Minisum location problem with farthest Euclidean distances

@article{Jiang2006MinisumLP,
  title={Minisum location problem with farthest Euclidean distances},
  author={Jian-lin Jiang and Ya Xu},
  journal={Math. Meth. of OR},
  year={2006},
  volume={64},
  pages={285-308}
}
The paper formulates an extended model of Weber problem in which the customers are represented by convex demand regions. The objective is to generate a site in R2 that minimizes the sum of weighted Euclidean distances between the new facility and the farthest points of demand regions. This location problem is decomposed into a polynomial number of subproblems: constrained Weber problems (CWPs). A projection contraction method is suggested to solve these CWPs. An algorithm and the complexity… CONTINUE READING
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