The Uniform Cost Reverse 1-Centdian Location Problem on Tree Networks with Edge Length Reduction

Author(s):  
Kien Trung Nguyen ◽  
Wen Chean Teh
2021 ◽  
Vol 865 ◽  
pp. 12-33
Author(s):  
Mehran Hasanzadeh ◽  
Behrooz Alizadeh ◽  
Fahimeh Baroughi

2006 ◽  
Vol 154 (16) ◽  
pp. 2387-2401 ◽  
Author(s):  
Satoko Mamada ◽  
Takeaki Uno ◽  
Kazuhisa Makino ◽  
Satoru Fujishige

Top ◽  
2012 ◽  
Vol 22 (1) ◽  
pp. 227-253 ◽  
Author(s):  
Mark-Christoph Körner ◽  
Juan A. Mesa ◽  
Federico Perea ◽  
Anita Schöbel ◽  
Daniel Scholz

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Longshu Wu ◽  
Joonwhoan Lee ◽  
Jianhua Zhang ◽  
Qin Wang

Location problems exist in the real world and they mainly deal with finding optimal locations for facilities in a network, such as net servers, hospitals, and shopping centers. The inverse location problem is also often met in practice and has been intensively investigated in the literature. As a typical inverse location problem, the inverse 1-median problem on tree networks with variable real edge lengths is discussed in this paper, which is to modify the edge lengths at minimum total cost such that a given vertex becomes a 1-median of the tree network with respect to the new edge lengths. First, this problem is shown to be solvable in linear time with variable nonnegative edge lengths. For the case when negative edge lengths are allowable, the NP-hardness is proved under Hamming distance, and strongly polynomial time algorithms are presented underl1andl∞norms, respectively.


2020 ◽  
Vol 506 ◽  
pp. 383-394 ◽  
Author(s):  
Akram Soltanpour ◽  
Fahimeh Baroughi ◽  
Behrooz Alizadeh

2018 ◽  
Vol 178 (3) ◽  
pp. 914-934 ◽  
Author(s):  
Behrooz Alizadeh ◽  
Esmaeil Afrashteh ◽  
Fahimeh Baroughi

2018 ◽  
Vol 23 (17) ◽  
pp. 7843-7852 ◽  
Author(s):  
Akram Soltanpour ◽  
Fahimeh Baroughi ◽  
Behrooz Alizadeh

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