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- W2949328666 abstract "We present approximation algorithms for the directed Rural Postman problem (DRPP), the mixed, windy Rural Postman problem (MWRPP), and the mixed, windy Capacitated Arc Routing problem (MWCARP). We show that $alpha(n)$-approximations for $n$-vertex metric asymmetric TSP ($triangle$-ATSP) yield $(alpha(C) + 1)$-approximations for DRPP, $(alpha(C)+3)$-approximations for MWRPP, and $O(alpha(C+1))$-approximations for MWCARP, where $C$ is the number of weakly connected components induced by positive-demand edges and arcs. Combining this with a result from the literature, we obtain $O(log C/log log C)$-approximations for each of the considered problems, which improves to polynomial-time constant-factor approximations if $C in O(log n)$. Moreover, since $alpha$-approximations for DRPP yield $alpha$-approximations for $triangle$-ATSP, our result shows that $triangle$-ATSP and MWCARP are approximation-equivalent up to small factors." @default.
- W2949328666 created "2019-06-27" @default.
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- W2949328666 date "2015-06-18" @default.
- W2949328666 modified "2023-10-01" @default.
- W2949328666 title "Approximation algorithms for mixed, windy, and capacitated arc routing problems" @default.
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