Combinatorial Algorithms for Some Variants of Inverse Obnoxious Median Location Problem on Tree Networks

2018 ◽  
Vol 178 (3) ◽  
pp. 914-934 ◽  
Author(s):  
Behrooz Alizadeh ◽  
Esmaeil Afrashteh ◽  
Fahimeh Baroughi
Keyword(s):  
Location Problem ◽  
Combinatorial Algorithms ◽  
Tree Networks

scholarly journals An O(nlog2n) algorithm for the optimal sink location problem in dynamic tree networks

2006 ◽  
Vol 154 (16) ◽  
pp. 2387-2401 ◽  
Author(s):  
Satoko Mamada ◽  
Takeaki Uno ◽  
Kazuhisa Makino ◽  
Satoru Fujishige
Keyword(s):  
Location Problem ◽  
Tree Networks ◽  
Dynamic Tree ◽  
Sink Location

scholarly journals A maximum trip covering location problem with an alternative mode of transportation on tree networks and segments

Top ◽  
2012 ◽  
Vol 22 (1) ◽  
pp. 227-253 ◽  
Author(s):  
Mark-Christoph Körner ◽  
Juan A. Mesa ◽  
Federico Perea ◽  
Anita Schöbel ◽  
Daniel Scholz
Keyword(s):  
Location Problem ◽  
Alternative Mode ◽  
Tree Networks ◽  
Mode Of Transportation

scholarly journals The Inverse 1-Median Problem on Tree Networks with Variable Real Edge Lengths

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Longshu Wu ◽  
Joonwhoan Lee ◽  
Jianhua Zhang ◽  
Qin Wang
Keyword(s):  
Location Problem ◽  
Hamming Distance ◽  
Linear Time ◽  
Shopping Centers ◽  
Median Problem ◽  
Tree Networks ◽  
Total Cost ◽  
Negative Edge ◽  
Polynomial Time Algorithms ◽  
Np Hardness

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.

scholarly journals Some variants of reverse selective center location problem on trees under the Chebyshev and Hamming norms

2017 ◽  
Vol 27 (3) ◽  
pp. 367-384 ◽  
Author(s):  
Roghayeh Etemad ◽  
Behrooz Alizadeh
Keyword(s):  
Facility Location ◽  
Upper Bound ◽  
Location Problem ◽  
The Other ◽  
Location Problems ◽  
Combinatorial Algorithms ◽  
Optimal Solutions ◽  
Total Cost ◽  
Tree Graphs ◽  
Center Location

This paper is concerned with two variants of the reverse selective center location problems on tree graphs under the Hamming and Chebyshev cost norms in which the customers are existing on a selective subset of the vertices of the underlying tree. The first model aims to modify the edge lengths within a given modification budget until a prespecified facility location becomes as close as possible to the customer points. However, the other model wishes to change the edge lengths at the minimum total cost so that the distances between the prespecified facility and the customers satisfy a given upper bound. We develop novel combinatorial algorithms with polynomial time complexities for deriving the optimal solutions of the problems under investigation.

The inverse 1-median location problem on uncertain tree networks with tail value at risk criterion

2020 ◽  
Vol 506 ◽  
pp. 383-394 ◽  
Author(s):  
Akram Soltanpour ◽  
Fahimeh Baroughi ◽  
Behrooz Alizadeh
Keyword(s):  
At Risk ◽  
Value At Risk ◽  
Location Problem ◽  
Tree Networks ◽  
Risk Criterion

Intuitionistic fuzzy inverse 1-median location problem on tree networks with value at risk objective

2018 ◽  
Vol 23 (17) ◽  
pp. 7843-7852 ◽  
Author(s):  
Akram Soltanpour ◽  
Fahimeh Baroughi ◽  
Behrooz Alizadeh
Keyword(s):  
At Risk ◽  
Value At Risk ◽  
Location Problem ◽  
Tree Networks ◽  
Intuitionistic Fuzzy
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