{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T12:38:47Z","timestamp":1779885527901,"version":"3.53.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2009,10,11]],"date-time":"2009-10-11T00:00:00Z","timestamp":1255219200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2010,7]]},"DOI":"10.1007\/s10898-009-9475-2","type":"journal-article","created":{"date-parts":[[2009,10,10]],"date-time":"2009-10-10T12:02:27Z","timestamp":1255176147000},"page":"485-501","source":"Crossref","is-referenced-by-count":21,"title":["$${{\\mathcal {D}(\\mathcal {C})}}$$ -optimization and robust global optimization"],"prefix":"10.1007","volume":"47","author":[{"given":"Hoang","family":"Tuy","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2009,10,11]]},"reference":[{"key":"9475_CR1","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s101079900106","volume":"87","author":"C. Audet","year":"2000","unstructured":"Audet C., Hansen P., Jaumard B., Savard G.: A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. Math. Progr. Ser. A 87, 131\u2013152 (2000)","journal-title":"Math. Progr. Ser. A"},{"key":"9475_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03199-5","volume-title":"Global Optimization: Deterministic Approaches","author":"R. Horst","year":"1996","unstructured":"Horst R., Tuy H.: Global Optimization: Deterministic Approaches. 3rd edn. Springer, Berlin (1996)","edition":"3"},{"key":"9475_CR3","doi-asserted-by":"crossref","first-page":"796","DOI":"10.1137\/S1052623400366802","volume":"11","author":"J. Lasserre","year":"2001","unstructured":"Lasserre J.: Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11, 796\u2013817 (2001)","journal-title":"SIAM J. Optim."},{"key":"9475_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4388-3","volume-title":"A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems","author":"H. Sherali","year":"1999","unstructured":"Sherali H., Adams W.: A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems. Kluwer, Dordrecht (1999)"},{"key":"9475_CR5","first-page":"100","volume":"22","author":"A.N. Tikhonov","year":"1980","unstructured":"Tikhonov A.N.: On a reciprocity principle. Sov. Math. Dokl. 22, 100\u2013103 (1980)","journal-title":"Sov. Math. Dokl."},{"key":"9475_CR6","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1007\/BF00938217","volume":"52","author":"H. Tuy","year":"1987","unstructured":"Tuy H.: Convex programs with an additional reverse convex constraint. J. Optim. Theory Appl. 52, 463\u2013486 (1987)","journal-title":"J. Optim. Theory Appl."},{"key":"9475_CR7","volume-title":"Convex Analysis and Global Optimization","author":"H. Tuy","year":"1978","unstructured":"Tuy H.: Convex Analysis and Global Optimization. Kluwer, Dordrecht (1978)"},{"issue":"2","key":"9475_CR8","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1137\/S1052623499359828","volume":"11","author":"H. Tuy","year":"2000","unstructured":"Tuy H.: Monotonic optimization: problems and solution approaches. SIAM J. Optim. 11(2), 464\u2013494 (2000)","journal-title":"SIAM J. Optim."},{"key":"9475_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1014004625997","volume":"23","author":"H. Tuy","year":"2002","unstructured":"Tuy H., Hoai Phuong N.T.: A unified monotonic approach to generalized linear fractional programming. J. Glob. Optim. 23, 1\u201331 (2002)","journal-title":"J. Glob. Optim."},{"key":"9475_CR10","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1023\/B:JOGO.0000035016.74398.e6","volume":"29","author":"H. Tuy","year":"2004","unstructured":"Tuy H., Thach P.T., Konno H.: Optimization of polynomial fractional functions. J. Glob. Optim. 29, 19\u201344 (2004)","journal-title":"J. Glob. Optim."},{"key":"9475_CR11","doi-asserted-by":"crossref","unstructured":"Tuy, H., Al-Khayyal, F., Thach, P.T.: Monotonic optimization: branch and cut methods. In: Audet, C., Hansen, P., Savard, G. Essays and Surveys on Global Optimization, Springer, Berlin, pp. 39\u201378 (2005)","DOI":"10.1007\/0-387-25570-2_2"},{"key":"9475_CR12","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/s10898-004-2707-6","volume":"32","author":"H. Tuy","year":"2005","unstructured":"Tuy H.: Robust solution of nonconvex global optimization problems. J. Glob. Optim. 32, 307\u2013323 (2005)","journal-title":"J. Glob. Optim."},{"key":"9475_CR13","first-page":"357","volume":"1","author":"H. Tuy","year":"2005","unstructured":"Tuy H.: Polynomial optimization: a robust approach. Pac. J. Optim. 1, 357\u2013374 (2005)","journal-title":"Pac. J. Optim."},{"key":"9475_CR14","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1137\/04060932X","volume":"17","author":"H. Tuy","year":"2006","unstructured":"Tuy H., Minoux M., Hoai-Phuong N.T.: Discrete monotonic optimization with application to a discrete location problem. SIAM J. Optim. 17, 78\u201397 (2006)","journal-title":"SIAM J. Optim."},{"key":"9475_CR15","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1007\/s10898-006-9063-7","volume":"37","author":"H. Tuy","year":"2007","unstructured":"Tuy H., Hoai-Phuong N.T.: A robust algorithm for quadratic optimization under quadratic constraints. J. Glob. Optim. 37, 557\u2013569 (2007)","journal-title":"J. Glob. Optim."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-009-9475-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-009-9475-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-009-9475-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T04:58:54Z","timestamp":1559278734000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-009-9475-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,11]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,7]]}},"alternative-id":["9475"],"URL":"https:\/\/doi.org\/10.1007\/s10898-009-9475-2","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,10,11]]}}}