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Title: Robust Algorithms for TSP and Steiner Tree
Robust optimization is a widely studied area in operations research, where the algorithm takes as input a range of values and outputs a single solution that performs well for the entire range. Specifically, a robust algorithm aims to minimize regret, defined as the maximum difference between the solution’s cost and that of an optimal solution in hindsight once the input has been realized. For graph problems in P, such as shortest path and minimum spanning tree, robust polynomial-time algorithms that obtain a constant approximation on regret are known. In this paper, we study robust algorithms for minimizing regret in NP-hard graph optimization problems, and give constant approximations on regret for the classical traveling salesman and Steiner tree problems.  more » « less
Award ID(s):
1816861
PAR ID:
10253503
Author(s) / Creator(s):
; ;
Editor(s):
Czumaj, Arturr; Dawar, Anuj; Merelli, Emanuela
Date Published:
Journal Name:
Leibniz international proceedings in informatics
Volume:
168
ISSN:
1868-8969
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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