# Multi-criteria TSP: Min and max combined

2 Citations (Scopus)

## Abstract

We present randomized approximation algorithms for multi-criteria traveling salesman problems (TSP), where some objective functions should be minimized while others should be maximized. For the symmetric multi-criteria TSP (STSP), we present an algorithm that computes (2/3,$3+\varepsilon$)-approximate Pareto curves. Here, the first parameter is the approximation ratio for the objectives that should be maximized, and the second parameter is the ratio for the objectives that should be minimized. For the asymmetric multi-criteria TSP (ATSP), we obtain an approximation performance of (1/2, $\log_2 n + \varepsilon$).
Original language English 36-38 3 Operations research letters 40 1 https://doi.org/10.1016/j.orl.2011.10.012 Published - 2012

## Keywords

• EWI-20664
• Combinatorial optimization
• Approximate Pareto curves
• Approximation algorithms
• IR-79358
• Multi-criteria optimization
• Traveling Salesman Problem
• Pareto optimization
• METIS-285205
• Multi-criteria TSP

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