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 ...

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 ...

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 ...

We introduce and study the Travelling Salesman Problem with Multiple Time Windows and Hotel Selection (TSP-MTWHS), which generalises the well-known Travelling Salesman Problem with Time Windows and ...

1. Challenges -- Tour of the United States -- An impossible task? -- One problem at a time -- Road map of the book -- 2. Origins of the problem -- Before the mathematicians -- Euler and Hamilton -- ...

A classic mathematical problem that finds the shortest distance of round trip travel between multiple locations. The traveling salesman problem (TSP) generates directions from city 1 to city 2 and so ...

The amoeba is known to maximize nutrient acquisition efficiently by deforming its body. It has shown to find an approximate solution to the traveling salesman problem (TSP), i.e., given a map of a ...

Mathematical puzzles don't often get to star in feature films, but P vs NP is the subject of an upcoming thriller from Timothy Lanzone called "Travelling Salesman". The titles refers to the ...

We have found the best path to take between the stars. The travelling salesman problem, an infamous mathematical puzzle that seeks the shortest route between many locations while visiting each only ...

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 ...