Weight balance problem modeling and benders decomposition algorithm design of preighter

ZHAO Xiang-ling; LI Yun-fei

doi:10.19818/j.cnki.1671-1637.2023.02.014

Volume 23 Issue 2

Apr. 2023

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Article Navigation > Journal of Traffic and Transportation Engineering > 2023 > 23(2): 199-211

ZHAO Xiang-ling, LI Yun-fei. Weight balance problem modeling and benders decomposition algorithm design of preighter[J]. Journal of Traffic and Transportation Engineering, 2023, 23(2): 199-211. doi: 10.19818/j.cnki.1671-1637.2023.02.014

Citation:

ZHAO Xiang-ling, LI Yun-fei. Weight balance problem modeling and benders decomposition algorithm design of preighter[J]. Journal of Traffic and Transportation Engineering, 2023, 23(2): 199-211. doi: 10.19818/j.cnki.1671-1637.2023.02.014

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Weight balance problem modeling and benders decomposition algorithm design of preighter

doi: 10.19818/j.cnki.1671-1637.2023.02.014

ZHAO Xiang-ling^{1, 2
,},
LI Yun-fei¹

1.
College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China
2.
Key Laboratory of Data Analytics and Optimization for Smart Industry, Ministry of Education, Northeastern University, Shenyang 110819, Liaoning, China

Funds:

National Natural Science Foundation of China 52272356

Fundamental Research Funds for the Central Universities 3122018D025

Postgraduate Research and Innovation Project of Civil Aviation University of China 2021YJS060

More Information

Author Bio:
ZHAO Xiang-ling(1979-), male, associate professor, PhD, zxl-llx@163.com
Received Date: 2022-11-04
Available Online: 2023-05-09
Publish Date: 2023-04-25

Abstract

Abstract

The weight balance problem (WBP) of civil aviation preighter was studied. The WBP differences between preighter, passenger aircraft, and cargo aircraft were compared. A linear integer programming model of preighter WBP was built with the combined optimization characteristics of main cargo compartment assignment problem and lower cargo backpack problem. The multi-objective function of the maximum payload and the minimum deviation of the center of gravity (CG) from the specified target was realized, including the cargo holds and their position constraints, various mass constraints, joint constraints on upper and lower cabins, as well as the CG envelope constraints of the preighter in actual operation. The benders decomposition algorithm was designed to solve the model, dividing the original problem into two parts: the main problem and the subproblem. To solve the main problem, a modified simulated annealing algorithm was proposed, which improved the coding, variation, and individual modification strategies of discrete variables. The y-check algorithm based on logical check was designed to check the complex constraints such as joint weight limits of upper and lower cabins and the CG envelope of subproblems. The benders' cut constraint model was given. Twenty groups of examples with different scales were designed by taking a B757-200 preighter as an example. The Gurobi, Lingo, artificial stowing, and the proposed algorithm were tested to verify the model. Research results show that the Gurobi has the best resolution quality and speed, whose average payload, CG deviation and solution time are 29 517.3 kg, 0.02%, and 0.13 s, respectively. The artificial stowing method is the worst, and its average payload, CG deviation, and solution time reach 27 131.9 kg, 5.26%, and 581.75 s, respectively. As an intelligent heuristic algorithm, the proposed algorithm gets a payload of 28 379.1 kg, which is slightly worse than the optimized solutions of Gurobi and Lingo. Its CG deviation is only 0.05%, which can be ignored. The average solution speed is 20.33 s, much faster than the Lingo's 7 370.65 s.
- preighter,
- weight and balance,
- multi-objective optimization,
- benders decomposition,
- simulated annealing,
- Gurobi solver

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References(32)

References

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Weight balance problem modeling and benders decomposition algorithm design of preighter

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