Neural Multi-Objective Combinatorial Optimization with Diversity Enhancement

• URL: http://arxiv.org/abs/2310.15195v1
• Date: Sun, 22 Oct 2023 08:50:57 GMT
• Title: Neural Multi-Objective Combinatorial Optimization with Diversity Enhancement
• Authors: Jinbiao Chen, Zizhen Zhang, Zhiguang Cao, Yaoxin Wu, Yining Ma, Te Ye, Jiahai Wang
• Abstract summary: We propose a novel neural with diversity enhancement (NHDE) for multi-objective optimization (MOCO) problems. We show that our NHDE is able to generate a Pareto front with higher diversity, thereby achieving superior overall performance. Our NHDE is generic and can be applied to different neural methods for MOCO.
• Score: 33.28756549307025
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Most of existing neural methods for multi-objective combinatorial optimization (MOCO) problems solely rely on decomposition, which often leads to repetitive solutions for the respective subproblems, thus a limited Pareto set. Beyond decomposition, we propose a novel neural heuristic with diversity enhancement (NHDE) to produce more Pareto solutions from two perspectives. On the one hand, to hinder duplicated solutions for different subproblems, we propose an indicator-enhanced deep reinforcement learning method to guide the model, and design a heterogeneous graph attention mechanism to capture the relations between the instance graph and the Pareto front graph. On the other hand, to excavate more solutions in the neighborhood of each subproblem, we present a multiple Pareto optima strategy to sample and preserve desirable solutions. Experimental results on classic MOCO problems show that our NHDE is able to generate a Pareto front with higher diversity, thereby achieving superior overall performance. Moreover, our NHDE is generic and can be applied to different neural methods for MOCO.

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