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<p>This article proposes a transportation model with uncertainty that involves multiple objectives and multiple items by considering cost, time and danger factors as objectives and pollution conditions as constraints. An improved genetic algorithm for obtaining the optimal solution and the global criterion method to handle multi-objective uncertain equations are introduced. In practical problems, it is difficult to ensure that a solution satisfying all the limitations. When the limitations are breached, the degree of violation may vary among different solutions. In consideration of this factor, the improved genetic algorithm is used. To show the feasibility of the model, the optimal results are solved and analyzed.</p>

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A programming framework for solving multi-objective multi-item solid transportation problem considering pollution and danger factors under uncertain environment

  • 期刊论文

  • 发表日期：

    2025年12月17日

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  • Jiaxuan Zhu,
  • Xiaoyue Qiu,
  • Yunpeng Zhao,
  • Xueling Liu,
  • Liying Liu

摘要

This article proposes a transportation model with uncertainty that involves multiple objectives and multiple items by considering cost, time and danger factors as objectives and pollution conditions as constraints. An improved genetic algorithm for obtaining the optimal solution and the global criterion method to handle multi-objective uncertain equations are introduced. In practical problems, it is difficult to ensure that a solution satisfying all the limitations. When the limitations are breached, the degree of violation may vary among different solutions. In consideration of this factor, the improved genetic algorithm is used. To show the feasibility of the model, the optimal results are solved and analyzed.