Solving a Fuzzy Capacitated Two-Index Transportation Problem / Ghada Khadidja Moussi

Public ISBD Titre : Solving a Fuzzy Capacitated Two-Index Transportation Problem Type de document : document électronique Auteurs : Ghada Khadidja Moussi, Auteur ; Asma Bouragba, Auteur ; Rachid Zitouni, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2026 Importance : 1 vol (72 f.) Format : 29 cm Note générale : Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Linear programming, Classical transportation problem, Capacitated two-index transportation problem, Transportation Algorithm. Fuzzy mathematics Résumé : The transportation problem is a fundamental model in operations research. It aims to minimize distribution costs while satisfying supply and demand constraints. The classical formulations of this problem rely on the assumption that all model parameters are perfectly known, which is rarely the case in real-world applications. In practice, unit transportation costs, availabilities, or demands are often subject to uncertainty or imprecision. To account for these aspects, the concepts of fuzzy logic, fuzzy sets, and fuzzy numbers have been introduced. These tools make it possible to formulate and analyze the two-index capacitated transportation problem in a fuzzy environment. The integration of fuzzy theory into transportation models provides a more realistic representation of decision-making situations and constitutes a particularly effective decision-support tool. In this dissertation, we focus on the study and resolution of a two-index capacitated transportation problem in a fuzzy context. To assess the performance of the proposed approach, we conducted a comparative numerical study with an advanced linear programming solver used as a benchmark. The obtained results are promising and confirm the effectiveness of our approach. Côte titre : MAM/0875 Solving a Fuzzy Capacitated Two-Index Transportation Problem [document électronique] / Ghada Khadidja Moussi, Auteur ; Asma Bouragba, Auteur ; Rachid Zitouni, Directeur de thèse . - [S.l.] : Sétif:UFS, 2026 . - 1 vol (72 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Linear programming, Classical transportation problem, Capacitated two-index transportation problem, Transportation Algorithm. Fuzzy mathematics Résumé : The transportation problem is a fundamental model in operations research. It aims to minimize distribution costs while satisfying supply and demand constraints. The classical formulations of this problem rely on the assumption that all model parameters are perfectly known, which is rarely the case in real-world applications. In practice, unit transportation costs, availabilities, or demands are often subject to uncertainty or imprecision. To account for these aspects, the concepts of fuzzy logic, fuzzy sets, and fuzzy numbers have been introduced. These tools make it possible to formulate and analyze the two-index capacitated transportation problem in a fuzzy environment. The integration of fuzzy theory into transportation models provides a more realistic representation of decision-making situations and constitutes a particularly effective decision-support tool. In this dissertation, we focus on the study and resolution of a two-index capacitated transportation problem in a fuzzy context. To assess the performance of the proposed approach, we conducted a comparative numerical study with an advanced linear programming solver used as a benchmark. The obtained results are promising and confirm the effectiveness of our approach. Côte titre : MAM/0875

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0875	MAM/0875	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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