Tight bounds for periodicity theorems on the unbounded Knapsack problem

Ping H. Huang, Mark Lawley and Thomas Morin

European Journal of Operational Research, 2011, vol. 215, issue 2, 319-324

Abstract: Three new bounds for periodicity theorems on the unbounded Knapsack problem are developed. Periodicity theorems specify when it is optimal to pack one unit of the best item (the one with the highest profit-to-weight ratio). The successive applications of periodicity theorems can drastically reduce the size of the Knapsack problem under analysis, theoretical or empirical. We prove that each new bound is tight in the sense that no smaller bound exists under the given condition.

Keywords: Combinatorial; optimization; Integer; programming; Knapsack; problem; Number; theory; Periodicity (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:215:y:2011:i:2:p:319-324

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