We present a polynomial-time approximation algorithm with worst-case ratio 7/6 for the special case of the traveling salesman problem in which all distances are either one or two. We also show that ...

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 ...

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

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.

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.

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 ...

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 ...

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.