Študenti se bodo seznanili z naprednimi optimizacijskimi formulacijami, ki se pojavljajo v sodobnih raziskavah in aplikacijah. Predmet zagotavlja sistematičen pregled problemskih struktur, formulacijskih paradigem in pristopov k reševanju v različnih razredih optimizacijskih problemov.
Obravnavane bodo različne problemske strukture, vključno z večnivojskimi in hierarhičnimi formulacijami, problemi z negotovostjo, več-ciljinimi formulacijami, diskretno-zveznimi problemi, implicitnimi in črno-škatljastimi strukturami, dinamičnimi in časovnimi problemi ter specializiranimi omejitvami. Za vsak razred problemov bodo predstavljeni pristopi k reševanju.
Poudarek je na prepoznavanju in klasifikaciji problemov z uporabo uveljavljenih taksonomij, razumevanju povezav med značilnostmi problema in ustreznimi formulacijskimi paradigmami ter razvoju sistemskih pristopov k izbiri formulacij. Študenti bodo analizirali raziskovalno literaturo za razumevanje vpliva formulacijskih izbir na metode reševanja in raziskovalne rezultate.
Cilj je zagotoviti celovit pregled optimizacijskih formulacij, kar študentom omogoča prepoznavanje problemskih struktur v lastnih raziskavah, izbiro ustreznih modelirnih paradigem in učinkovito formuliranje kompleksnih odločitvenih problemov v različnih aplikacijskih domenah.
Students will be introduced to advanced optimization formulations encountered in contemporary research and applications. The course provides a systematic overview of problem structures, formulation paradigms, and solution approaches across diverse optimization problem classes.
Topics cover various problem structures including multilevel and hierarchical formulations, problems with uncertainty, multiobjective formulations, discrete-continuous problems, implicit and black-box structures, dynamic and temporal problems, and specialized constraints. For each problem class, solution approaches will be presented.
The course emphasizes problem recognition and classification using established taxonomies and frameworks, understanding relationships between problem characteristics and appropriate formulation paradigms, and developing systematic approaches to formulation selection. Students will analyze research literature to understand how formulation choices impact solution methods and research outcomes.
The goal is to provide comprehensive exposure to optimization formulations, enabling students to recognize problem structures in their research, select appropriate modeling paradigms, and effectively formulate complex decision problems across different application domains.