A Projection-Type Method for Solving Various Weber Problems

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Volume 24, Issue 4

Jian-lin Jiang & Bo Chen

J. Comp. Math., 24 (2006), pp. 527-538.

Published online: 2006-08

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Abstract

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.

Keywords

Linear variational inequality, Various Weber problems, Projection-type method, Slack technique.

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@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 = {

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8772.html} }

TY - JOUR T1 - A Projection-Type Method for Solving Various Weber Problems AU - Jian-lin Jiang & Bo Chen JO - Journal of Computational Mathematics VL - 4 SP - 527 EP - 538 PY - 2006 DA - 2006/08 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8772.html KW - Linear variational inequality, Various Weber problems, Projection-type method, Slack technique. AB -

Jian-lin Jiang and Bo Chen. (2006). A Projection-Type Method for Solving Various Weber Problems. Journal of Computational Mathematics. 24 (4). 527-538. doi:

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