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CLC number: TP18
On-line Access: 2020-09-09
Received: 2019-08-26
Revision Accepted: 2019-12-02
Crosschecked: 2020-04-10
Cited: 0
Clicked: 4661
Citations: Bibtex RefMan EndNote GB/T7714
Uncertain bilevel knapsack problem based on an improved binary wolf pack algorithm
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Hu-sheng Wu, Jun-jie Xue, Ren-bin Xiao, Jin-qiang Hu. Uncertain bilevel knapsack problem based on an improved binary wolf pack algorithm[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(9): 1356-1368.
@article{title="Uncertain bilevel knapsack problem based on an improved binary wolf pack algorithm",
author="Hu-sheng Wu, Jun-jie Xue, Ren-bin Xiao, Jin-qiang Hu",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="21",
number="9",
pages="1356-1368",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900437"
}
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%J Frontiers of Information Technology & Electronic Engineering
%V 21
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%@ 2095-9184
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900437
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T1 - Uncertain bilevel knapsack problem based on an improved binary wolf pack algorithm
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A1 - Jun-jie Xue
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A1 - Jin-qiang Hu
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 21
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1900437
Abstract: To address indeterminism in the bilevel knapsack problem, an uncertain bilevel knapsack problem (UBKP) model is proposed. Then, an uncertain solution for UBKP is proposed by defining the PE Nash equilibrium and PE Stackelberg–Nash equilibrium. To improve the computational efficiency of the uncertain solution, an evolutionary algorithm, the improved binary wolf pack algorithm, is constructed with one rule (wolf leader regulation), two operators (invert operator and move operator), and three intelligent behaviors (scouting behavior, intelligent hunting behavior, and upgrading). The UBKP model and the PE uncertain solution are applied to an armament transportation problem as a case study.
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