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 Metaheuristics
Index. 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 77
Côte 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 Metaheuristics
Index. 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 77
Côte titre :	DM/0206