Single facility location problem with region-dependent distance metrics

DOI10.1080/00207729408928976zbMath0801.90071OpenAlexW2162341731MaRDI QIDQ4294384

Mahmut Parlar

Publication date: 24 May 1994

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729408928976

zbMATH Keywords

global optimizationheuristicmixed integer nonlinear programmingWeiszfeld algorithmsingle facility location

Mathematics Subject Classification ID

Mixed integer programming (90C11) Continuous location (90B85) Nonlinear programming (90C30)

Related Items (11)

A generalized Weber problem with different gauges for different regions ⋮ Solving a minisum single facility location problem in three regions with different norms ⋮ Support vector machines for classification of input vectors with different metrics ⋮ Gate points in continuous location between regions with different \(\ell _{p}\) norms ⋮ Pasting gauges. I: Shortest paths across a hyperplane ⋮ Pasting gauges. II: Balls in pasted halfplanes ⋮ Fixed gate point location problems ⋮ Continuous location under the effect of `refraction' ⋮ Single-facility location problems in two regions with \(\ell_{1}\)- and \(\ell_q\)-norms separated by a straight line ⋮ A BSSS algorithm for the single facility location problem in two regions with different norms ⋮ Location problems with different norms for different points

Cites Work

• Mixed planar/network facility location problems
• Locational analysis
• A primal-dual algorithm for the fermat-weber problem involving mixed gauges
• An Efficient Algorithm for the Solution of the Weber Problem with Mixed Norms

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