{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T06:24:45Z","timestamp":1784615085956,"version":"3.55.0"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T00:00:00Z","timestamp":1469750400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"National Social Science Foundation of China","award":["13BJY098"],"award-info":[{"award-number":["13BJY098"]}]},{"name":"Project in the National Science and Technology Pillar Program during the Twelfth Five-year Plan Period of China","award":["2014BAD06B04-2-9"],"award-info":[{"award-number":["2014BAD06B04-2-9"]}]},{"name":"Agriculture Industry Research Special Fouds for Public Welfare Projects of China","award":["201503116"],"award-info":[{"award-number":["201503116"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1007\/s00521-016-2455-9","type":"journal-article","created":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T02:23:12Z","timestamp":1469758992000},"page":"413-421","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":178,"title":["A constrained optimization method based on BP neural network"],"prefix":"10.1007","volume":"29","author":[{"given":"Li","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fulin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ting","family":"Sun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bing","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2016,7,29]]},"reference":[{"key":"2455_CR1","doi-asserted-by":"publisher","unstructured":"Zeng L, Liu J, Qin Y, Wang ZY (2014) The shift system of automated mechanical transmission based on neural network control. In: Proceeding of the 11th world congress on intelligent control and automation. doi:\n                        10.1109\/WCICA.2014.7053397","DOI":"10.1109\/WCICA.2014.7053397"},{"issue":"2","key":"2455_CR2","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.artmed.2005.03.001","volume":"38","author":"Yuval Shahar","year":"2006","unstructured":"Shahar Yuval, Goren-Bar Dina, Boaz David, Tahan Gil (2006) Distributed, intelligent, interactive visualization and exploration of time-oriented clinical data and their abstractions. Artif Intell Med 38(2):115\u2013135. doi:\n                        10.1016\/j.artmed.2005.03.001","journal-title":"Artif Intell Med"},{"issue":"4","key":"2455_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10462-012-9345-z","volume":"42","author":"E Mahdipour","year":"2014","unstructured":"Mahdipour E, Dadkhah C (2014) Automatic fire detection based on soft computing techniques: review from 2000 to 2010. Artif Intell Rev 42(4):1\u201340. doi:\n                        10.1007\/s10462-012-9345-z","journal-title":"Artif Intell Rev"},{"key":"2455_CR4","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.icheatmasstransfer.2014.02.028","volume":"53","author":"A Mirsepahi","year":"2014","unstructured":"Mirsepahi A, Chen L, O\u2019Neill B (2014) A comparative approach of inverse modeling applied to an irradiative batch dryer employing several artificial neural networks. Int Commun Heat Mass Transf 53:164\u2013174. doi:\n                        10.1016\/j.icheatmasstransfer.2014.02.028","journal-title":"Int Commun Heat Mass Transf"},{"key":"2455_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-3642-0","volume-title":"Neural network parallel computing","author":"Y Takefuji","year":"1992","unstructured":"Takefuji Y (1992) Neural network parallel computing. Springer, Heidelberg. doi:\n                        10.1007\/978-1-4615-3642-0"},{"issue":"3","key":"2455_CR6","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1134\/S0005117915030133","volume":"76","author":"VE Bolnokin","year":"2015","unstructured":"Bolnokin VE, Mutin DI, Tuan NA, Povalyaev AD (2015) Models of adaptive control system design for nonlinear dynamic plants based on a neural network. Autom Remote Control 76(3):493\u2013499. doi:\n                        10.1134\/S0005117915030133","journal-title":"Autom Remote Control"},{"issue":"7","key":"2455_CR7","doi-asserted-by":"publisher","first-page":"995","DOI":"10.1016\/S0893-6080(03)00006-6","volume":"16","author":"Z Zhang","year":"2003","unstructured":"Zhang Z, Ma X, Yang Y (2003) Bounds on the number of hidden neurons in three-layer binary neural networks. Neural Netw 16(7):995\u20131002. doi:\n                        