Geodesic
A Descent-Ascent Technique for Solving the Multi-Source Weber Problem
Yugoslav journal of operations research, Tome 5 (1995) no. 2, p. 211 .

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The multi-source Weber problem requires locating m new facilities in continuous space in order to minimize a sum of transportation costs to n fixed points or customers with known demands. Several heuristic methods have been developed to solve this problem. Typically, these algorithms move in descent directions from a specified starting solution until local minimum is reached. In this paper . we consider the original heuristic proposed by Cooper (1963, 1964 , 1972), witch has no inherent neighborhood structure. We show how a neighborhood structure can be defined and a descent-ascent procedure employed to enhance the Cooper algorithm. Computational results are reported.
Keywords: 
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     author = {Nenad Mladenovi\'c and Jack Brimberg},
     title = {A {Descent-Ascent} {Technique} for {Solving} the {Multi-Source} {Weber} {Problem}},
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Nenad Mladenović; Jack Brimberg. A Descent-Ascent Technique for Solving the Multi-Source Weber Problem. Yugoslav journal of operations research, Tome 5 (1995) no. 2, p. 211 . http://geodesic.mathdoc.fr/item/YJOR_1995_5_2_a3/