@inproceedings{67fd7c6463ad4b03bbed6b318dc2364c,

title = "Analytics of the multifacility Weber problem",

abstract = "For the Weber problem of construction of the minimal cost planar weighted network connecting four terminals with two extra facilities, the solution by radicals is proposed. The conditions for existence of the network in the assumed topology and the explicit formulae for coordinates of the facilities are presented. It is shown that the bifacility network is less costly than the unifacility one. Extension of the results to the general Weber problem is also discussed.",

keywords = "Multifacility location problem, Nonlinear optimization, Weber problem",

author = "Uteshev, {Alexei Yu.} and Semenova, {Elizaveta A.}",

note = "Uteshev A.Y., Semenova E.A. (2020) Analytics of the Multifacility Weber Problem. In: Gervasi O. et al. (eds) Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science, vol 12251. Springer, Cham. https://doi.org/10.1007/978-3-030-58808-3_29; 20th International Conference on Computational Science and Its Applications, ICCSA 2020 ; Conference date: 01-07-2020 Through 04-07-2020",

year = "2020",

month = sep,

doi = "10.1007/978-3-030-58808-3_29",

language = "English",

isbn = "9783030588076",

series = "LNCS",

publisher = "Springer Nature",

pages = "395--411",

editor = "Osvaldo Gervasi and {et al.}",

booktitle = "Computational Science and Its Applications – ICCSA 2020",

address = "Germany",

}