10.1016\/S0893-6080(03)00006-6","journal-title":"Neural Netw"},{"issue":"3","key":"2455_CR8","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1007\/s00521-009-0321-8","volume":"19","author":"X Liang","year":"2010","unstructured":"Liang X, Chen RC (2010) A unified mathematical form for removing neurons based on orthogonal projection and crosswise propagation. Neural Comput Appl 19(3):445\u2013457. doi:\n                        10.1007\/s00521-009-0321-8","journal-title":"Neural Comput Appl"},{"issue":"3","key":"2455_CR9","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1016\/0893-6080(89)90003-8","volume":"2","author":"K-I Funahashi","year":"1989","unstructured":"Funahashi K-I (1989) On the approximate realization of continuous mappings by neural networks. Neural Netw 2(3):183\u2013192. doi:\n                        10.1016\/0893-6080(89)90003-8","journal-title":"Neural Netw"},{"issue":"8","key":"2455_CR10","doi-asserted-by":"publisher","first-page":"651","DOI":"10.1002\/nag.291","volume":"27","author":"CG Chua","year":"2003","unstructured":"Chua CG, Goh ATC (2003) A hybrid Bayesian back-propagation neural network approach to multivariate modeling. Int J Numer Anal Methods Geomech 27(8):651\u2013667. doi:\n                        10.1002\/nag.291","journal-title":"Int J Numer Anal Methods Geomech"},{"key":"2455_CR11","doi-asserted-by":"publisher","first-page":"185","DOI":"10.2528\/PIER08051403","volume":"83","author":"Y Zhang","year":"2008","unstructured":"Zhang Y, Wu L (2008) Weights optimization of neural network via improved BCO approach. Prog Electromagn Res 83:185\u2013198. doi:\n                        10.2528\/PIER08051403","journal-title":"Prog Electromagn Res"},{"issue":"1","key":"2455_CR12","doi-asserted-by":"publisher","first-page":"176","DOI":"10.1007\/s10489-014-0618-x","volume":"43","author":"WK Jia","year":"2015","unstructured":"Jia WK, Zhao D, Shen T, Ding SF, Zhao YY, Hu CL (2015) An optimized classification algorithm by BP neural network based on PLS and HCA. Appl Intell 43(1):176\u2013191. doi:\n                        10.1007\/s10489-014-0618-x","journal-title":"Appl Intell"},{"issue":"2","key":"2455_CR13","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1007\/s10462-011-9208-z","volume":"36","author":"SF Ding","year":"2011","unstructured":"Ding SF, Su CY, Yu JZ (2011) An optimizing BP neural network algorithm based on genetic algorithm. Artif Intell Rev 36(2):153\u2013162. doi:\n                        10.1007\/s10462-011-9208-z","journal-title":"Artif Intell Rev"},{"issue":"9\u201312","key":"2455_CR14","doi-asserted-by":"publisher","first-page":"2199","DOI":"10.1007\/s00170-014-6434-y","volume":"76","author":"YJ Xu","year":"2015","unstructured":"Xu YJ, Zhang QW, Zhang WH, Zhang P (2015) Optimization of injection molding process parameters to improve the mechanical performance of polymer product against impact. Int J Adv Maunf Technol 76(9\u201312):2199\u20132208. doi:\n                        10.1007\/s00170-014-6434-y","journal-title":"Int J Adv Maunf Technol"},{"issue":"9","key":"2455_CR15","doi-asserted-by":"publisher","first-page":"1484","DOI":"10.1016\/j.cjche.2015.03.005","volume":"23","author":"CW Cao","year":"2015","unstructured":"Cao CW, Zhang YK, Yu T, Gu XS, Xin Z, Li J (2015) A novel 3-layer mixed cultural evolutionary optimization framework for optimal operation of syngas production in a Texaco coal-water slurry gasifier. Chin J Chem Eng 23(9):1484\u20131501. doi:\n                        10.1016\/j.cjche.2015.03.005","journal-title":"Chin J Chem Eng"},{"key":"2455_CR16","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1016\/j.neucom.2014.08.017","volume":"149","author":"SJ Zhai","year":"2015","unstructured":"Zhai SJ, Jiang T (2015) A new sense-through-foliage target recognition method based on hybrid differential evolution and self-adaptive particle swarm optimization-based support vector machine. 149:573\u2013584. doi:\n                        10.1016\/j.neucom.2014.08.017","journal-title":"A new sense-through-foliage target recognition method based on hybrid differential evolution and self-adaptive particle swarm optimization-based support vector machine."