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Multiobjective traveling salesperson problem on Halin graphs
Date
2009-07-01
Author
Ozpeynirci, Ozgur
Köksalan, Mustafa Murat
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Management Science and Operations Research
,
Modelling and Simulation
,
Information Systems and Management
URI
https://hdl.handle.net/11511/57206
Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
DOI
https://doi.org/10.1016/j.ejor.2008.04.011
Collections
Department of Industrial Engineering, Article