Large Neighborhood Search with Decision Diagrams
Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence
Main Track. Pages 4754-4760.
https://doi.org/10.24963/ijcai.2022/659
Local search is a popular technique to solve combinatorial
optimization problems efficiently. To escape local minima one generally uses
metaheuristics or try to design large neighborhoods around the current best
solution. A somewhat more black box approach consists in using an
optimization solver to explore a large neighborhood. This is the
large-neighborhood search (LNS) idea that we reuse in this work. We
introduce a generic neighborhood exploration algorithm based on restricted
decision diagrams (DD) constructed from the current best
solution. We experiment DD-LNS on two sequencing problems: the
traveling salesman problem with time windows (TSPTW) and a production
planning problem (DLSP). Despite its simplicity, DD-LNS is competitive with
the state-of-the-art MIP approach on DLSP. It is able to improve the
best known solutions of some standard instances for TSPTW and even to prove
the optimality of quite a few other instances.
Keywords:
Search: Combinatorial Search and Optimisation
Constraint Satisfaction and Optimization: Constraint Optimization
Constraint Satisfaction and Optimization: Solvers and Tools
Search: Meta-Reasoning and Meta-Heuristics