With neither minds nor maps- chemical-sensing immune players do well with decades-old mathematical problem, a computer simulation reveals.

This paper elaborates a method of attack on traveling-salesman problems, proposed by the authors in an earlier paper, in which linear programming is used to reduce the combinatorial magnitude of such ...

Given a graph whose arc traversal times vary over time, the time-dependent travelling salesman problem (TDTSP) consists in finding a Hamiltonian tour of least total duration covering the vertices of ...

Forget GPS. With no fancy maps or even brains, immune system cells can solve a simple version of the traveling-salesman problem, a computational conundrum that has vexed mathematicians for decades.

Techniques such as dynamic programming were able to get the number of routes to calculate down to n 2 2 n or 7,372,800 possible routes for 15 destinations, a far cry less than one trillion.

We need to understand how they can solve the Travelling Salesman Problem without a computer. What short-cuts do they use?' Story Source: Materials provided by University of Royal Holloway London.

Figure 1: Traveling Salesman Problem Using an Evolutionary Algorithm in Action This article assumes you have intermediate or better programming skill but doesn't assume you know anything about ...

The task is the long-standing challenge known as the traveling salesman problem, or TSP for short. Finding a method that can quickly solve every example of the TSP would be a stunning breakthrough ...

Despite these advancements, the solution to the travelling salesman problem still eludes mathematicians today. The Clay Mathematics Institute is offering a $1-million prize to anyone who can solve it ...