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Neural Combinatorial Optimization with RL

TensorFlow implementation of:
Neural Combinatorial Optimization with Reinforcement Learning, Bello I., Pham H., Le Q. V., Norouzi M., Bengio S.
for the TSP with Time Windows (TSP-TW).
and Learning Heuristics for the TSP by Policy Gradient, Deudon M., Cournut P., Lacoste A., Adulyasak Y. and Rousseau L.M.
for the Traveling Salesman Problem (TSP) (final release here)

model

The Neural Network consists in a RNN or self attentive encoder-decoder with an attention module connecting the decoder to the encoder (via a "pointer"). The model is trained by Policy Gradient (Reinforce, 1992).

Requirements

Architecture

(under progress)

Usage

TSP

  • To train a (2D TSP20) model from scratch (data is generated on the fly):
> python main.py --max_length=20 --inference_mode=False --restore_model=False --save_to=20/model --log_dir=summary/20/repo

NB: Just make sure ./save/20/model exists (create folder otherwise)

  • To visualize training on tensorboard:
> tensorboard --logdir=summary/20/repo
  • To test a trained model:
> python main.py --max_length=20 --inference_mode=True --restore_model=True --restore_from=20/model

TSP-TW

  • To pretrain a (2D TSPTW20) model with infinite travel speed from scratch:
> python main.py --inference_mode=False --pretrain=True --restore_model=False --speed=1000. --beta=3  --save_to=speed1000/n20w100 --log_dir=summary/speed1000/n20w100
  • To fine tune a (2D TSPTW20) model with finite travel speed:
> python main.py --inference_mode=False --pretrain=False --kNN=5 --restore_model=True --restore_from=speed1000/n20w100 --speed=10.0 --beta=3 --save_to=speed10/s10_k5_n20w100 --log_dir=summary/speed10/s10_k5_n20w100

NB: Just make sure save_to folders exist

  • To visualize training on tensorboard:
> tensorboard --logdir=summary/speed1000/n20w100

> tensorboard --logdir=summary/speed10/s10_k5_n20w100
  • To test a trained model with finite travel speed on Dumas instances (in the benchmark folder):
> python main.py --inference_mode=True --restore_model=True --restore_from=speed10/s10_k5_n20w100 --speed=10.0

Results

TSP

Sampling 128 permutations with the Self-Attentive Encoder + Pointer Decoder:

  • Comparison to Google OR tools on 1000 TSP20 instances: (predicted tour length) = 0.9983 * (target tour length)

Self_Net_TSP20

TSP-TW

Sampling 256 permutations with the RNN Encoder + Pointer Decoder, followed by a 2-opt post processing on best tour:

  • Dumas instance n20w100.001 tsptw1
  • Dumas instance n20w100.003 tsptw2

Authors

Michel Deudon / @mdeudon

Pierre Cournut / @pcournut

References

Bello, I., Pham, H., Le, Q. V., Norouzi, M., & Bengio, S. (2016). Neural combinatorial optimization with reinforcement learning. arXiv preprint arXiv:1611.09940.