@Article{JCM-24-527,
author = {Jian-lin Jiang and Bo Chen},
title = {A Projection-Type Method for Solving Various Weber Problems},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {4},
pages = {527--538},
abstract = {<p style="text-align: justify;">This paper investigates various Weber problems including unconstrained Weber problems and constrained Weber problems under $l_1,l_2$ and $l_\infty$-norms. First with a transformation technique various Weber problems are turned into a class of monotone linear variational inequalities. By exploiting the favorable structure of these variational inequalities, we present a new projection-type method for them. Compared with some other projection-type methods which can solve monotone linear variational inequality, this new projection-type method is simple in numerical implementations and more efficient for solving this class of problems; Compared with some popular methods for solving unconstrained Weber problem and constrained Weber problem, a singularity would not happen in this new method and it is more reliable by using this new method to solve various Weber problems.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8772.html}
}