/09540091.2014.907555","volume":"26","author":"MAZ Raja","year":"2014","unstructured":"Raja MAZ (2014) Solution of the one-dimensional Bratu equation arising in the fuel ignition model using ANN optimised with PSO and SQP. Connect Sci 26(3):195\u2013214","journal-title":"Connect Sci"},{"issue":"1","key":"5355_CR34","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/s00521-015-2046-1","volume":"28","author":"N Yadav","year":"2017","unstructured":"Yadav N, Yadav A, Kumar M, Kim JH (2017) An efficient algorithm based on artificial neural networks and particle swarm optimization for solution of nonlinear Troesch\u2019s problem. Neural Comput Appl 28(1):171\u2013178","journal-title":"Neural Comput Appl"},{"key":"5355_CR35","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1016\/j.ins.2014.04.036","volume":"279","author":"MAZ Raja","year":"2014","unstructured":"Raja MAZ (2014) Stochastic numerical treatment for solving Troesch\u2019s problem. Inf Sci 279:860\u2013873","journal-title":"Inf Sci"},{"issue":"1","key":"5355_CR36","doi-asserted-by":"crossref","first-page":"1866","DOI":"10.1186\/s40064-016-3517-2","volume":"5","author":"I Ahmad","year":"2016","unstructured":"Ahmad I et al (2016) Bio-inspired computational heuristics to study Lane\u2013Emden systems arising in astrophysics model. SpringerPlus 5(1):1866","journal-title":"SpringerPlus"},{"key":"5355_CR37","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-019-04197-7","author":"A Mehmood","year":"2019","unstructured":"Mehmood A, Zameer A, Aslam MS, Raja MAZ (2019) Design of nature-inspired heuristic paradigm for systems in nonlinear electrical circuits. Neural Comput Appl. https:\/\/doi.org\/10.1007\/s00521-019-04197-7","journal-title":"Neural Comput Appl"},{"key":"5355_CR38","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.asoc.2018.01.009","volume":"65","author":"Z Sabir","year":"2018","unstructured":"Sabir Z et al (2018) Neuro-heuristics for nonlinear singular Thomas\u2013Fermi systems. Appl Soft Comput 65:152\u2013169","journal-title":"Appl Soft Comput"},{"issue":"1","key":"5355_CR39","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1007\/s00521-016-2400-y","volume":"28","author":"I Ahmad","year":"2017","unstructured":"Ahmad I et al (2017) Neural network methods to solve the Lane\u2013Emden type equations arising in thermodynamic studies of the spherical gas cloud model. Neural Comput Appl 28(1):929\u2013944","journal-title":"Neural Comput Appl"},{"issue":"5","key":"5355_CR40","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1140\/epjp\/i2018-12013-3","volume":"133","author":"I Ahmad","year":"2018","unstructured":"Ahmad I et al (2018) Neuro-evolutionary computing paradigm for Painlev\u00e9 equation-II in nonlinear optics. Eur Phys J Plus 133(5):184","journal-title":"Eur Phys J Plus"},{"issue":"12","key":"5355_CR41","doi-asserted-by":"crossref","first-page":"3651","DOI":"10.1007\/s00521-017-2949-0","volume":"30","author":"MAZ Raja","year":"2018","unstructured":"Raja MAZ, Shah FH, Syam MI (2018) Intelligent computing approach to solve the nonlinear Van der Pol system for heartbeat model. Neural Comput Appl 30(12):3651\u20133675","journal-title":"Neural Comput Appl"},{"issue":"2","key":"5355_CR42","doi-asserted-by":"publisher","first-page":"1850019","DOI":"10.1142\/S1793524518500195","volume":"11","author":"MAZ Raja","year":"2017","unstructured":"Raja MAZ, Asma K, Aslam MS (2017) Bio-inspired computational heuristics to study models of HIV infection of CD4\u2009+\u2009T-cell. Int J Biomath 11(2):1850019. https:\/\/doi.org\/10.1142\/S1793524518500195","journal-title":"Int J Biomath"},{"issue":"3","key":"5355_CR43","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1007\/s00521-017-3107-4","volume":"31","author":"A Munir","year":"2019","unstructured":"Munir A et al (2019) Intelligent computing approach to analyze the dynamics of wire coating with Oldroyd 8-constant fluid. Neural Comput Appl 31(3):751\u2013775","journal-title":"Neural Comput Appl"},{"issue":"7","key":"5355_CR44","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1140\/epjp\/i2018-12080-4","volume":"133","author":"MAZ Raja","year":"2018","unstructured":"Raja MAZ, Shah Z, Manzar MA, Ahmad I, Baleanu D (2018) A new stochastic computing paradigm for nonlinear Painlev\u00e9 II systems in applications of random matrix theory. Eur Phys J Plus 133(7):254","journal-title":"Eur Phys J Plus"},{"key":"5355_CR45","doi-asserted-by":"crossref","unstructured":"Yadav N, Yadav A, Deep K (2015) Artificial neural network technique for solution of nonlinear elliptic boundary value problems. In: Proceedings of fourth international conference on soft computing for problem solving, Springer India pp 113\u2013121","DOI":"10.1007\/978-81-322-2217-0_10"},{"key":"5355_CR46","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.matcom.2016.08.002","volume":"132","author":"MAZ Raja","year":"2017","unstructured":"Raja MAZ, Samar R, Manzar MA, Shah SM (2017) Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley\u2013Torvik equation. Math Comput Simul 132:139\u2013158","journal-title":"Math Comput Simul"},{"key":"5355_CR47","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.asoc.2017.03.047","volume":"57","author":"MAZ Raja","year":"2017","unstructured":"Raja MAZ, Azad S, Shah SM (2017) Bio-inspired computational heuristics to study the boundary layer flow of the Falkner\u2013Scan system with mass transfer and wall stretching. Appl Soft Comput 57:293\u2013314","journal-title":"Appl Soft Comput"},{"key":"5355_CR48","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/j.asoc.2015.10.017","volume":"38","author":"MAZ Raja","year":"2016","unstructured":"Raja MAZ, Khan JA, Chaudhary NI, Shivanian E (2016) Reliable numerical treatment of nonlinear singular Flierl\u2013Petviashivili equations for unbounded domain using ANN, GAs, and SQP. Appl Soft Comput 38:617\u2013636","journal-title":"Appl Soft Comput"},{"issue":"10","key":"5355_CR49","doi-asserted-by":"crossref","first-page":"3075","DOI":"10.1016\/j.apm.2014.11.024","volume":"39","author":"MAZ Raja","year":"2015","unstructured":"Raja MAZ, Manzar MA, Samar R (2015) An efficient computational intelligence approach for solving fractional order Riccati equations using ANN and SQP. Appl Math Model 39(10):3075\u20133093","journal-title":"Appl Math Model"},{"issue":"5","key":"5355_CR50","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1007\/s00521-014-1774-y","volume":"26","author":"MAZ Raja","year":"2015","unstructured":"Raja MAZ, Khan JA, Shah SM, Samar R, Behloul D (2015) Comparison of three unsupervised neural network models for first Painlev\u00e9 Transcendent. Neural Comput Appl 26(5):1055\u20131071","journal-title":"Neural Comput Appl"},{"issue":"7\u20138","key":"5355_CR51","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.1007\/s00521-014-1641-x","volume":"25","author":"MAZ Raja","year":"2014","unstructured":"Raja MAZ, Samar R, Rashidi MM (2014) Application of three unsupervised neural network models to singular nonlinear BVP of transformed 2D Bratu equation. Neural Comput Appl 25(7\u20138):1585\u20131601","journal-title":"Neural Comput Appl"},{"key":"5355_CR52","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1137\/050635225","volume":"17","author":"WW Hager","year":"2006","unstructured":"Hager WW, Zhang H (2006) A new active set algorithm for box constrained optimization. SIAM J Optim 17:526\u2013557","journal-title":"SIAM J Optim"},{"issue":"5","key":"5355_CR53","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1007\/s11590-018-1328-9","volume":"13","author":"M Achache","year":"2019","unstructured":"Achache