CLC number: TP18
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2020-04-10
Cited: 0
Clicked: 5378
Citations: Bibtex RefMan EndNote GB/T7714
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"
}
%0 Journal Article
%T Uncertain bilevel knapsack problem based on an improved binary wolf pack algorithm
%A Hu-sheng Wu
%A Jun-jie Xue
%A Ren-bin Xiao
%A Jin-qiang Hu
%J Frontiers of Information Technology & Electronic Engineering
%V 21
%N 9
%P 1356-1368
%@ 2095-9184
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900437
TY - JOUR
T1 - Uncertain bilevel knapsack problem based on an improved binary wolf pack algorithm
A1 - Hu-sheng Wu
A1 - Jun-jie Xue
A1 - Ren-bin Xiao
A1 - Jin-qiang Hu
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 21
IS - 9
SP - 1356
EP - 1368
%@ 2095-9184
Y1 - 2020
PB - Zhejiang University Press & Springer
ER -
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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