{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T17:56:31Z","timestamp":1725558991644},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540260035"},{"type":"electronic","value":"9783540320418"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11425076_8","type":"book-chapter","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T14:27:56Z","timestamp":1279031276000},"page":"101-111","source":"Crossref","is-referenced-by-count":0,"title":["Global Optimization of Convex Multiplicative Programs by Duality Theory"],"prefix":"10.1007","author":[{"given":"R\u00fabia M.","family":"Oliveira","sequence":"first","affiliation":[]},{"given":"Paulo A. V.","family":"Ferreira","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"8_CR1","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/978-1-4615-2025-2_8","volume-title":"Handbook of Global Optimization","author":"H. Konno","year":"1995","unstructured":"Konno, H., Kuno, T.: Multiplicative programming problems. In: Horst, R., Pardalos, P.M. (eds.) Handbook of Global Optimization, pp. 369\u2013405. Kluwer Academic Publishers, Netherlands (1995)"},{"key":"8_CR2","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1023\/A:1022600232285","volume":"94","author":"H.P. Benson","year":"1997","unstructured":"Benson, H.P., Boger, G.M.: Multiplicative programming problems: Analysis and efficient point search heuristic. Journal of Optimization Theory and Applications\u00a094, 487\u2013510 (1997)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"8_CR3","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1023\/A:1008316429329","volume":"15","author":"H.P. Benson","year":"1999","unstructured":"Benson, H.P.: An outcome space branch and bound-outer approximation algorithm for convex multiplicative programming. Journal of Global Optimization\u00a015, 315\u2013342 (1999)","journal-title":"Journal of Global Optimization"},{"key":"8_CR4","doi-asserted-by":"publisher","first-page":"652","DOI":"10.1287\/mnsc.16.11.652","volume":"16","author":"A.M. Geoffrion","year":"1970","unstructured":"Geoffrion, A.M.: Elements of large-scale mathematical programming. Management Science\u00a016, 652\u2013691 (1970)","journal-title":"Management Science"},{"key":"8_CR5","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1007\/BF00939667","volume":"78","author":"C.A. Floudas","year":"1993","unstructured":"Floudas, C.A., Visweswaram, V.: A primal-relaxed dual global optimization approach. Journal of Optimization Theory and Applications\u00a078, 187\u2013225 (1993)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"8_CR6","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1023\/A:1014865432210","volume":"133","author":"N.V. Thoai","year":"2002","unstructured":"Thoai, N.V.: Convergence and application of a decomposition method using dualitybounds for nonconvex global optimization. Journal of Optimization Theory and Applications\u00a0133, 165\u2013193 (2002)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"8_CR7","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/BF00934810","volume":"10","author":"A.M. Geoffrion","year":"1972","unstructured":"Geoffrion, A.M.: Generalized Benders decomposition. Journal of Optimization Theory and Applications\u00a010, 237\u2013260 (1972)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"8_CR8","volume-title":"Multiple-Criteria Decision Making","author":"P.-L. Yu","year":"1985","unstructured":"Yu, P.-L.: Multiple-Criteria Decision Making. Plenum Press, New York (1985)"},{"key":"8_CR9","volume-title":"Introduction to Global Optimization","author":"R. Horst","year":"1995","unstructured":"Horst, R., Pardalos, P.M., Thoai, N.V.: Introduction to Global Optimization. Kluwer Academic Publishers, Netherlands (1995)"},{"key":"8_CR10","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1287\/opre.15.1.39","volume":"15","author":"A.M. Geoffrion","year":"1967","unstructured":"Geoffrion, A.M.: Solving bicriterion mathematical programs. Operations Research\u00a015, 39\u201354 (1967)","journal-title":"Operations Research"},{"key":"8_CR11","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/0166-218X(87)90006-0","volume":"17","author":"N. Katoh","year":"1987","unstructured":"Katoh, N., Ibaraki, T.: A parametric characterization and an \u2208-approximation scheme for the minimization of a quasiconcave program. Discrete Applied Mathematics\u00a017, 39\u201366 (1987)","journal-title":"Discrete Applied Mathematics"},{"key":"8_CR12","volume-title":"Optimization Theory for Large Systems","author":"L.S. Lasdon","year":"1970","unstructured":"Lasdon, L.S.: Optimization Theory for Large Systems. MacMillan Publishing Co., New York (1970)"},{"key":"8_CR13","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1016\/0167-6377(91)90042-N","volume":"10","author":"P.C. Chen","year":"1991","unstructured":"Chen, P.C., Hansen, P., Jaumard, B.: On-line and off-line vertex enumeration by adjacency lists. Operations Rsearch Letters\u00a010, 403\u2013409 (1991)","journal-title":"Operations Rsearch Letters"},{"key":"8_CR14","unstructured":"MATLAB User\u2019s Guide, The MathWorks Inc., \n                    \n                      http:\/\/www.mathworks.com\/"},{"key":"8_CR15","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BF01096774","volume":"3","author":"T. Kuno","year":"1993","unstructured":"Kuno, T., Yajima, Y., Konno, H.: An outer approximation method for minimizing the product of several convex functions on a convex set. Journal of Global Optimization\u00a03, 325\u2013335 (1993)","journal-title":"Journal of Global Optimization"}],"container-title":["Lecture Notes in Computer Science","Global Optimization and Constraint Satisfaction"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11425076_8.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:06:26Z","timestamp":1619507186000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11425076_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540260035","9783540320418"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/11425076_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}