{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T23:04:09Z","timestamp":1782860649684,"version":"3.54.5"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2018,1,29]],"date-time":"2018-01-29T00:00:00Z","timestamp":1517184000000},"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":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s00521-018-3343-2","type":"journal-article","created":{"date-parts":[[2018,1,29]],"date-time":"2018-01-29T04:42:17Z","timestamp":1517200937000},"page":"4385-4405","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":294,"title":["Chaotic grasshopper optimization algorithm for global optimization"],"prefix":"10.1007","volume":"31","author":[{"given":"Sankalap","family":"Arora","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Priyanka","family":"Anand","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,1,29]]},"reference":[{"key":"3343_CR1","volume-title":"Introduction to mathematical optimization: from linear programming to metaheuristics","author":"X-S Yang","year":"2008","unstructured":"Yang X-S (2008) Introduction to mathematical optimization: from linear programming to metaheuristics. Cambridge International Science Publishing, Cambridge"},{"key":"3343_CR2","unstructured":"Brownlee J (2011) Clever algorithms: nature-inspired programming recipes. 1st edn. Lulu, North Carolina"},{"key":"3343_CR3","unstructured":"Yang X-S, Gandomi AH, Talatahari S, Alavi AH (eds) (2012) Metaheuristics in water, geotechnical and transport engineering.  Elsevier, Newnes"},{"issue":"6","key":"3343_CR4","doi-asserted-by":"publisher","first-page":"2773","DOI":"10.1016\/j.jmatprotec.2008.06.028","volume":"209","author":"AR Yildiz","year":"2009","unstructured":"Yildiz AR (2009) An effective hybrid immune-hill climbing optimization approach for solving design and manufacturing optimization problems in industry. J Mater Process Technol 209(6):2773\u20132780","journal-title":"J Mater Process Technol"},{"key":"3343_CR5","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1016\/j.asoc.2014.10.010","volume":"26","author":"AR Jordehi","year":"2015","unstructured":"Jordehi AR (2015) Chaotic bat swarm optimisation (cbso). Appl Soft Comput 26:523\u2013530","journal-title":"Appl Soft Comput"},{"key":"3343_CR6","doi-asserted-by":"crossref","unstructured":"Skalak DB (1994) Prototype and feature selection by sampling and random mutation hill climbing algorithms. In: Proceedings of the eleventh international conference on machine learning, pp\u00a0293\u2013301","DOI":"10.1016\/B978-1-55860-335-6.50043-X"},{"key":"3343_CR7","unstructured":"Aarts E, Korst J (1988) Simulated annealing and Boltzmann machines. Wiley, New York"},{"issue":"2","key":"3343_CR8","doi-asserted-by":"publisher","first-page":"989","DOI":"10.1109\/TPWRS.2006.873410","volume":"21","author":"L Santos Coelho dos","year":"2006","unstructured":"dos Coelho L Santos, Mariani VC (2006) Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect. IEEE Trans Power Syst 21(2):989","journal-title":"IEEE Trans Power Syst"},{"key":"3343_CR9","doi-asserted-by":"crossref","unstructured":"Storn R (1996) Differential evolution design of an IIR filter. In: Proceedings of IEEE international conference on evolutionary computation, pp 268\u2013273","DOI":"10.1109\/ICEC.1996.542373"},{"key":"3343_CR10","doi-asserted-by":"publisher","first-page":"3325","DOI":"10.1007\/s13369-017-2471-9","volume":"42","author":"S Arora","year":"2017","unstructured":"Arora S, Singh S (2017) Node localization in wireless sensor networks using butterfly optimization algorithm. Arab J Sci Eng 42:3325\u20133335","journal-title":"Arab J Sci Eng"},{"key":"3343_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-017-2988-6","author":"GI Sayed","year":"2017","unstructured":"Sayed GI, Hassanien AE, Azar AT (2017) Feature selection via a novel chaotic crow search algorithm. Neural Comput Appl. \n                    https:\/\/doi.org\/10.1007\/s00521-017-2988-6","journal-title":"Neural Comput Appl"},{"issue":"1","key":"3343_CR12","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1023\/A:1022995128597","volume":"17","author":"J Ilonen","year":"2003","unstructured":"Ilonen J, Kamarainen J-K, Lampinen J (2003) Differential evolution training algorithm for