{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T14:07:34Z","timestamp":1748614054249,"version":"3.37.3"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,7,18]],"date-time":"2018-07-18T00:00:00Z","timestamp":1531872000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1007\/s10589-018-0023-1","type":"journal-article","created":{"date-parts":[[2018,7,18]],"date-time":"2018-07-18T19:22:45Z","timestamp":1531941765000},"page":"719-741","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A new reduced gradient method for solving linearly constrained multiobjective optimization problems"],"prefix":"10.1007","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0884-0456","authenticated-orcid":false,"given":"Mustapha","family":"El Moudden","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmed","family":"El Ghali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,7,18]]},"reference":[{"key":"23_CR1","series-title":"Lecture Notes in Economics and Mathematical Systems","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-50280-4","volume-title":"Theory of Vector Optimization","author":"Dinh The Luc","year":"1989","unstructured":"Luc, D.T.: Theory of Vector Optimization. Lectures Notes in Economics and Mathematical Systems, vol. 319. Springer-Verlag, Berlin (1989). \n                    https:\/\/doi.org\/10.1007\/978-3-642-50280-4"},{"key":"23_CR2","volume-title":"Nonlinear Multiobjective Optimization","author":"K Miettinen","year":"2012","unstructured":"Miettinen, K.: Nonlinear Multiobjective Optimization, vol. 12. Springer, Berlin (2012)"},{"key":"23_CR3","volume-title":"Multicriteria Optimization","author":"M Ehrgott","year":"2013","unstructured":"Ehrgott, M.: Multicriteria Optimization, vol. 491. Springer, Berlin (2013)"},{"issue":"2","key":"23_CR4","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1137\/08071692X","volume":"20","author":"J Fliege","year":"2009","unstructured":"Fliege, J., Drummond, L.M.G., Svaiter, B.F.: Newton\u2019s method for multiobjective optimization. SIAM J. Optim. 20(2), 602 (2009)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"23_CR5","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/s001860000043","volume":"51","author":"J Fliege","year":"2000","unstructured":"Fliege, J., Svaiter, B.F.: Steepest descent methods for multicriteria optimization. Math. Methods Oper. Res. 51(3), 479 (2000)","journal-title":"Math. Methods Oper. Res."},{"issue":"1","key":"23_CR6","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1023\/B:COAP.0000018877.86161.8b","volume":"28","author":"LG Drummond","year":"2004","unstructured":"Drummond, L.G., Iusem, A.N.: A projected gradient method for vector optimization problems. Comput. Optim. Appl. 28(1), 5 (2004)","journal-title":"Comput. Optim. Appl."},{"key":"23_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-018-0483-5","author":"M Moudden El","year":"2018","unstructured":"El Moudden, M., El Ghali, A.: Multiple reduced gradient method for multiobjective optimization problems. Numer. Algorithms (2018). \n                    https:\/\/doi.org\/10.1007\/s11075-018-0483-5","journal-title":"Numer. Algorithms"},{"key":"23_CR8","unstructured":"Wolfe, P.: The reduced gradient method, Rand Document. Santa Monica, CA (1962)"},{"key":"23_CR9","unstructured":"Huard, P.: Un algorithme g\u00e9n\u00e9ral de gradient r\u00e9duit. Bulletin de la Direction des Etudes et Recherches, EDF, S\u00e9rie C 2, 91 (1982)"},{"key":"23_CR10","volume-title":"Linear and Nonlinear Programming","author":"D Luenberger","year":"1984","unstructured":"Luenberger, D., Ye, Y.: Linear and Nonlinear Programming, vol. 2. Springer, Berlin (1984)"},{"key":"23_CR11","unstructured":"Baushev, A., Morozova, E.: A Multidimensional Bisection Method for Minimizing Function Over Simplex. Lectures Notes in Engineering and Computer Science, vol. 2, pp. 801\u2013803 (2007)"},{"issue":"6","key":"23_CR12","doi-asserted-by":"publisher","first-page":"722","DOI":"10.1016\/j.orl.2008.07.010","volume":"36","author":"UM Garc\u00eda-Palomares","year":"2008","unstructured":"Garc\u00eda-Palomares, U.M., Burguillo-Rial, J.C., Gonz\u00e1lez-Castano, F.J.: Explicit gradient information in multiobjective optimization. Oper. Res. Lett. 36(6), 722 (2008)","journal-title":"Oper. Res. Lett."},{"key":"23_CR13","unstructured":"Miglierina, E., Molho, E., Recchioni, M.: An interior point method for linearly constrained multiobjective optimization based on suitable descent directions. In Recent Developments on Mathematical Programming and Applications, (Pisa, 05-05 June 2009), Aracne editrice, Roma, pp. 89\u2013102 (2009)"},{"issue":"2","key":"23_CR14","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1023\/A:1004657629105","volume":"104","author":"H Benson","year":"2000","unstructured":"Benson, H., Boger, G.: Outcome-space cutting-plane algorithm for linear multiplicative programming. J. Optim. Theory Appl. 104(2), 301 (2000)","journal-title":"J. Optim. Theory Appl."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-018-0023-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-018-0023-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-018-0023-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,17]],"date-time":"2019-07-17T19:28:37Z","timestamp":1563391717000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-018-0023-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,18]]},"references-count":14,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["23"],"URL":"https:\/\/doi.org\/10.1007\/s10589-018-0023-1","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2018,7,18]]},"assertion":[{"value":"18 March 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2018","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}