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On scenario aggregation to approximate robust combinatorial optimization problems

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Table 1: Current best known approximation guarantees (UB) for unbounded number ofscenarios K, and best known inapproximability results (LB) (see [KZ16]).
Figure 1: Basic aggregation scheme.
Figure 2: An instance of the min-max shortest path problem with 8 scenarios. An edgewith vector ei has cost 1 in the ith scenario and 0 in all other scenarios
Figure 3: An example instance where aggregating from four to two scenarios leads to a4-approximation for min-max regret.
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