The paper describes a new algorithm to produce r-optimal tours for the travelling salesman problem. This algorithm is faster than the original r-optimal method, and computation times increase much ...

Given a graph with arc costs, the Bottleneck Traveling Salesman Problem is to find a Hamiltonian circuit that minimizes the largest cost of any of its arcs. Lower bounds for the problem (bottleneck ...

The goal of a combinatorial optimization problem is to find a set of distinct integer values that minimizes some cost function. The most famous example is the Traveling Salesman Problem (TSP). There ...

Dr. James McCaffrey of Microsoft Research uses full code samples to detail an evolutionary algorithm technique that apparently hasn't been published before. The goal of a combinatorial optimization ...

The travelling salesman problem (TSP) remains one of the most challenging NP‐hard problems in combinatorial optimisation, with significant implications for logistics, network design and route planning ...

When Nathan Klein started graduate school two years ago, his advisers proposed a modest plan: to work together on one of the most famous, long-standing problems in theoretical computer science. Even ...