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Abstract: A new branch-and-bound algorithm for the exact solution of the 0-1 Knapsack Problem is presented. The algorithm is based on solving an "expanding core", which initially only contains the break item, but which is expanded each time the branch-and-bound algorithm reaches the border of the core. Computational experiments show that most data instances are optimally solved without sorting or preprocessing a great majority of the items. Detailed program sketches are provided, and computational... (Update)
Context of citations to this paper: More
.... the art techniques to solve the KP would focus on a so called core problem, which may be extended during the optimization process (see [12, 17]) For these modern algorithms it is not straight forward to see how the reduction algorithm we present in the following could be...
...main computational e ort is to order the items according to nondecreasing weights. But if we perform the ordering by need as described in [7] then several large sized instances may be solved without ordering more than a couple of items, meaning that these instances are...
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BibTeX entry: (Update)
D. Pisinger. An expanding-core algorithm for the exact 0-1 knapsack problem. European Journal of Operational Research, 87:175-187, 1995. http://citeseer.ist.psu.edu/pisinger93expandingcore.html More
@misc{ pisinger95expandingcore,
author = "D. Pisinger",
title = "An expanding-core algorithm for the exact 0-1 knapsack problem",
text = "D. Pisinger. An expanding-core algorithm for the exact 0-1 knapsack problem.
European Journal of Operational Research, 87:175-187, 1995.",
year = "1995",
url = "citeseer.ist.psu.edu/pisinger93expandingcore.html" }
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