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An algorithm for solving multiple objective integer linear programming problem
RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 4, pp. 351-364

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In the present paper a complete procedure for solving Multiple Objective Integer Linear Programming Problems is presented. The algorithm can be regarded as a corrected form and an alternative to the method that was proposed by Gupta and Malhotra. A numerical illustration is given to show that this latter can miss some efficient solutions. Whereas, the algorithm stated bellow determines all efficient solutions without missing any one.

DOI : 10.1051/ro:2003006
Keywords: multiple objective programming, integer linear programming 
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     author = {Abbas, Moncef and Chaabane, Djamal},
     title = {An algorithm for solving multiple objective integer linear programming problem},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {351--364},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {4},
     year = {2002},
     doi = {10.1051/ro:2003006},
     mrnumber = {1997929},
     zbl = {1037.90050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2003006/}
}
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Abbas, Moncef; Chaabane, Djamal. An algorithm for solving multiple objective integer linear programming problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 4, pp. 351-364. doi: 10.1051/ro:2003006

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