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装载与运输路径的联合最优规划

The Combined Optimal Programming of Loading and Path planning

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【作者】 舒毅潇李睿超陈超吕全义

【Author】 SHU Yi-xiao;LI Rui-chao;CHEN Chao;LU Quan-yi;School of Mechanical Engineering,Northwestern Polytechnical University;School of Power and Energy,Northwestern Polytechnical University;School of Aeronautics,Northwestern Polytechnical University;School of Natural and Applied Sciences,Northwestern Polytechnical University;

【机构】 西北工业大学机电学院西北工业大学动力与能源学院西北工业大学航空学院西北工业大学理学院

【摘要】 运输问题中可以分为两个过程:分配装载和规划路径运输,后者是图论问题,前者因为涉及到分配不同的货物装载到不同的运输工具上,是非线性整数规划问题,所以整个问题也是NP复杂问题,随着问题复杂度的增加,变量增多,求解将会非常耗时和困难.提出了基于多旅行商的M-TSP图论装载运输优化模型,和对此模型进行简化后的基于确定路线的整数线性规划装载模型,从而极大的方便此类问题的快速求解,为实际生产运输商业行为提供了一种方便、科学、可靠的决策模型和方案.

【Abstract】 Two parts axe involved in transportation problem:loading and path planning,the latter is a graph theory problem,and the former is a nonlinear integer programming problem relating to different goods on different transport vehicles,hence,the whole problem is summed up as a NP complicated problem,whose unknown parameters increases along with increasing complexity,which results into large time-consuming.This paper proposes a transportation optimization model based on multiple traveling salesman problem(M-TSP),and then simplifies this model to construct a linear integer programming loading model based on the known paths,which provides a convenient,scientific,realizable solution for this kind of transportation problem.

  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2015年15期
  • 【分类号】O221;U492.3
  • 【下载频次】361
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