feed-forward neural networks. Neural Process Lett 17(1):93\u2013105","journal-title":"Neural Process Lett"},{"key":"3343_CR13","unstructured":"Eberhart RC, Kennedy J et al (1995) A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, New York, vol\u00a01, pp\u00a039\u201343"},{"issue":"2","key":"3343_CR14","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1023\/A:1022602019183","volume":"3","author":"DE Goldberg","year":"1988","unstructured":"Goldberg DE, Holland JH (1988) Genetic algorithms and machine learning. Mach Learn 3(2):95\u201399","journal-title":"Mach Learn"},{"issue":"4","key":"3343_CR15","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn R, Price K (1997) Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341\u2013359","journal-title":"J Global Optim"},{"key":"3343_CR16","doi-asserted-by":"crossref","unstructured":"Arora S, Singh S, Singh S, Sharma B (2014) Mutated firefly algorithm. In: International conference on parallel, distributed and grid computing (PDGC), pp\u00a033\u201338","DOI":"10.1109\/PDGC.2014.7030711"},{"key":"3343_CR17","unstructured":"Yang X-S (2010) Firefly algorithm, levy flights and global optimization. In: Research and development in intelligent systems XXVI, pp\u00a0209\u2013218"},{"issue":"3","key":"3343_CR18","first-page":"48","volume":"69","author":"S Arora","year":"2013","unstructured":"Arora S, Singh S (2013) The firefly optimization algorithm: convergence analysis and parameter selection. Int J Comput Appl 69(3):48\u201352","journal-title":"Int J Comput Appl"},{"issue":"13","key":"3343_CR19","doi-asserted-by":"publisher","first-page":"2232","DOI":"10.1016\/j.ins.2009.03.004","volume":"179","author":"E Rashedi","year":"2009","unstructured":"Rashedi E, Nezamabadi-Pour H, Saryazdi S (2009) Gsa: a gravitational search algorithm. Inf Sci 179(13):2232\u20132248","journal-title":"Inf Sci"},{"issue":"2","key":"3343_CR20","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1177\/003754970107600201","volume":"76","author":"ZW Geem","year":"2001","unstructured":"Geem ZW, Kim JH, Loganathan G (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60\u201368","journal-title":"Simulation"},{"issue":"2","key":"3343_CR21","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1162\/106365601750190398","volume":"9","author":"N Hansen","year":"2001","unstructured":"Hansen N, Ostermeier A (2001) Completely derandomized self-adaptation in evolution strategies. Evol Comput 9(2):159\u2013195","journal-title":"Evol Comput"},{"key":"3343_CR22","unstructured":"Arora S, Singh S (2015) Butterfly algorithm with levy flights for global optimization. In: International conference on signal processing, computing and control (ISPCC), pp\u00a0220\u2013224"},{"key":"3343_CR23","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.advengsoft.2013.12.007","volume":"69","author":"S Mirjalili","year":"2014","unstructured":"Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46\u201361","journal-title":"Adv Eng Softw"},{"key":"3343_CR24","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.advengsoft.2017.01.004","volume":"105","author":"S Saremi","year":"2017","unstructured":"Saremi S, Mirjalili S, Lewis A (2017) Grasshopper optimisation algorithm: theory and application. Adv Eng Softw 105:30\u201347","journal-title":"Adv Eng Softw"},{"issue":"4","key":"3343_CR25","doi-asserted-by":"publisher","first-page":"1366","DOI":"10.1016\/j.chaos.2006.04.057","volume":"34","author":"D Yang","year":"2007","unstructured":"Yang D, Li G, Cheng G (2007) On the efficiency of chaos optimization algorithms for global optimization. Chaos Solitons Fractals 34(4):1366\u20131375","journal-title":"Chaos Solitons Fractals"},{"issue":"1","key":"3343_CR26","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.cnsns.2012.06.009","volume":"18","author":"A Gandomi","year":"2013","unstructured":"Gandomi A, Yang X-S, Talatahari S, Alavi A (2013) Firefly algorithm with chaos. Commun Nonlinear Sci Numer Simul 18(1):89\u201398","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"2","key":"3343_CR27","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/j.cnsns.2012.07.017","volume":"18","author":"AH Gandomi","year":"2013","unstructured":"Gandomi AH, Yun GJ, Yang X-S, Talatahari S (2013) Chaos-enhanced