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arXiv · 1702.06662

An Integer Programming Model for Binary Knapsack Problem with Value-Related Dependencies among Elements

Davoud Mougouei·David M. W. Powers·Asghar Moeini
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Abstract

Binary Knapsack Problem (BKP) is to select a subset of an element (item) set with the highest value while keeping the total weight within the capacity of the knapsack. This paper presents an integer programming model for a variation of BKP where the value of each element may depend on selecting or ignoring other elements. Strengths of such Value-Related Dependencies are assumed to be imprecise and hard to specify. To capture this imprecision, we have proposed modeling value-related dependencies using fuzzy graphs and their algebraic structure.

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Davoud Mougouei, David M. W. Powers, Asghar Moeini. 2017-02-22. An Integer Programming Model for Binary Knapsack Problem with Value-Related Dependencies among Elements. https://arxiv.org/abs/1702.06662

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