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On the Vector Assignment p -Median Problem

J. N. Hooker and R. S. Garfinkel
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J. N. Hooker: Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
R. S. Garfinkel: University of Connecticut, Storrs, Connecticut 06268

Transportation Science, 1989, vol. 23, issue 2, 139-140

Abstract: The vector assignment p -median problem allows nodes of a network to be served by a nonclosest facility. We present a counterexample to a proposition of J. R. Weaver and R. L. Church that an all-node solution always exists. We show that the proposition is true, however, if every node is served by closer facilities at least as often as by more distant facilities.

Date: 1989
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