The field of a priori optimization is an interesting subfield of stochastic combinatorial optimization that is well suited for routing problems. In this setting, there is a probability distribution over active sets, vertices that have to be visited. For a fixed tour, the solution on an active set is obtained by restricting the solution on the active set. In the well-studied a priori traveling salesman problem (TSP), the goal is to find a tour that minimizes the expected length. In the a priori traveling repairman problem (TRP), the goal is to find a tour that minimizes the expected sum of latencies. In this paper, we give the first constant-factor approximation for a priori TRP.
|Journal||Lecture Notes in Computer Science|
|Publication status||Published - 2015|
|Event||12th Workshop on Approximation and Online Algorithms - Berlin|
Duration: 11 Sep 2014 → 12 Sep 2014
Bibliographical noteProceedings title: Approximation and Online Algorithms: 12th International Workshop, WAOA 2014, Wroclaw, Poland, September 11-12, 2014, Revised Selected Papers
Place of publication: Berlin
Editors: E. Bampis, O. Svensson