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Multi-objective competitive location problem with distance-based attractiveness and its best non-dominated solution

机译:具有距离吸引力的多目标竞争性位置问题及其最佳非支配解

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摘要

The multi-objective competitive location problem (MOCLP) with distance-based attractiveness is introduced. There are m potential competitive facilities and n demand points on the same plane. All potential facilities can provide attractiveness to the demand point which the facility attractiveness is represented as distance-based coverage of a facility, which is “full coverage” within the maximum full coverage radius, “no coverage” outside the maximum partial coverage radius, and “partial coverage” between those two radii. Each demand point covered by one of m potential facilities is determined by the greatest accumulated attractiveness provided the selected facilities and least accumulated distances between each demand point and selected facility, simultaneously. The tradeoff of maximum accumulated attractiveness and minimum accumulated distances is represented as a multi-objective optimization model. A proposed solution procedure to find the best non-dominated solution set for MOCLP is introduced. Several numerical examples and instances comparing with introduced and exhaustive method demonstrates the good performance and efficiency for the proposed solution procedure.
机译:介绍了具有基于距离的吸引力的多目标竞争位置问题(MOCLP)。同一平面上有m个潜在的竞争设施和n个需求点。所有可能的设施都可以满足需求点的吸引力,设施吸引力表示为设施的基于距离的覆盖范围,即最大最大覆盖范围内的“完全覆盖”,最大部分覆盖范围外的“无覆盖”,以及这两个半径之间的“部分覆盖”。由m个潜在设施之一覆盖的每个需求点,取决于同时提供所选设施的最大累积吸引力和每个需求点与所选设施之间的最小累积距离。最大累积吸引力和最小累积距离之间的折衷表示为多目标优化模型。介绍了为MOCLP找到最佳非支配解集的建议解决方案过程。数值算例和实例与介绍和详尽的方法比较表明,该方法具有良好的性能和效率。

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