Multiobjective traveling salesperson problem on Halin graphs

Ozgur Ozpeynirci and Murat Köksalan

European Journal of Operational Research, 2009, vol. 196, issue 1, 155-161

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.

Keywords: Traveling; salesperson; problem; Bottleneck; traveling; salesperson; problem; Multiple; objectives; Solvable; cases; Halin; graphs; Computational; complexity (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:196:y:2009:i:1:p:155-161

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