},{"key":"2455_CR17","doi-asserted-by":"crossref","unstructured":"Yan S, Lang M (2013) Optimization for railway freight transport network based on BP neural network. In: IEEE international conference on mechatronic sciences electric engineering and computer, vol 1037, pp 404\u2013410. doi:10.1109\/MEC.2013.6885411","DOI":"10.1109\/MEC.2013.6885411"},{"issue":"4","key":"2455_CR18","doi-asserted-by":"publisher","first-page":"855","DOI":"10.1007\/s10489-015-0679-5","volume":"43","author":"XH Han","year":"2015","unstructured":"Han XH, Xiong XY, Duan F (2015) A new method for image segmentation based on BP neural network and gravitational search algorithm enhanced by cat chaotic mapping. Appl Intell 43(4):855\u2013873. doi:\n                        10.1007\/s10489-015-0679-5","journal-title":"Appl Intell"},{"issue":"1","key":"2455_CR19","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.tca.2006.10.026","volume":"454","author":"YP Liu","year":"2007","unstructured":"Liu YP, Wu MG, Qian JX (2007) Predicting coal ash fusion temperature based on its chemical composition using ACO-BP neural network. Thermochim Acta 454(1):64\u201368. doi:\n                        10.1016\/j.tca.2006.10.026","journal-title":"Thermochim Acta"},{"issue":"11","key":"2455_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1109\/ICEEE.2010.5660683","volume":"7","author":"FL Wang","year":"2010","unstructured":"Wang FL, Liu GL, Wang JQ (2010) An unconstrainted optimization method based on BP neural network. ICIC Exp Lett 7(11):1\u20134. doi:\n                        10.1109\/ICEEE.2010.5660683","journal-title":"ICIC Exp Lett"},{"issue":"1","key":"2455_CR21","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0167-7012(00)00201-3","volume":"43","author":"IA Basheer","year":"2001","unstructured":"Basheer IA, Hajmeer M (2001) Artificial neural networks: fundamentals, computing, design, and application. J Microbiol Methods 43(1):3\u201331. doi:\n                        10.1016\/S0167-7012(00)00201-3","journal-title":"J Microbiol Methods"},{"issue":"10","key":"2455_CR22","doi-asserted-by":"crossref","first-page":"1338","DOI":"10.1109\/TKDE.2006.162","volume":"18","author":"ML Zhang","year":"2006","unstructured":"Zhang ML, Zhou ZH (2006) Multilabel neural networks with applications to functional genomics and text categorization. IEEE Trans Knowl Data Eng 18(10):1338\u20131351","journal-title":"IEEE Trans Knowl Data Eng"},{"issue":"3","key":"2455_CR23","doi-asserted-by":"publisher","first-page":"6580","DOI":"10.1016\/j.eswa.2008.07.064","volume":"36","author":"L Zhang","year":"2009","unstructured":"Zhang L, Luo JH, Yang SY (2009) Forecasting box office revenue of movies with BP neural network. Expert Syst Appl 36(3):6580\u20136587. doi:\n                        10.1016\/j.eswa.2008.07.064","journal-title":"Expert Syst Appl"},{"key":"2455_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-48125-6_7","volume-title":"Design of neural network optimal models","author":"AI Galushkin","year":"2007","unstructured":"Galushkin AI (2007) Design of neural network optimal models. Springer, Berlin. doi:\n                        10.1007\/978-3-540-48125-6_7"},{"key":"2455_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/b97705","volume-title":"Feedforward neural network methodology","author":"TL Fine","year":"1999","unstructured":"Fine TL (1999) Feedforward neural network methodology. Springer, New York. doi:\n                        10.1007\/b97705"},{"key":"2455_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-614-8","volume-title":"Neural network models","author":"P Wilde De","year":"1997","unstructured":"De Wilde P (1997) Neural network models. Springer, London. doi:\n                        10.1007\/978-1-84628-614-8"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-016-2455-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2455-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2455-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2455-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,1,18]],"date-time":"2018-01-18T10:01:29Z","timestamp":1516269689000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-016-2455-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,29]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["2455"],"URL":"https:\/\/doi.org\/10.1007\/s00521-016-2455-9","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,29]]}}}