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Improved genetic algorithm incorporating profit-loss picking strategy for solving TTP

Jiang Xiaojua,b,c
Tan Dailuna,b,c
Feng Shiqianga,b,c
a. School of Mathematics & Information, China West Normal University, b. Sichuan Colleges & Universities Key Laboratory of Optimization Theory & Applications, China West Normal University, c. Institute of Nonlinear Analysis & Applications, China West Normal University, Nanchong Sichuan 637009, China

Abstract

The travel thief problem (TTP) is a new type of combinatorial optimization problem, which is composed of the traveling salesman problem (TSP) and the knapsack problem (KP) . Its optimization model covers the constraints of the two kinds of problems and also inherits the computational difficulty of the two kinds of problems. To solve the TTP problem, an improved genetic algorithm incorporating profit-loss picking strategy is proposed. For the list of items on the road of any traveler, we define the value items and adopt the must-take strategy, define the loss items for the remaining items and eliminate them, introduce the double score calculation formula for the eliminated remaining items, and conduct comprehensive sorting according to the mixed sorting strategy, and then select them into the backpack in order, and the whole processing process constitutes the profit-loss taking strategy. For the genetic algorithm, the strategy of population initialization based on nearest neighbor search and truncation exchange is designed to improve the quality of the initial population. The stochastic universal sampling selection operator, the partial matching crossover operator and the secondary mutation operator are used to strengthen survival of the fittest and maintain the diversity of the population. Add reinsertion operators to keep the population stable. The simulation results show that the improved strategy can obviously improve the performance of the algorithm, and the result of the example reaches the expectation. The improved algorithm has good optimization ability and stability.

Foundation Support

国家自然科学基金资助项目(42204123)
四川省自然科学基金资助项目(2022NSFSC0558)
教育部产学合作协同育人项目(202102454008)
四川省教育厅重点教改项目(JG2021-959)
西华师大研究生教育改革研究项目(2022XM24)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2024.12.0489
Publish at: Application Research of Computers Accepted Paper, Vol. 42, 2025 No. 7

Publish History

[2025-03-13] Accepted Paper

Cite This Article

江晓菊, 谭代伦, 冯世强. 融合盈亏拿取策略的改进遗传算法求解TTP问题 [J]. 计算机应用研究, 2025, 42 (7). (2025-03-14). https://doi.org/10.19734/j.issn.1001-3695.2024.12.0489. (Jiang Xiaoju, Tan Dailun, Feng Shiqiang. Improved genetic algorithm incorporating profit-loss picking strategy for solving TTP [J]. Application Research of Computers, 2025, 42 (7). (2025-03-14). https://doi.org/10.19734/j.issn.1001-3695.2024.12.0489. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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