Finding GM-estimators with global optimization techniques
Journal of Global Optimization
A General Global Optimization Approach for Solving Location Problems in the Plane
Journal of Global Optimization
Locating Objects in the Plane Using Global Optimization Techniques
Mathematics of Operations Research
On minimax-regret Huff location models
Computers and Operations Research
Journal of Global Optimization
The theoretical and empirical rate of convergence for geometric branch-and-bound methods
Journal of Global Optimization
Theoretical rate of convergence for interval inclusion functions
Journal of Global Optimization
Minimizing ordered weighted averaging of rational functions with applications to continuous location
Computers and Operations Research
A cross-monotonic cost-sharing scheme for the concave facility location game
Journal of Global Optimization
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The Big Triangle Small Triangle method has shown to be a powerful global optimization procedure to address continuous location problems. In the paper published in J. Global Optim. (37:305---319, 2007), Drezner proposes a rather general and effective approach for constructing the bounds needed. Such bounds are obtained by using the fact that the objective functions in continuous location models can usually be expressed as a difference of convex functions. In this note we show that, exploiting further the rich structure of such objective functions, alternative bounds can be derived, yielding a significant improvement in computing times, as reported in our numerical experience.