An integer linear programming model for binary knapsack problem with dependent item values

Paper


Mougouei, Davoud, Powers, David M.W. and Moeini, Ashgar. 2017. "An integer linear programming model for binary knapsack problem with dependent item values." Peng, Wei, Alahakoon, Damminda and Li, Xiaodong (ed.) 30th Australasian Joint Conference on Artificial Intelligence (AI 2017). Melbourne, Australia 19 - 20 Aug 2017 Switzerland. https://doi.org/10.1007/978-3-319-63004-5_12
Paper/Presentation Title

An integer linear programming model for binary knapsack problem with dependent item values

Presentation TypePaper
AuthorsMougouei, Davoud (Author), Powers, David M.W. (Author) and Moeini, Ashgar (Author)
EditorsPeng, Wei, Alahakoon, Damminda and Li, Xiaodong
Journal or Proceedings TitleAI 2017: Advances in Artificial Intelligence
Number of Pages11
Year2017
Place of PublicationSwitzerland
ISBN9783319630038
9783319630045
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-319-63004-5_12
Web Address (URL) of Paperhttps://link.springer.com/chapter/10.1007/978-3-319-63004-5_12
Web Address (URL) of Conference Proceedingshttps://link.springer.com/book/10.1007/978-3-319-63004-5
Conference/Event30th Australasian Joint Conference on Artificial Intelligence (AI 2017)
Event Details
Rank
B
B
B
B
B
Event Details
30th Australasian Joint Conference on Artificial Intelligence (AI 2017)
Event Date
19 to end of 20 Aug 2017
Event Location
Melbourne, Australia
Abstract

Binary Knapsack Problem (BKP) is to select a subset of items with the highest value while keeping the size within the capacity of the knapsack. This paper presents an Integer Linear Programming (ILP) model for a variation of BKP where the value of an item may depend on presence or absence of other items in the knapsack. 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. We have demonstrated through simulations that our proposed ILP model is scalable to large number of items.

Keywordsbinary knapsack problem; integer linear programming; dependency; value; fuzzy graph
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020461299. Software engineering not elsewhere classified
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Byline AffiliationsFlinders University
Institution of OriginUniversity of Southern Queensland
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