cs.AI updates on arXiv.org 08月13日
An Efficient Application of Goal Programming to Tackle Multiobjective Problems with Recurring Fitness Landscapes
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本文提出一种基于相似性特征的多目标问题优化方法,利用计算代价高的多目标算法解决一个问题实例,然后应用目标规划与单目标算法解决相似问题实例,实现高效优化。

arXiv:2508.08297v1 Announce Type: new Abstract: Many real-world applications require decision-makers to assess the quality of solutions while considering multiple conflicting objectives. Obtaining good approximation sets for highly constrained many-objective problems is often a difficult task even for modern multiobjective algorithms. In some cases, multiple instances of the problem scenario present similarities in their fitness landscapes. That is, there are recurring features in the fitness landscapes when searching for solutions to different problem instances. We propose a methodology to exploit this characteristic by solving one instance of a given problem scenario using computationally expensive multiobjective algorithms to obtain a good approximation set and then using Goal Programming with efficient single-objective algorithms to solve other instances of the same problem scenario. We use three goal-based objective functions and show that on benchmark instances of the multiobjective vehicle routing problem with time windows, the methodology is able to produce good results in short computation time. The methodology allows to combine the effectiveness of state-of-the-art multiobjective algorithms with the efficiency of goal programming to find good compromise solutions in problem scenarios where instances have similar fitness landscapes.

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多目标优化 目标规划 单目标算法
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