accelerated particle swarm optimization. Commun Nonlinear Sci Numer Simul 18(2):327\u2013340","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"1","key":"3343_CR28","doi-asserted-by":"publisher","first-page":"1079","DOI":"10.3233\/JIFS-16798","volume":"32","author":"S Arora","year":"2017","unstructured":"Arora S, Singh S (2017) An improved butterfly optimization algorithm with chaos. J Intell Fuzzy Syst 32(1):1079\u20131088","journal-title":"J Intell Fuzzy Syst"},{"key":"3343_CR29","doi-asserted-by":"publisher","unstructured":"Kohli M, Arora S (2017) Chaotic grey wolf optimization algorithm for constrained optimization problems. J Comput Design Eng. \n                    https:\/\/doi.org\/10.1016\/j.jcde.2017.02.005","DOI":"10.1016\/j.jcde.2017.02.005"},{"key":"3343_CR30","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.ins.2012.06.033","volume":"218","author":"X Han","year":"2013","unstructured":"Han X, Chang X (2013) An intelligent noise reduction method for chaotic signals based on genetic algorithms and lifting wavelet transforms. Inf Sci 218:103\u2013118","journal-title":"Inf Sci"},{"issue":"6","key":"3343_CR31","doi-asserted-by":"publisher","first-page":"1329","DOI":"10.1007\/s00521-014-1613-1","volume":"25","author":"AR Jordehi","year":"2014","unstructured":"Jordehi AR (2014) A chaotic-based big bang-big crunch algorithm for solving global optimisation problems. Neural Comput Appl 25(6):1329\u20131335","journal-title":"Neural Comput Appl"},{"issue":"15","key":"3343_CR32","doi-asserted-by":"publisher","first-page":"3175","DOI":"10.1016\/j.ins.2011.03.018","volume":"181","author":"D Jia","year":"2011","unstructured":"Jia D, Zheng G, Khan MK (2011) An effective memetic differential evolution algorithm based on chaotic local search. Inf Sci 181(15):3175\u20133187","journal-title":"Inf Sci"},{"issue":"1","key":"3343_CR33","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s00521-015-2037-2","volume":"28","author":"AA Heidari","year":"2017","unstructured":"Heidari AA, Abbaspour RA, Jordehi AR (2017) An efficient chaotic water cycle algorithm for optimization tasks. Neural Comput Appl 28(1):57\u201385","journal-title":"Neural Comput Appl"},{"issue":"3","key":"3343_CR34","doi-asserted-by":"publisher","first-page":"1312","DOI":"10.1016\/j.cnsns.2011.08.021","volume":"17","author":"S Talatahari","year":"2012","unstructured":"Talatahari S, Azar BF, Sheikholeslami R, Gandomi A (2012) Imperialist competitive algorithm combined with chaos for global optimization. Commun Nonlinear Sci Numer Simul 17(3):1312\u20131319","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"4","key":"3343_CR35","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1007\/s00521-014-1751-5","volume":"26","author":"AR Jordehi","year":"2015","unstructured":"Jordehi AR (2015) A chaotic artificial immune system optimisation algorithm for solving global continuous optimisation problems. Neural Comput Appl 26(4):827\u2013833","journal-title":"Neural Comput Appl"},{"issue":"16","key":"3343_CR36","first-page":"6900","volume":"217","author":"L-Y Chuang","year":"2011","unstructured":"Chuang L-Y, Tsai S-W, Yang C-H (2011) Chaotic catfish particle swarm optimization for solving global numerical optimization problems. Appl Math Comput 217(16):6900\u20136916","journal-title":"Appl Math Comput"},{"issue":"5","key":"3343_CR37","doi-asserted-by":"publisher","first-page":"1077","DOI":"10.1007\/s00521-014-1597-x","volume":"25","author":"S Saremi","year":"2014","unstructured":"Saremi S, Mirjalili S, Lewis A (2014) Biogeography-based optimisation with chaos. Neural Comput Appl 25(5):1077\u20131097","journal-title":"Neural Comput Appl"},{"key":"3343_CR38","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.ins.2012.04.039","volume":"208","author":"X Han","year":"2012","unstructured":"Han X, Chang X (2012) A chaotic digital secure communication based on a modified gravitational search algorithm filter. Inf Sci 208:14\u201327","journal-title":"Inf Sci"},{"key":"3343_CR39","first-page":"402","volume":"269","author":"A Naanaa","year":"2015","unstructured":"Naanaa A (2015) Fast chaotic optimization algorithm based on spatiotemporal maps for global optimization. Appl Math Comput 269:402\u2013411","journal-title":"Appl Math Comput"},{"key":"3343_CR40","doi-asserted-by":"publisher","unstructured":"Lu H, Wang X, Fei Z, Qiu M (2014)  The effects of using chaotic map on improving the performance of multiobjective evolutionary algorithms. Math Prob Eng 2014:16.  \n                    https:\/\/doi.org\/10.1155\/2014\/924652","DOI":"10.1155\/2014\/924652"},{"issue":"7","key":"3343_CR41","doi-asserted-by":"publisher","first-page":"900","DOI":"10.1109\/81.933333","volume":"48","author":"D He","year":"2001","unstructured":"He D, He C, Jiang L-G, Zhu H-W, Hu G-R (2001) Chaotic characteristics of a one-dimensional iterative map with infinite collapses. IEEE Trans Circuits Syst I Fundam Theory Appl 48(7):900\u2013906","journal-title":"IEEE Trans Circuits Syst I Fundam Theory Appl"},{"issue":"2","key":"3343_CR42","first-page":"1076","volume":"187","author":"MS Tavazoei","year":"2007","unstructured":"Tavazoei MS, Haeri M (2007) Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms. Appl Math Comput 187(2):1076\u20131085","journal-title":"Appl Math Comput"},{"issue":"7","key":"3343_CR43","doi-asserted-by":"publisher","first-page":"1221","DOI":"10.1016\/0960-0779(94)90033-7","volume":"4","author":"W-M Zheng","year":"1994","unstructured":"Zheng W-M (1994) Kneading plane of the circle map. Chaos Solitons Fractals 4(7):1221\u20131233","journal-title":"Chaos Solitons Fractals"},{"key":"3343_CR44","doi-asserted-by":"publisher","unstructured":"Wang G, Guo L (2013) A novel hybrid bat algorithm with harmony search for global numerical optimization. J Appl Math 2013:21. \n                    https:\/\/doi.org\/10.1155\/2013\/696491","DOI":"10.1155\/2013\/696491"},{"issue":"2","key":"3343_CR45","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1109\/4235.771163","volume":"3","author":"X Yao","year":"1999","unstructured":"Yao X, Liu Y, Lin G (1999) Evolutionary programming made faster. IEEE Trans Evol Comput 3(2):82\u2013102","journal-title":"IEEE Trans Evol Comput"},{"issue":"1","key":"3343_CR46","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.swevo.2011.02.002","volume":"1","author":"J Derrac","year":"2011","unstructured":"Derrac J, Garc\u00eda S, Molina D, Herrera F (2011) A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol Comput 1(1):3\u201318","journal-title":"Swarm Evol Comput"},{"issue":"6","key":"3343_CR47","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1007\/s10732-008-9080-4","volume":"15","author":"S Garc\u00eda","year":"2009","unstructured":"Garc\u00eda S, Molina D, Lozano M, Herrera F (2009) A study on the use of non-parametric tests for analyzing the evolutionary algorithms behaviour: a case study on the cec2005 special session on real parameter optimization. J Heuristics 15(6):617\u2013644","journal-title":"J Heuristics"},{"key":"3343_CR48","first-page":"171","volume":"1","author":"F Wilcoxon","year":"1970","unstructured":"Wilcoxon F, Katti S, Wilcox RA (1970) Critical values and probability levels for the Wilcoxon rank sum test and the Wilcoxon signed rank test. Sel Tables Math Stat 1:171\u2013259","journal-title":"Sel Tables Math Stat"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-018-3343-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3343-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-018-3343-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,26]],"date-time":"2019-10-26T09:10:34Z","timestamp":1572081034000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-018-3343-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,29]]},"references-count":48,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["3343"],"URL":"https:\/\/doi.org\/10.1007\/s00521-018-3343-2","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1,29]]},"assertion":[{"value":"21 August 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 January 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 January 2018","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. This manuscript does not contain any studies with human participants or animals performed by any of the authors. Authors have carefully checked the \u201cInstructions for Authors\u201d and certify that the manuscript complies with the Ethical Rules applicable for this journal.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}]}}