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Description

We consider the single-facility location problem with mixed norms, i. We show how this problem can be expressed into a structured conic format by decomposing the nonlinear components of the objective into a series of constraints involving three-dimensional cones.


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Using the availability of a self-concordant barrier for these cones, we present a polynomial-time algorithm a long-step path-following interior-point scheme to solve the problem up to a given accuracy. Finally, we report computational results for this algorithm and compare with standard nonlinear optimization solvers applied to this problem.


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  • Ebook Single Facility Location Problems With Barriers 2002.
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  • Handle: RePEc:cor:louvco as. More about this item Keywords nonsymmetric conic optimization ; conic reformulation ; convex optimization ; sum of norm minimization ; single-facility location problems ; interior-point methods ; Statistics Access and download statistics.

    Corrections All material on this site has been provided by the respective publishers and authors. Louis Fed.

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    Clustering and Facility Location Problems

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