{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:39:27Z","timestamp":1740145167661,"version":"3.37.3"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2018,6,2]],"date-time":"2018-06-02T00:00:00Z","timestamp":1527897600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11501474","11401064"],"award-info":[{"award-number":["11501474","11401064"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2018,8]]},"DOI":"10.1007\/s11590-018-1265-7","type":"journal-article","created":{"date-parts":[[2018,6,2]],"date-time":"2018-06-02T03:35:36Z","timestamp":1527910536000},"page":"1455-1464","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Global optimality conditions for fixed charge quadratic programs"],"prefix":"10.1007","volume":"12","author":[{"given":"G. Q.","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Q.","family":"Long","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,6,2]]},"reference":[{"key":"1265_CR1","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/0167-6377(88)90049-1","volume":"7","author":"PM Pardalos","year":"1988","unstructured":"Pardalos, P.M., Schnitger, X.: Checking local optimality in constrained quadratic and nonlinear programming. Oper. Res. Lett. 7, 33\u201335 (1988)","journal-title":"Oper. Res. Lett."},{"key":"1265_CR2","first-page":"149","volume":"81","author":"K Aardal","year":"1998","unstructured":"Aardal, K.: Capacitated facility location: separation algorithms and computational experience. Math. Program. 81, 149\u2013175 (1998)","journal-title":"Math. Program."},{"key":"1265_CR3","doi-asserted-by":"publisher","first-page":"1255","DOI":"10.1287\/mnsc.30.10.1255","volume":"30","author":"I Barany","year":"1984","unstructured":"Barany, I., Van Roy, T.J., Wolsey, L.A.: Strong formulations for multi-item capacitated lot sizing. Manag. Sci. 30, 1255\u20131261 (1984)","journal-title":"Manag. Sci."},{"key":"1265_CR4","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/s10479-005-3972-6","volume":"40","author":"F Glover","year":"2005","unstructured":"Glover, F., Sherali, H.D.: Some classes of valid inequalities and convex hull characterizations for dynamic fixed-charge problems under nested constraints. Ann. Oper. Res. 40, 215\u2013234 (2005)","journal-title":"Ann. Oper. Res."},{"key":"1265_CR5","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1007\/s10898-007-9167-8","volume":"41","author":"C Lin","year":"2008","unstructured":"Lin, C., Vandenbusseche, D.: Box-constrained quadratic programs with charge variables. J. Global Optim. 41, 75\u2013102 (2008)","journal-title":"J. Global Optim."},{"key":"1265_CR6","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/978-0-387-89496-6_7","volume-title":"Optimization and Optimal Control Theory and Applications","author":"DY Gao","year":"2010","unstructured":"Gao, D.Y., Ruan, N., Sherali, H.D.: Canonical dual solutions for fixed cost quadratic programs. In: Chinchuluun, Altannar, Pardalos, Panos M., Enkhbat, Rentsen, Tseveendorj, Ider (eds.) Optimization and Optimal Control Theory and Applications, pp. 139\u2013156. Springer, New York (2010)"},{"key":"1265_CR7","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1007\/s10107-004-0549-0","volume":"102","author":"D Vandenbussche","year":"2005","unstructured":"Vandenbussche, D., Nemhauser, G.: A polygonal study of nonconvex quadratic programs with box constraints. Math. Program. 102, 531\u2013557 (2005)","journal-title":"Math. Program."},{"key":"1265_CR8","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1007\/s10107-004-0550-7","volume":"102","author":"D Vandenbussche","year":"2005","unstructured":"Vandenbussche, D., Nemhauser, G.: A branch and cut algorithm for nonconvex quadratic programs with box constraints. Math. Program. 102, 559\u2013575 (2005)","journal-title":"Math. Program."},{"key":"1265_CR9","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1023\/B:JOTA.0000042530.24671.80","volume":"122","author":"MC Pinar","year":"2004","unstructured":"Pinar, M.C.: Sufficient global optimality conditions for bivalent quadratic optimization. J. Optim. Theory Appl. 122, 433\u2013440 (2004)","journal-title":"J. Optim. Theory Appl."},{"key":"1265_CR10","doi-asserted-by":"crossref","first-page":"2501","DOI":"10.1016\/j.amc.2010.07.062","volume":"217","author":"GQ Li","year":"2010","unstructured":"Li, G.Q., Wu, Z.Y., Quan, J.: A new local and global optimization method for mixed integer quadratic programming problems. Appl. Math. Comput. 217, 2501\u20132512 (2010)","journal-title":"Appl. Math. Comput."},{"key":"1265_CR11","unstructured":"Hiriart-Urruty, J.B., Lemarechal, C.: Testing necessary and sufficient conditions for global optimality in the problem of maximizing a convex quadratic function over a convex polyhedron. Preliminary Report, University of Paul Sabatier, Toulouse (1990)"},{"key":"1265_CR12","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1023\/A:1012752110010","volume":"21","author":"JB Hiriart-Urruty","year":"2001","unstructured":"Hiriart-Urruty, J.B.: Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints. J. Global Optim. 