Heterogeneous Attentions for Solving Pickup and Delivery Problem via
Deep Reinforcement Learning
- URL: http://arxiv.org/abs/2110.02634v1
- Date: Wed, 6 Oct 2021 10:16:07 GMT
- Title: Heterogeneous Attentions for Solving Pickup and Delivery Problem via
Deep Reinforcement Learning
- Authors: Jingwen Li, Liang Xin, Zhiguang Cao, Andrew Lim, Wen Song, Jie Zhang
- Abstract summary: We leverage a novel neural network integrated with a heterogeneous attention mechanism to empower the policy in deep reinforcement learning to automatically select the nodes.
In particular, the heterogeneous attention mechanism prescribes attentions for each role of the nodes while taking into account the precedence constraint.
Our method outperforms the state-of-the-art and deep learning model, respectively, and generalizes well to different distributions and problem sizes.
- Score: 14.627657852087994
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Recently, there is an emerging trend to apply deep reinforcement learning to
solve the vehicle routing problem (VRP), where a learnt policy governs the
selection of next node for visiting. However, existing methods could not handle
well the pairing and precedence relationships in the pickup and delivery
problem (PDP), which is a representative variant of VRP. To address this
challenging issue, we leverage a novel neural network integrated with a
heterogeneous attention mechanism to empower the policy in deep reinforcement
learning to automatically select the nodes. In particular, the heterogeneous
attention mechanism specifically prescribes attentions for each role of the
nodes while taking into account the precedence constraint, i.e., the pickup
node must precede the pairing delivery node. Further integrated with a masking
scheme, the learnt policy is expected to find higher-quality solutions for
solving PDP. Extensive experimental results show that our method outperforms
the state-of-the-art heuristic and deep learning model, respectively, and
generalizes well to different distributions and problem sizes.
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