This paper concerns finding a tight lower bound to the travelling-salesman problem, with the hope that all the different branch-and-bound algorithms for this problem can benefit from it. The bound is ...

Many important and valuable planning and scheduling problems in logistics and automation are combinatorial optimization problems. The most famous problem of this type is the traveling salesman problem ...

A new approach to solving the ‘Travelling Salesperson Problem’ – one of the most difficult questions in computer science – significantly outperforms current approaches. A notorious theoretical ...

Many algorithms have been developed for the optimal solution of the asymmetric travelling salesman problem: the most efficient ones are based on the subtour elimination approach. This paper presents a ...

Quantum physicists have developed an algorithm that uses a single qubit to solve a problem that had previously needed thousands of them. Quantum computing offers the hope of dramatic increases in ...

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