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....shrinking of any of the k 1 edges with larger weights (ties are broken arbitrarily) in the subtree rooted at descendant node k. We also perform induced shrinking of any newly formed edges with weights of one or more. For each partition we solve the corresponding BPP using the procedures in [31] and check the FCI. Backtracking is performed if the FCI is violated, or has slack at least 2, or if a prohibited shrinking is induced. We place a limit on the number of nodes that we consider in the search tree (see Section 3) The separation heuristics for FCIs in [7, 33] can be viewed as ....
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Silvano Martello and Paolo Toth. Knapsack Problems: Algorithms and Computer Implementation. John Wiley & Sons Ltd., 1990. ISBN 0-471-92420-2. Unfortunately this classic is out of print. See [26] for an updated and very comprehensive treatment of the subject.
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