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Combining Reinforcement Learning with Lin-Kernighan-Helsgaun Algorithm for the Traveling Salesman Problem

AAAI 2021 · Reinforcement learning › Visual and representation RL · approach: RL for combinatorial routing · 66 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace LKH candidate ordering with VSR-LKH's variable-strategy reinforcement learningLKH · TSPLIB hard instancesaverage tour length: 26131.6 -> 26130.4 (kroB150); 57251.1 -> 57214.5 (u1817)Helped
Replace the α-value with the fixed initial Q-value combining distance and α-value (ablation)LKH (FixQ-LKH) · 27 hard TSPLIB instancescumulative solution gapHelped
Use Q-learning to adjust the initial Q-values during search (ablation)FixQ-LKH · 27 hard TSPLIB instancescumulative solution gapHelped
Use Q-learning, Sarsa, or Monte Carlo individually to reinforce LKH (ablation)LKH · 27 hard TSPLIB instancescumulative solution gapHelped
Switch among Q-learning, Sarsa, and Monte Carlo instead of using one strategy (ablation)LKH · 27 hard TSPLIB instancescumulative solution gapHelped
Remove Monte Carlo from the variable-strategy method (ablation)VSR-LKH · gr431, si535, and u1817solution qualityHurt
Use Monte Carlo alone rather than a variable strategy (ablation)LKH · large-scale TSPLIB instancessolution qualityHurt
Vary the reinforcement-learning parameters from their defaults (ablation)VSR-LKH · 27 hard TSPLIB instancescumulative solution gapNo clear effect
Use the reinforced search rather than LKH during the initial iterations (ablation)VSR-LKH variants · u574, u1060, u1817, fnl4461, rl5934, and rl11849gap to optimal solution over runtimeMixed
Apply VSR-LKH rather than LKH with the same runtime limitLKH · pla33810 and pla85900best tour length: 66061689 -> 66049981 (pla33810); 142418173 -> 142393330 (pla85900)Helped

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