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STSP seeks a pair of pickup and delivery tours in two distinct networks,where the two tours are related by LIFO contraints. We address here the problemapproximability. We notably establish that asymmetric MaxSTSP and MinSTSP12 areAPX, and propose a heuristic that yields to a 1/2, 3/4 and 3/2 standardapproximation for respectively Max2STSP, Max2STSP12 and Min2STSP12.

Approximability of the Multiple Stack TSP