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A set of shards (i,j) is given, with a reward function r(i,j), an ascending memory consumption, a descending memory consumption and a capacity function.
Find a subset of shards S of maximum reward such that
Test set employed in R. Cordone, F. Gandellini and G. Righini, Solving the swath segment selection problem through Lagrangean relaxation. Computers and Operations Research, 35:854-862, 2008.