TY - JOUR
ID - 4664
TI - Inverse minimax circle location problem with variable coordinates
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Gholami, Mehraneh
AU - Fathali, Jafar
AD - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 2
SP - 137
EP - 146
KW - Minimax circle location
KW - inverse facility location
KW - variable coordinates
DO - 10.22060/ajmc.2022.20756.1075
N2 - Traditionally, the minimax circle location problems concern finding a circle $C$ in the plane such that the maximum distance from the given points to the circumference of the circle is minimized. The radius of the circle can be fixed or variable. In this paper we consider the inverse case, that is: a circle $C$ with radius $r_0$ is given and we want to modify the coordinate of existing points with the minimum cost such that the given circle becomes optimal. Mathematical models and some properties of the cases that circle $C$ becomes optimal with comparing to all other circles, and circle $C$ becomes the best circle with comparing to the circles with radius $r_0$ are presented.
UR - https://ajmc.aut.ac.ir/article_4664.html
L1 - https://ajmc.aut.ac.ir/article_4664_d1b62b1caf6ebd9b62a262bad391967b.pdf
ER -