Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1402
1
1
gregorian
2023
4
1
18
1
online
1
fulltext
en
Inverse and Reverse 2-facility Location Problems with Equality Measures on a Network
عمومى
General
پژوهشي
Research paper
<div style="text-align: justify;"><span class="fontstyle0">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 </span><span class="fontstyle2">O</span><span class="fontstyle0">(</span><span class="fontstyle2">nlogn</span><span class="fontstyle0">) 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.</span></div>
Inverse facility location, Reverse facility location, Balanced allocation, Equality measure.
211
225
http://ijmsi.ir/browse.php?a_code=A-10-312-2&slc_lang=en&sid=1
Morteza
Nazari
mnazari_ms65@yahoo.com
`100319475328460010036`

100319475328460010036
No
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
Jafar
Fathali
fathali@shahroodut.ac.ir
`100319475328460010037`

100319475328460010037
Yes
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran