Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Analytics of the multifacility Weber problem. / Uteshev, Alexei Yu.; Semenova, Elizaveta A.
Computational Science and Its Applications – ICCSA 2020 : 20th International Conference, Cagliari, Italy, July 1–4, 2020, Proceedings, Part III. ed. / Osvaldo Gervasi; et al. Cham : Springer Nature, 2020. p. 395-411 (LNCS; Vol. 12251).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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TY - GEN
T1 - Analytics of the multifacility Weber problem
AU - Uteshev, Alexei Yu.
AU - Semenova, Elizaveta A.
N1 - 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
PY - 2020/9
Y1 - 2020/9
N2 - 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.
AB - 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.
KW - Multifacility location problem
KW - Nonlinear optimization
KW - Weber problem
UR - http://www.scopus.com/inward/record.url?scp=85092316378&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-58808-3_29
DO - 10.1007/978-3-030-58808-3_29
M3 - Conference contribution
AN - SCOPUS:85092316378
SN - 9783030588076
T3 - LNCS
SP - 395
EP - 411
BT - Computational Science and Its Applications – ICCSA 2020
A2 - Gervasi, Osvaldo
A2 - , et al.
PB - Springer Nature
CY - Cham
T2 - 20th International Conference on Computational Science and Its Applications, ICCSA 2020
Y2 - 1 July 2020 through 4 July 2020
ER -
ID: 70135519