A generalized subgradient method with relaxation step
Mathematical Programming: Series A and B
Adapting polyhedral properties from facility to hub location problems
Discrete Applied Mathematics - The fourth international colloquium on graphs and optimisation (GO-IV)
Journal of Global Optimization
Computers and Operations Research
The multi-period incremental service facility location problem
Computers and Operations Research
Twenty-Five Years of Hub Location Research
Transportation Science
Choosing point-to-point versus hub-and-spoke flights: a genetic algorithmic approach
Proceedings of the 2012 Symposium on Emerging Applications of M&S in Industry and Academia Symposium
Exact Solution of Large-Scale Hub Location Problems with Multiple Capacity Levels
Transportation Science
Computers and Industrial Engineering
The Vanpool Assignment Problem: Optimization models and solution algorithms
Computers and Industrial Engineering
A Stackelberg hub arc location model for a competitive environment
Computers and Operations Research
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This paper presents a dynamic (or multi-period) hub location problem. It proposes a branch-and-bound algorithm that uses a Lagrangian relaxation to obtain lower and upper bounds at the nodes of the tree. The Lagrangian function exploits the structure of the problem and can be decomposed into smaller subproblems that can be solved efficiently. In addition, some reduction procedures based on the Lagrangian bounds are implemented. These yield a considerable reduction of the size of the problem and thus help reduce the computational burden. Numerical results on a set of instances with up to 100 nodes and 10 time periods are reported.