Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning

DR Morrison, SH Jacobson, JJ Sauppe, EC Sewell - Discrete Optimization, 2016 - Elsevier
The branch-and-bound (B&B) algorithmic framework has been used successfully to find
exact solutions for a wide array of optimization problems. B&B uses a tree search strategy to …

The traveling salesman problem

M Jünger, G Reinelt, G Rinaldi - Handbooks in operations research and …, 1995 - Elsevier
Publisher Summary The traveling salesman problem, TSP for short, has model character in
many branches of mathematics, computer science, and operations research. Heuristics …

Exact combinatorial optimization with graph convolutional neural networks

M Gasse, D Chételat, N Ferroni… - Advances in neural …, 2019 - proceedings.neurips.cc
Combinatorial optimization problems are typically tackled by the branch-and-bound
paradigm. We propose a new graph convolutional neural network model for learning branch …

Hybrid models for learning to branch

P Gupta, M Gasse, E Khalil… - Advances in neural …, 2020 - proceedings.neurips.cc
Abstract A recent Graph Neural Network (GNN) approach for learning to branch has been
shown to successfully reduce the running time of branch-and-bound algorithms for Mixed …

Ant colony optimization

M Dorigo, M Birattari, T Stutzle - IEEE computational …, 2006 - ieeexplore.ieee.org
Swarm intelligence is a relatively new approach to problem solving that takes inspiration
from the social behaviors of insects and of other animals. In particular, ants have inspired a …

A survey for solving mixed integer programming via machine learning

J Zhang, C Liu, X Li, HL Zhen, M Yuan, Y Li, J Yan - Neurocomputing, 2023 - Elsevier
Abstract Machine learning (ML) has been recently introduced to solving optimization
problems, especially for combinatorial optimization (CO) tasks. In this paper, we survey the …

[图书][B] Integer programming

LA Wolsey - 2020 - books.google.com
A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER
VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming …

An effective implementation of the Lin–Kernighan traveling salesman heuristic

K Helsgaun - European journal of operational research, 2000 - Elsevier
This paper describes an implementation of the Lin–Kernighan heuristic, one of the most
successful methods for generating optimal or near-optimal solutions for the symmetric …

[引用][C] How to Solve it: Modern Heuristics

Z Michalewicz - 2013 - books.google.com
No pleasure lasts long unless there is variety in it. Publilius Syrus, Moral Sayings We've
been very fortunate to receive fantastic feedback from our readers during the last four years …

The traveling salesman problem: a case study

DS Johnson, LA McGeoch - Local search in combinatorial …, 1997 - degruyter.com
8 The traveling salesman problem: a case study Page 1 8 The traveling salesman problem: a
case study David S. Johnson AT& T Labs-Research, Florham Park Lyle A. McGeoch Amherst …