M, Tabchouche N (2019) A full-Newton step feasible interior-point algorithm for monotone horizontal linear complementarity problems. Optim Lett 13(5):1039\u20131057","journal-title":"Optim Lett"},{"issue":"15","key":"5355_CR54","doi-asserted-by":"crossref","first-page":"1705","DOI":"10.1080\/01630563.2018.1492938","volume":"39","author":"Z Darvay","year":"2018","unstructured":"Darvay Z, Rig\u00f3 PR (2018) New interior-point algorithm for symmetric optimization based on a positive-asymptotic barrier function. Numer Funct Anal Optim 39(15):1705\u20131726","journal-title":"Numer Funct Anal Optim"},{"issue":"4598","key":"5355_CR55","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1126\/science.220.4598.671","volume":"220","author":"S Kirkpatrick","year":"1983","unstructured":"Kirkpatrick S, Gelatt CD, Vecchi M (1983) Optimization by simulated annealing. Science 220(4598):498\u2013516","journal-title":"Science"},{"issue":"1","key":"5355_CR56","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF00940812","volume":"45","author":"V Cenny","year":"1985","unstructured":"Cenny V (1985) Thermodynamical approach to the traveling salesman problem an efficient simulation algorithm. J Optim Theory Appl 45(1):41\u201351","journal-title":"J Optim Theory Appl"},{"key":"5355_CR57","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.asoc.2016.12.027","volume":"53","author":"FY Vincent","year":"2017","unstructured":"Vincent FY, Redi AP, Hidayat YA, Wibowo OJ (2017) A simulated annealing heuristic for the hybrid vehicle routing problem. Appl Soft Comput 53:119\u2013132","journal-title":"Appl Soft Comput"},{"issue":"3","key":"5355_CR58","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1016\/j.ejor.2017.08.035","volume":"265","author":"L Wei","year":"2018","unstructured":"Wei L, Zhang Z, Zhang D, Leung SC (2018) A simulated annealing algorithm for the capacitated vehicle routing problem with two-dimensional loading constraints. Eur J Oper Res 265(3):843\u2013859","journal-title":"Eur J Oper Res"},{"issue":"1","key":"5355_CR59","first-page":"2308","volume":"14","author":"AZM Kadhim","year":"2018","unstructured":"Kadhim AZM, Ali SK, Kassim MM (2018) Solving machine scheduling problem under fuzzy processing time using the simulated annealing method. J Progr Res Math 14(1):2308\u20132317","journal-title":"J Progr Res Math"},{"issue":"2","key":"5355_CR60","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1145\/321062.321069","volume":"8","author":"R Hooke","year":"1961","unstructured":"Hooke R, Jeeves TA (1961) Direct search solution of numerical and statistical problems. J Assoc Comput Mach (ACM) 8(2):212\u2013229","journal-title":"J Assoc Comput Mach (ACM)"},{"key":"5355_CR61","first-page":"53","volume":"9","author":"WC Yu","year":"1979","unstructured":"Yu WC (1979) Positive basis and a class of direct search techniques. Sci Sin 9:53\u201367","journal-title":"Sci Sin"},{"issue":"2","key":"5355_CR62","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1137\/S1052623400374495","volume":"14","author":"ED Dolan","year":"2003","unstructured":"Dolan ED, Lewis RM, Torczon VJ (2003) On the local convergence of pattern search. SIAM J Optim 14(2):567\u2013583","journal-title":"SIAM J Optim"},{"issue":"4","key":"5355_CR63","doi-asserted-by":"crossref","first-page":"1082","DOI":"10.1137\/S1052623496300507","volume":"9","author":"RM Lewis","year":"1999","unstructured":"Lewis RM, Torczon V (1999) Pattern search algorithms for bound con-strained minimization. SIAM J Optim 9(4):1082\u20131099","journal-title":"SIAM J Optim"},{"issue":"1","key":"5355_CR64","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1038\/scientificamerican0792-66","volume":"267","author":"JH Holland","year":"1992","unstructured":"Holland JH (1992) Genetic algorithms. Sci Am 