Title
Multiobjective traveling salesperson problem on Halin graphs
Abstract
In this paper, we study traveling salesperson (TSP) and bottleneck traveling salesperson (BTSP) problems on special graphs called Halin graphs. Although both problems are NP-Hard on general graphs, they are polynomially solvable on Halin graphs. We address the multiobjective versions of these problems. We show computational complexities of finding a single nondominated point as well as finding all nondominated points for different objective function combinations. We develop algorithms for the polynomially solvable combinations.
Year
DOI
Venue
2009
10.1016/j.ejor.2008.04.011
European Journal of Operational Research
Keywords
Field
DocType
Traveling salesperson problem,Bottleneck traveling salesperson problem,Multiple objectives,Solvable cases,Halin graphs,Computational complexity
Graph theory,Bottleneck,Graph,Mathematical optimization,Multiobjective programming,Travelling salesman problem,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
196
1
0377-2217
Citations 
PageRank 
References 
8
0.56
9
Authors
2
Name
Order
Citations
PageRank
Özgür Özpeynirci1557.00
Murat Köksalan253148.82