21, 443\u2013453 (2001)","journal-title":"J. Global Optim."},{"key":"1265_CR13","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1137\/S1052623494261520","volume":"7","author":"JM Peng","year":"1997","unstructured":"Peng, J.M., Yuan, Y.: Optimality conditions for the minimization of a quadratic with two quadratic constraints. SIAM J. Optim. 7, 579\u2013594 (1997)","journal-title":"SIAM J. Optim."},{"key":"1265_CR14","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/s11590-008-0105-6","volume":"3","author":"Y Xia","year":"2009","unstructured":"Xia, Y.: New optimality conditions for quadratic optimization problems with binary constraints. Optim. Lett. 3, 253\u2013263 (2009)","journal-title":"Optim. Lett."},{"key":"1265_CR15","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1007\/s10107-006-0012-5","volume":"110","author":"V Jeyakumar","year":"2007","unstructured":"Jeyakumar, V., Rubinov, A.M., Wu, Z.Y.: Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Math. Program. 110, 521\u2013541 (2007)","journal-title":"Math. Program."},{"key":"1265_CR16","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1007\/s10898-006-9022-3","volume":"36","author":"V Jeyakumar","year":"2006","unstructured":"Jeyakumar, V., Rubinov, A.M., Wu, Z.Y.: Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. J. Global Optim. 36, 471\u2013481 (2006)","journal-title":"J. Global Optim."},{"key":"1265_CR17","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/s10957-007-9177-1","volume":"133","author":"ZY Wu","year":"2007","unstructured":"Wu, Z.Y., Jeyakumar, V., Rubinov, A.M.: Sufficcient conditions for globally optimality of bivalent nonconvex quadratic programs. J. Optim. Theory Appl. 133, 123\u2013130 (2007)","journal-title":"J. Optim. Theory Appl."},{"key":"1265_CR18","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1080\/02331930701761243","volume":"58","author":"ZY Wu","year":"2009","unstructured":"Wu, Z.Y., Bai, F.S.: Global optimality conditions for mixed nonconvex quadratic programs. Optimization 58, 39\u201347 (2009)","journal-title":"Optimization"},{"key":"1265_CR19","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/s11590-008-0088-3","volume":"3","author":"V Jeyakumar","year":"2009","unstructured":"Jeyakumar, V., Srisatkunarajah, S.: Lagrange multiplier necessary conditions for global optimality for non-convex minimization overa quadratic constraint via S-lemma. Optim. Lett. 3, 23\u201333 (2009)","journal-title":"Optim. Lett."},{"key":"1265_CR20","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/s11590-007-0053-6","volume":"2","author":"V Jeyakumar","year":"2008","unstructured":"Jeyakumar, V., Huy, N.Q.: Global minimization of difference of quadratic and convex functions over box or binary constraints. Optim. Lett. 2, 223\u2013238 (2008)","journal-title":"Optim. Lett."},{"key":"1265_CR21","doi-asserted-by":"publisher","first-page":"1016","DOI":"10.1016\/j.aml.2009.01.010","volume":"22","author":"V Jeyakumar","year":"2009","unstructured":"Jeyakumar, V., Srisatkunarajah, S.: A note on sufficient global optimality conditions for fixed charge quadratic programs. Appl. Math. Lett. 22, 1016\u20131020 (2009)","journal-title":"Appl. Math. Lett."},{"key":"1265_CR22","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1007\/s10898-009-9480-5","volume":"47","author":"YJ Wang","year":"2010","unstructured":"Wang, Y.J., Liang, Z.A.: Global optimality conditions for cubic minimization problem with box or binary constraints. J. Global Optim. 47, 583\u2013595 (2010)","journal-title":"J. Global Optim."},{"key":"1265_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-017-1214-x","author":"AS Strekalovsky","year":"2017","unstructured":"Strekalovsky, A.S.: Global optimality conditions and exact penalization. Optim. Lett. (2017). https:\/\/doi.org\/10.1007\/s11590-017-1214-x","journal-title":"Optim. Lett."},{"key":"1265_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3200-9","volume-title":"Abstract Convexity and Global Optimization","author":"AM Rubinov","year":"2000","unstructured":"Rubinov, A.M.: Abstract Convexity and Global Optimization. Kluwer, Dordrecht (2000)"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-018-1265-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-018-1265-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-018-1265-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,3]],"date-time":"2020-11-03T01:41:36Z","timestamp":1604367696000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-018-1265-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,2]]},"references-count":24,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2018,8]]}},"alternative-id":["1265"],"URL":"https:\/\/doi.org\/10.1007\/s11590-018-1265-7","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"type":"print","value":"1862-4472"},{"type":"electronic","value":"1862-4480"}],"subject":[],"published":{"date-parts":[[2018,6,2]]},"assertion":[{"value":"13 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 April 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 June 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}