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Long-term planning versus short-term planning in the asymptotical location problem

Alessio Brancolini, Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov (2009)

ESAIM: Control, Optimisation and Calculus of Variations

Given the probability measure ν over the given region Ω n , we consider the optimal location of a set Σ composed by n points in Ω in order to minimize the average distance Σ Ω dist ( x , Σ ) d ν (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all n points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and preserving...

Long-term planning versus short-term planning in the asymptotical location problem

Alessio Brancolini, Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov (2008)

ESAIM: Control, Optimisation and Calculus of Variations

Given the probability measure ν over the given region Ω n , we consider the optimal location of a set Σ composed by n points in Ω in order to minimize the average distance Σ Ω dist ( x , Σ ) d ν (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all n points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and preserving...

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