TITLE

Row-Column Aggregation for Rectilinear Distance p-Median Problems

AUTHOR(S)
Francis, R. L.; Lowe, T. J.; Rayco, M. B.
PUB. DATE
May 1996
SOURCE
Transportation Science;May96, Vol. 30 Issue 2, p160
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
For large-scale p-median problems, it is common to aggregate the demand points. This size reduction via aggregation makes the problem easier to solve, but introduces error. Doing this aggregation well is provably difficult. We present a median-row-column aggregation algorithm, MRC, with provable properties including an error bound, an (attainable) upper bound on the maximum objective function error. MRC adjusts spacing of individual rows and columns to exploit problem structure. For e demand points, r rows, and c columns, the algorithm has computational order e(c + r + log e), and order e storage requirements. We report encouraging computational experience.
ACCESSION #
5711013

 

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