Operations Research (UGA), Argomento: Mixed Integer Programming

Indice degli argomenti

Mixed Integer Programming
- MIP Modelling
- Parcours Modélisation MIP (lien) URL
- Slides MIP (in English) File
- Slides MIP Modelling (in French) File
- MIP modelling exercises with corrections (22-23) File
- Know the main modelling techniques (Shadok)
- One idea, one story: meet the 1962 Procter and Gamble challenge ! Pagina
  
  Visualizzare
- Techiques générales de modélisation Lezione
  
  Visualizzare Raggiungere la fine dell'attività
  Cette leçon présente des techniques générales de modélisation en programmation linéaire en nombres entiers. Les exemples de modélisations (avec corrigés) sont les suivants. La bouteille de lait signifie qu'ils sont également proposés en atelier de modélisation (en lien sur la bouteille).
  
  Exercices d'application des techniques de modélisation
  
  Au charbon ! : mise en œuvre de divers techniques de modélisation
  
  Le journal : variables booléennes indicatrices de positivité
- OPL User Guide: modelling integer/boolean variables
- C'est le bouquet ! Virtual programming lab
  
  Ricevere una valutazione
- Toy shop Virtual programming lab
  
  Ricevere una valutazione
- Windscreens wipers Virtual programming lab
  
  Ricevere una valutazione
- Coals Virtual programming lab
  
  Ricevere una valutazione
- Cars Virtual programming lab
  
  Ricevere una valutazione
- Separate the model and the data
- OPL User Guide: using .dat files with OPL and the Caseine editor
- Lot sizing (example) Virtual programming lab
  
  Ricevere una valutazione
- Répartition équitable Virtual programming lab
  
  Ricevere una valutazione
- Matrix Sum (Euler Problem 345) Virtual programming lab
  
  Ricevere una valutazione
- Dyeing Plant Virtual programming lab
  
  Ricevere una valutazione
- Entrepôt pour produits toxiques Virtual programming lab
  
  Ricevere una valutazione
- Toys Virtual programming lab
  
  Ricevere una valutazione
- Fire stations Virtual programming lab
- Positioning cyclo-logistics depots in Bordeaux Virtual programming lab
  
  Ricevere una valutazione
- Positioning cyclo-logistics depots in Bordeaux (cont.) Virtual programming lab
  
  Condizioni per l'accesso: L'attività Positioning cyclo-logistics depots in Bordeaux deve risultare spuntata come completata
- Planification spaciale marine (avec corrections) URL
- Marine Spatial Planning (with corrections) Pagina
- Mutualization of physical infrastructures (with corrections) File
- Know the main combinatorial optimization problems and model them as an integer linear program: knapsack, bin packing, set covering, set partitionning, minimum cost flow, shortest path.
- One idea, one story: when the salesman started its travel Pagina
  
  Visualizzare
- Problèmes classiques d'optimisation combinatoire (in French) File
  Ce document présente des modélisations pour les problèmes classiques d'optimisation combinatoire :
  
  Sac-à-dos : piste verte
  
  Bin packing : piste rouge
  
  Couverture d'ensemble : piste bleue
  
  Flot de cout minimum : piste rouge
  
  Plus court chemin : cas particulier du précédent
- Bin packing Virtual programming lab
  
  Ricevere una valutazione
- Independent Set (Stable) Virtual programming lab
  
  Ricevere una valutazione
- Maximum Matching Virtual programming lab
  
  Ricevere una valutazione
- Chromatic number Virtual programming lab
  
  Ricevere una valutazione
- A la recherche des Exoplanètes URL
- MIP Solving
- Parcours MIP solving (lien) URL
- Skills Solving
  
  Know the definition of a linear relaxation
  
  Know the relation between the value of an optimal solution of the MIP and of the linear relaxation
  
  Be able to explain the principle of the Branch and Bound algorithm graphically (2 variables)
  
  Know which variable can be branched on and the branching conditions
  
  Know how to calculate the lower and upper bound during the execution of the algorithm
  
  Know the conditions that allow to cut a branch
- Branch and bound and Linear Relaxation
- Slides MIP solving (en anglais) File
- Slides MIP résolution (en français) File
- Vidéo (13min): Mise en oeuvre de l'algorithme de branch and bound Pagina
- Branch & Bound course test Quiz
  
  Ricevere una valutazione
- Branch & bound training Quiz
  
  Ricevere una valutazione
- Branch and Bound Training again Quiz
  
  Ricevere una valutazione
- Exercice Branch and Bound sur le sac-à-dos corrigé File
- Comprendre couplage, transversal et 2-approximation du transversal avec la programmation linéaire en vidéos URL
- Formulation and cuts
- Formulation and cuts Libro
- Formulations* Quiz
  
  Ricevere una valutazione
- Bin packing (without cuts) Virtual programming lab

Indice degli argomenti

Mixed Integer Programming

MIP Modelling

MIP Solving