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While there are optimal TSP solvers, as well as recent learning-based approaches, the generalization of the TSP to the Multiple Traveling Salesmen Problem is much less studied.
Concerning nonnegative matrices and doubly stochastic matrices
Richard Sinkhorn and Paul Knopp · 1967
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An effective heuristic algorithm for the traveling-salesman problem
Shen Lin and Brian W Kernighan · 1973
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Worst-case analysis of a new heuristic for the travelling salesman problem
Nicos Christofides · 1976
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The Euclidean travelling salesman problem is NP-complete
Christos H Papadimitriou · 1977
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“Neural” computation of decisions in optimization problems
J. J. Hopfield and D. W. Tank · 1985
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A neural network algorithm for the multiple traveling salesmen problem
E Wacholder, J Han, and RC Mann · 1989
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TSPLIB-—A traveling salesman problem library
Gerhard Reinelt · 1991
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Solving vehicle routing problems using elastic nets
Andrew I Vakhutinsky and BL Golden · 1994
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Softassign versus softmax: Benchmarks in combinatorial optimization
Steven Gold and Anand Rangarajan · 1996
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A competitive neural network algorithm for solving vehicle routing problem
Abdolhamid Torki, Samerkae Somhon, and Takao Enkawa · 1997
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A self-organizing neural network approach for multiple traveling salesman and vehicle routing problems
Abdolhamid Modares, Samerkae Somhom, and Takao Enkawa · 1999
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Competition-based neural network for the multiple travelling salesmen problem with minmax objective
Samerkae Somhom, Abdolhamid Modares, and Takao Enkawa · 1999
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Concorde TSP solver, 2006
David Applegate, Ribert Bixby, Vasek Chvatal, and William Cook · 2006
Cited alongside, same era.
The multiple traveling salesman problem: an overview of formulations and solution procedures
Tolga Bektas · 2006
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URL https://developers.google.com/optimization/
Google OR-Tools, 2012 · 2012
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Discriminative Embeddings of Latent Variable Models for Structured Data
H. Dai, B. Dai, and L. Song · 2016
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Learning combinatorial optimization algorithms over graphs
Elias Khalil, Hanjun Dai, Yuyu Zhang, Bistra Dilkina, and Le Song · 2017
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Semi-supervised classification with graph convolutional networks
Thomas N. Kipf and Max Welling · 2017
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Learning to Align the Source Code to the Compiled Object Code
Dor Levy and Lior Wolf · 2017
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Pointnet: Deep learning on point sets for 3d classification and segmentation
Charles R Qi, Hao Su, Kaichun Mo, and Leonidas J Guibas · 2017
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Attention is All you Need
Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Lukasz Kaiser, and Illia Polosukhin · 2017
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Diederik P Kingma and Jimmy Ba · 2014
Cited alongside, same era.
Tackling the Bi-criteria Facet of Multiple Traveling Salesman Problem with Ant Colony Systems
Raluca Necula, Mihaela Breaban, and Madalina Raschip · 2015
Cited alongside, same era.
Jimmy Lei Ba, Jamie Ryan Kiros, and Geoffrey E Hinton · 2016
Cited alongside, same era.
Neural combinatorial optimization with reinforcement learning
Irwan Bello, Hieu Pham, Quoc V Le, Mohammad Norouzi, and Samy Bengio · 2016
Cited alongside, same era.
Order matters: Sequence to sequence for sets
Oriol Vinyals, Samy Bengio, and Manjunath Kudlur
Cited in the paper.
Pointer networks
Oriol Vinyals, Meire Fortunato, and Navdeep Jaitly
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Deep Sets
Manzil Zaheer, Satwik Kottur, Siamak Ravanbakhsh, Barnabas Poczos, Ruslan R Salakhutdinov, and Alexander J Smola · 2017
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WWM Kool and M Welling · 2018
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Deep reinforcement learning for solving the vehicle routing problem
Mohammadreza Nazari, Afshin Oroojlooy, Lawrence V Snyder, and Martin Takáč · 2018
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