Column generation with dual inequalities for railway crew scheduling problems.
Tatsushi NishiYuki MuroiMasahiro InuiguchiPublished in: Public Transp. (2011)
Keyphrases
- column generation
- scheduling problem
- valid inequalities
- cutting plane algorithm
- dual variables
- linear programming
- linear program
- branch and bound
- integer programming
- primal dual
- cutting plane
- np hard
- mixed integer programming
- integer program
- vehicle routing
- integer linear programming
- set partitioning
- lagrangean relaxation
- exact solution
- optimal solution
- lagrangian relaxation
- set covering problem
- constraint programming
- linear programming relaxation
- tabu search
- vehicle routing problem with time windows
- set covering
- sufficient conditions
- lower bound
- search algorithm
- objective function
- mixed integer
- dual formulation