267(1):66\u201373","journal-title":"Sci Am"},{"issue":"2","key":"5355_CR65","doi-asserted-by":"crossref","first-page":"2152","DOI":"10.1007\/s40314-017-0444-y","volume":"37","author":"RDB Ara\u00fajo","year":"2018","unstructured":"Ara\u00fajo RDB, Coelho AA (2018) Hybridization of IMC and PID control structures based on filtered GPC using genetic algorithm. Comput Appl Math 37(2):2152\u20132165","journal-title":"Comput Appl Math"},{"issue":"1","key":"5355_CR66","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1007\/s40314-016-0362-4","volume":"37","author":"S Shahdi-Pashaki","year":"2018","unstructured":"Shahdi-Pashaki S, Teymourian E, Tavakkoli-Moghaddam R (2018) New approach based on group technology for the consolidation problem in cloud computing-mathematical model and genetic algorithm. Comput Appl Math 37(1):693\u2013718","journal-title":"Comput Appl Math"},{"key":"5355_CR67","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1007\/s40314-017-0537-7","volume":"37","author":"Brondani M de Fatima","year":"2018","unstructured":"de Fatima Brondani M, Sausen ATZR, Sausen PS, Binelo MO (2018) Parameter estimation of lithium ion polymer battery mathematical model using genetic algorithm. Comput Appl Math 37:296\u2013313","journal-title":"Comput Appl Math"},{"issue":"1","key":"5355_CR68","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1007\/s40314-015-0260-1","volume":"36","author":"Z Yuxin","year":"2017","unstructured":"Yuxin Z, Shenghong L, Feng J (2017) Overlapping community detection in complex networks using multi-objective evolutionary algorithm. Comput Appl Math 36(1):749\u2013768","journal-title":"Comput Appl Math"},{"key":"5355_CR69","doi-asserted-by":"publisher","first-page":"605","DOI":"10.1016\/j.asoc.2016.10.009","volume":"52","author":"MAZ Raja","year":"2017","unstructured":"Raja MAZ, Shah FH, Alaidarous ES, Syam MI (2017) Design of bio-inspired heuristic technique integrated with interior-point algorithm to analyze the dynamics of heartbeat model. Appl Soft Comput 52:605\u2013629. https:\/\/doi.org\/10.1016\/j.asoc.2016.10.009","journal-title":"Appl Soft Comput"},{"issue":"9","key":"5355_CR70","doi-asserted-by":"publisher","first-page":"364","DOI":"10.1140\/epjp\/i2018-12153-4","volume":"133","author":"MAZ Raja","year":"2018","unstructured":"Raja MAZ, Umar M, Sabir Z, Khan JA, Baleanu D (2018) A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head. Eur Phys J Plus 133(9):364. https:\/\/doi.org\/10.1140\/epjp\/i2018-12153-4","journal-title":"Eur Phys J Plus"},{"issue":"12","key":"5355_CR71","doi-asserted-by":"crossref","first-page":"9041","DOI":"10.1007\/s00521-019-04203-y","volume":"31","author":"I Ahmad","year":"2019","unstructured":"Ahmad I et al (2019) Novel applications of intelligent computing paradigms for the analysis of nonlinear reactive transport model of the fluid in soft tissues and microvessels. Neural Comput Appl 31(12):9041\u20139059","journal-title":"Neural Comput Appl"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-020-05355-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-020-05355-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-020-05355-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,14]],"date-time":"2024-08-14T01:52:22Z","timestamp":1723600342000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-020-05355-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,17]]},"references-count":71,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["5355"],"URL":"https:\/\/doi.org\/10.1007\/s00521-020-05355-y","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,17]]},"assertion":[{"value":"25 March 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 September 2020","order":3,"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 declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}