University Sétif 1 FERHAT ABBAS Faculty of Sciences
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Titre : Study of some numerical optimization models Type de document : document électronique Auteurs : Maroua Hakim, Auteur ; Rachid Zitouni, Directeur de thèse Editeur : Setif:UFA Année de publication : 2025 Importance : 1 vol (84 f.) Format : 29 cm Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Linear programming
Fuzzy mathematics
Fixed charge transportation problem
Multi-index transportation problem
Multi-objective optimization
MetaheuristicsIndex. décimale : 510 - Mathématique Résumé :
In this thesis, we are interested in the study and resolution of two transportation models not
previously addressed and responding to the needs of users in the concrete world: the fuzzy four-index fixed charge transportation problem and the fuzzy bi-objective four index fixed
charge transportation problem. To solve the first model, we propose an extension of M. L. Balinski’s method and some metaheuristics adapted to this problem, followed by a numerical
comparative study between these algorithms. For solving the second model, we introduce a new approach based mainly on the method of Khurana et al. and that of Zitouni et al.,
followed by different numerical experiments in the aim of testing the effectiveness and the robustness of this approach. Results obtained are very satisfactory.Note de contenu : Sommaire
Introduction 2
1 GeneralitiesandPreliminaries 5
1.1 Linearprogramming . ...........................5
1.2 Fourindextransportationproblem . ...................8
1.3 Multi-ObjectiveOptimization . ......................13
1.4 Preliminariesonfuzzysettheory . ....................18
2 FuzzyFour-indexFixed-ChargeTransportationProblem 25
2.1 Introduction . ................................25
2.2 LiteratureReview . .............................25
2.3 Preliminariesonmetaheuristics . .....................27
2.4 Problemposition . .............................35
2.5 ApplicationofmetaheuristicstosolveFFCTP4 . .............37
2.6 ApproximationmethodtosolveFFCTP4 . ................48
2.7 Experimentresultsandcomparativestudy . ...............51
2.8 Conclusion . .................................55
3 FuzzyBi-ObjectiveFour-indexFixed-ChargeTransportationProblem 56
3.1 Introduction . ................................56
3.2 LiteratureReview . .............................56
3.3 Problemposition . .............................58
3.4 ResolutionofFBOFCTP4 . .........................59
3.5 Computationalresults . ..........................65
3.6 Conclusion . .................................75
General conclusionandfuturework 77Côte titre : DM/0206 Study of some numerical optimization models [document électronique] / Maroua Hakim, Auteur ; Rachid Zitouni, Directeur de thèse . - [S.l.] : Setif:UFA, 2025 . - 1 vol (84 f.) ; 29 cm.
Langues : Anglais (eng)
Catégories : Thèses & Mémoires:Mathématique Mots-clés : Linear programming
Fuzzy mathematics
Fixed charge transportation problem
Multi-index transportation problem
Multi-objective optimization
MetaheuristicsIndex. décimale : 510 - Mathématique Résumé :
In this thesis, we are interested in the study and resolution of two transportation models not
previously addressed and responding to the needs of users in the concrete world: the fuzzy four-index fixed charge transportation problem and the fuzzy bi-objective four index fixed
charge transportation problem. To solve the first model, we propose an extension of M. L. Balinski’s method and some metaheuristics adapted to this problem, followed by a numerical
comparative study between these algorithms. For solving the second model, we introduce a new approach based mainly on the method of Khurana et al. and that of Zitouni et al.,
followed by different numerical experiments in the aim of testing the effectiveness and the robustness of this approach. Results obtained are very satisfactory.Note de contenu : Sommaire
Introduction 2
1 GeneralitiesandPreliminaries 5
1.1 Linearprogramming . ...........................5
1.2 Fourindextransportationproblem . ...................8
1.3 Multi-ObjectiveOptimization . ......................13
1.4 Preliminariesonfuzzysettheory . ....................18
2 FuzzyFour-indexFixed-ChargeTransportationProblem 25
2.1 Introduction . ................................25
2.2 LiteratureReview . .............................25
2.3 Preliminariesonmetaheuristics . .....................27
2.4 Problemposition . .............................35
2.5 ApplicationofmetaheuristicstosolveFFCTP4 . .............37
2.6 ApproximationmethodtosolveFFCTP4 . ................48
2.7 Experimentresultsandcomparativestudy . ...............51
2.8 Conclusion . .................................55
3 FuzzyBi-ObjectiveFour-indexFixed-ChargeTransportationProblem 56
3.1 Introduction . ................................56
3.2 LiteratureReview . .............................56
3.3 Problemposition . .............................58
3.4 ResolutionofFBOFCTP4 . .........................59
3.5 Computationalresults . ..........................65
3.6 Conclusion . .................................75
General conclusionandfuturework 77Côte titre : DM/0206 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité DM/0206 DM/0206 Thèse Bibliothéque des sciences Anglais Disponible
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