Improved Branch-and-Bound for Low Autocorrelation Binary Sequences
This work addresses a long-standing bottleneck in complete search for a problem relevant to telecommunications, physics, and optimization research, though it is incremental in nature.
The paper tackled the Low Autocorrelation Binary Sequence problem by improving a branch-and-bound method from 1996, resulting in a tighter relaxation, faster convergence to optimality, and better empirical scalability.
The Low Autocorrelation Binary Sequence problem has applications in telecommunications, is of theoretical interest to physicists, and has inspired many optimisation researchers. Metaheuristics for the problem have progressed greatly in recent years but complete search has not progressed since a branch-and-bound method of 1996. In this paper we find four ways of improving branch-and-bound, leading to a tighter relaxation, faster convergence to optimality, and better empirical scalability.