{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,7]],"date-time":"2024-12-07T05:06:06Z","timestamp":1733547966661,"version":"3.30.1"},"reference-count":15,"publisher":"EDP Sciences","issue":"6","license":[{"start":{"date-parts":[[2024,12,6]],"date-time":"2024-12-06T00:00:00Z","timestamp":1733443200000},"content-version":"vor","delay-in-days":35,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Oper. Res."],"accepted":{"date-parts":[[2024,9,11]]},"published-print":{"date-parts":[[2024,11]]},"abstract":"<jats:p>This paper proposes a new convex underestimator for general <jats:italic>C<\/jats:italic><jats:sup>2<\/jats:sup> nonconvex functions. The new underestimator can be used in the branch and bound algorithm <jats:italic>\u03b1<\/jats:italic>BB for solving global optimization problems. We show that the new underestimator is tighter than the classical underestimator in the <jats:italic>\u03b1<\/jats:italic>BB method.<\/jats:p>","DOI":"10.1051\/ro\/2024176","type":"journal-article","created":{"date-parts":[[2024,9,13]],"date-time":"2024-09-13T08:08:40Z","timestamp":1726214920000},"page":"5051-5062","source":"Crossref","is-referenced-by-count":0,"title":["Tighter convex underestimator for general twice differentiable function for global optimization"],"prefix":"10.1051","volume":"58","author":[{"given":"Djamel","family":"Zerrouki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohand","family":"Ouanes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2024,12,6]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/BF00121749","volume":"9","author":"Adjiman","year":"1996","journal-title":"J. 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(2024). https:\/\/github.com\/zerroukidj\/alphaBBalgorithm."}],"container-title":["RAIRO - Operations Research"],"original-title":[],"link":[{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2024176\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,6]],"date-time":"2024-12-06T08:49:19Z","timestamp":1733474959000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2024176"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11]]},"references-count":15,"journal-issue":{"issue":"6"},"alternative-id":["ro220297"],"URL":"https:\/\/doi.org\/10.1051\/ro\/2024176","relation":{},"ISSN":["0399-0559","2804-7303"],"issn-type":[{"type":"print","value":"0399-0559"},{"type":"electronic","value":"2804-7303"}],"subject":[],"published":{"date-parts":[[2024,11]]}}}