Technical Note—A New Norm for Measuring Distance Which Yields Linear Location Problems | Zendy

James E. Ward | Zendy; Richard E. Wendell | Zendy

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Technical Note—A New Norm for Measuring Distance Which Yields Linear Location Problems

Author(s) -

James E. Ward,

Richard E. Wendell

Publication year - 1980

Publication title -

operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.797

H-Index - 140

eISSN - 1526-5463

pISSN - 0030-364X

DOI - 10.1287/opre.28.3.836

Subject(s) - norm (philosophy) , uniform norm , linear programming , mathematics , mathematical optimization , facility location problem , computer science , discrete mathematics , epistemology , philosophy

We propose a new norm, called the one-infinity norm, for characterizing distance in facility location problems. This new norm, which is a hybrid version of the rectilinear and Tchebycheff norms, not only gives a good characterization of distance (as compared, for example, to results by Love and Morris) but also has two alternate interpretations of travel. Furthermore, it yields linear programming formulations of location problems.

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