{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T14:13:20Z","timestamp":1777472000041,"version":"3.51.4"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2011,5,28]],"date-time":"2011-05-28T00:00:00Z","timestamp":1306540800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2011,7]]},"DOI":"10.1007\/s11432-011-4270-3","type":"journal-article","created":{"date-parts":[[2011,5,27]],"date-time":"2011-05-27T18:57:56Z","timestamp":1306522676000},"page":"1333-1339","source":"Crossref","is-referenced-by-count":10,"title":["Quasi-physical global optimization method for solving the equal circle packing problem"],"prefix":"10.1007","volume":"54","author":[{"given":"WenQi","family":"Huang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tao","family":"Ye","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,5,28]]},"reference":[{"key":"4270_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0963-8","volume-title":"Unsolved Problems in Geometry","author":"H. T. Croft","year":"1991","unstructured":"Croft H T, Falconer K J, Guy R K. Unsolved Problems in Geometry. New York: Springer, 1991"},{"key":"4270_CR2","doi-asserted-by":"crossref","first-page":"65","DOI":"10.2307\/2688509","volume":"40","author":"S. Kravitz","year":"1967","unstructured":"Kravitz S. Packing cylinders into cylindrical containers. Math Mag, 1967, 40: 65\u201371","journal-title":"Math Mag"},{"key":"4270_CR3","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1016\/j.ejor.2007.01.054","volume":"191","author":"I. Castillo","year":"2008","unstructured":"Castillo I, Kampas F J, Pinter J D. Solving circle packing problems by global optimization: numerical results and industrial applications. Eur J Oper Res, 2008, 191: 786\u2013802","journal-title":"Eur J Oper Res"},{"key":"4270_CR4","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/S0012-365X(97)00050-2","volume":"181","author":"R. L. Graham","year":"1998","unstructured":"Graham R L, Lubachevsky B D, Nurmela P R J, et al. Dense packings of congruent circles in a circle. Discrete Math, 1998, 181: 139\u2013154","journal-title":"Discrete Math"},{"key":"4270_CR5","first-page":"176","volume":"2","author":"W. Q. Huang","year":"1979","unstructured":"Huang W Q, Zhan S. A quasi-physical method for solving packing problems (in Chinese). Acta Math Appl Sin, 1979, 2: 176\u2013180","journal-title":"Acta Math Appl Sin"},{"key":"4270_CR6","first-page":"347","volume":"29","author":"W. Q. Huang","year":"1999","unstructured":"Huang W Q, Xu R C. Two personification strategies for solving circles packing problem. Sci China Ser E-Tech Sci, 1999, 29: 347\u2013353","journal-title":"Sci China Ser E-Tech Sci"},{"key":"4270_CR7","unstructured":"Szabo P G, Markot M C, Csendes T, et al. New Approaches to Circle Packing in a Square. Springer, 2007"},{"key":"4270_CR8","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1137\/S1052623403425617","volume":"16","author":"M. C. Markot","year":"2005","unstructured":"Markot M C, Csendes T. A new verified optimization technique for the \u201cpacking circles in a unit square\u201d problems. SIAM J Optimiz, 2005, 16: 193\u2013219","journal-title":"SIAM J Optimiz"},{"key":"4270_CR9","doi-asserted-by":"crossref","first-page":"1742","DOI":"10.1016\/j.cor.2006.10.012","volume":"35","author":"Z. P. Lu","year":"2008","unstructured":"Lu Z P, Huang W Q. PERM for solving circle packing problem. Comput Oper Res, 2008, 35: 1742\u20131755","journal-title":"Comput Oper Res"},{"key":"4270_CR10","doi-asserted-by":"crossref","first-page":"1941","DOI":"10.1016\/j.cor.2003.12.006","volume":"32","author":"D. Zhang","year":"2005","unstructured":"Zhang D, Deng A. An effective hybrid algorithm for the problem of packing circles into a larger containing circle. Comput Oper Res, 2005, 32: 1941\u20131951","journal-title":"Comput Oper Res"},{"key":"4270_CR11","first-page":"993","volume":"28","author":"W. Q. Huang","year":"2008","unstructured":"Huang W Q, Ye T. Quasi-physical algorithm for the equal circles packing problem (in Chinese). J Syst Sci Math Sci, 2008, 28: 993\u20131001","journal-title":"J Syst Sci Math Sci"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-011-4270-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11432-011-4270-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-011-4270-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T11:36:12Z","timestamp":1559388972000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11432-011-4270-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5,28]]},"references-count":11,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2011,7]]}},"alternative-id":["4270"],"URL":"https:\/\/doi.org\/10.1007\/s11432-011-4270-3","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,5,28]]}}}