Tesi etd-06192024-161722 |
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Tipo di tesi
Tesi di laurea magistrale
Autore
CONSANI, MARTINA
URN
etd-06192024-161722
Titolo
Efficiency concepts and scalarization methods for multiobjective optimization problems
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Mastroeni, Giandomenico
Parole chiave
- efficiency
- multiobjective optimization
- nondominance
- scalarization functions
- scalarization methods
Data inizio appello
12/07/2024
Consultabilità
Completa
Riassunto
In this thesis we initially define the main types of efficient solutions of a multiobjective scalarization problem in the case of the component-wise order (or Pareto order), then we discuss their
existence and some characterization of the sets of solutions. We proceed to describe some solution methods based on scalarization techniques (weighted sum scalarization method, epsilon-constraint method, Benson's scalarization method, jth-objective weighted-constraint method, conic scalarization method, goal method and Gerstewitz-Luc scalarization function) and one related to the lexicographic order.
existence and some characterization of the sets of solutions. We proceed to describe some solution methods based on scalarization techniques (weighted sum scalarization method, epsilon-constraint method, Benson's scalarization method, jth-objective weighted-constraint method, conic scalarization method, goal method and Gerstewitz-Luc scalarization function) and one related to the lexicographic order.
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