{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T10:43:46Z","timestamp":1774262626755,"version":"3.50.1"},"reference-count":18,"publisher":"Scientific and Business World","license":[{"start":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T00:00:00Z","timestamp":1404172800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Decision Sciences"],"published-print":{"date-parts":[[2014,7,1]]},"abstract":"<jats:p>We describe an improvement of Chergui and Moula\u00ef\u2019s method (2008) that generates the whole efficient set of a multiobjective integer linear fractional program based on the branch and cut concept. The general step of this method consists in optimizing (maximizing without loss of generality) one of the fractional objective functions over a subset of the original continuous feasible set; then if necessary, a branching process is carried out until obtaining an integer feasible solution. At this stage, an efficient cut is built from the criteria\u2019s growth directions in order to discard a part of the feasible domain containing only nonefficient solutions. Our contribution concerns firstly the optimization process where a linear program that we define later will be solved at each step rather than a fractional linear program. Secondly, local ideal and nadir points will be used as bounds to prune some branches leading to nonefficient solutions. The computational experiments show that the new method outperforms the old one in all the treated instances.<\/jats:p>","DOI":"10.1155\/2014\/306456","type":"journal-article","created":{"date-parts":[[2014,7,2]],"date-time":"2014-07-02T08:53:30Z","timestamp":1404291210000},"page":"1-7","source":"Crossref","is-referenced-by-count":2,"title":["An Improved Method for Solving Multiobjective Integer Linear Fractional Programming Problem"],"prefix":"10.47654","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6655-4792","authenticated-orcid":true,"given":"Meriem","family":"Ait Mehdi","sequence":"first","affiliation":[{"name":"Department of Operational Research, Faculty of Mathematics, Houari Boumediene University of Sciences and Technology, P.O. Box 32, El-Alia Bab Ezzouar, 16111 Algiers, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed El-Amine","family":"Chergui","sequence":"additional","affiliation":[{"name":"Department of Operational Research, Faculty of Mathematics, Houari Boumediene University of Sciences and Technology, P.O. Box 32, El-Alia Bab Ezzouar, 16111 Algiers, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moncef","family":"Abbas","sequence":"additional","affiliation":[{"name":"Department of Operational Research, Faculty of Mathematics, Houari Boumediene University of Sciences and Technology, P.O. Box 32, El-Alia Bab Ezzouar, 16111 Algiers, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"52777","reference":[{"issue":"103-104","key":"1","first-page":"15","volume":"32","year":"2002","journal-title":"Journal of the Italian Operations Research Society"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1155\/2008\/760191"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1080\/02331939508844157"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(03)00141-2"},{"issue":"1","key":"5","first-page":"9","volume":"1","year":"1999","journal-title":"Advanced Modeling and Optimization"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s00291-004-0191-5"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.11.051"},{"issue":"3","key":"9","first-page":"245","volume":"2","year":"2012","journal-title":"International Journal of Fuzzy Mathematics and Systems"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/435030"},{"issue":"9","key":"12","doi-asserted-by":"crossref","first-page":"1024","DOI":"10.1287\/mnsc.27.9.1024","volume":"27","year":"1981","journal-title":"Management Science"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00298-2"},{"issue":"3","key":"17","first-page":"128","volume":"3","year":"2013","journal-title":"International Journal of Engineering and Innovative Technology"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.05.046"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1080\/02331930600819613"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-0035-6"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01584098"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/02331939208843743"},{"issue":"2","key":"14","first-page":"9","volume":"62","year":"1980","journal-title":"Journal of the Indian Institute of Science"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/306456.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/306456.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/306456.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:10:07Z","timestamp":1601309407000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2014\/306456\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,1]]},"references-count":18,"alternative-id":["306456","306456"],"URL":"https:\/\/doi.org\/10.1155\/2014\/306456","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"value":"2090-3359","type":"print"},{"value":"2090-3367","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,1]]}}}