@MISC{Pisinger95algorithmsfor, author = {David Pisinger}, title = {Algorithms for Knapsack Problems}, year = {1995} }

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Abstract

This thesis considers a family of combinatorial problems known under the name Knapsack Problems. As all the problems are A7)-hard we are searching for exact solution techniques having reasonable solution times for nearly all instances encountered in practice, despite having exponential time bounds for a number of highly contrived problem instances. A similar behavior is known from the Simplex algorithm, which despite its exponential worst-case behavior has reasonable solution times for all realistic problems.