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Reinforcement Learning for Branch-and-Bound Optimisation Using Retrospective Trajectories

AAAI 2023 · Reinforcement learning › Imitation learning · approach: Imitation combined with RL · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use retrospectively constructed within-subtree trajectories instead of full-episode trajectories (ablation)RL branching on Set Covering (500×1000) · Set Covering (500×1000)# B&B nodes: 14× fewer nodesHelped
Use retrospective trajectories rather than FMSTS-style training without retrospective trajectories (ablation)RL branching on Set Covering (500×1000) · Set Covering (500×1000), DFS test setting# B&B nodes: 5×Helped
Use retrospective trajectories rather than FMSTS-style training without retrospective trajectories (ablation)RL branching on Set Covering (500×1000) · Set Covering (500×1000), non-DFS test setting# B&B nodes: 3×Helped
Use a non-DFS node selection strategy instead of DFS during training and evaluation (ablation)FMSTS · Set Covering (500×1000)# B&B nodesHelped
Use maximum LP gain rather than random, visitation-order, or deepest trajectory construction (ablation)Retro · Set Covering (500×1000)# B&B nodesNo clear effect
Use retro branching rather than pseudocost branchingBranching policy · Set Covering, Combinatorial Auction, Capacitated Facility Location, Maximum Independent Set# NodesMixed
Use retro branching rather than imitation learningBranching policy · Set Covering (small)# Nodes: 10.5 -> 8.68Helped
Use retro branching rather than imitation learningBranching policy · Combinatorial Auction# Nodes: 5.29 -> 5.73Hurt
Use retro branching rather than imitation learningBranching policy · Capacitated Facility Location# Nodes: 10.2 -> 10.1Helped
Use retro branching rather than imitation learningBranching policy · Maximum Independent Set# Nodes: 4.08 -> 4.01Helped
Use retro branching rather than imitation learningBranching policy · Set Covering (500×1000)# B&B tree size: ≈20% largerHurt
Train the Retro agent with full-episode trajectories rather than retrospective trajectories (ablation)RL branching · Set Covering (500×1000)# B&B nodes: 14× fewer nodes with RetroHurt

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