AU - Nazari, Morteza
AU - Fathali, Jafar
TI - Inverse and Reverse 2-facility Location Problems with Equality Measures on a Network
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 18
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-1543-en.html
4100 - http://ijmsi.ir/article-1-1543-en.pdf
SO - IJMSI 1
ABĀ - In this paper we consider the inverse and reverse network facility location problems with considering the equity on servers. The inverse facility location with equality measure deals with modifying the weights of vertices with minimum cost, such that the difference between the maximum and minimum weights of clients allocated to the given facilities is minimized. On the other hand, the reverse case of facility location problem with equality measure considers modifying the weights of vertices with a given budget constraint, such that the difference between the maximum and minimum weights of vertices allocated to the given facilities is reduced as much as possible. Two algorithms with time complexity O(nlogn) are presented for the inverse and reverse 2-facility location problems with equality measures. Computational results show their superiority with respect to the linear programming models.
CP - IRAN
IN - Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
LG - eng
PB - IJMSI
PG - 211
PT - Research paper
YR - 2023