Why is the e-function used to decide whether to accept a worse solution or not? To be more specific: Why was $e$ chosen as basis?
The propability to accept a worse solution is described with: $p=e^{-\frac{E(y)-E(x)}{kT}}$
$E(y)$ is the energy from the old solution $E(x)$ is the energy from new solution $T$ is a constant temprature decreasing with a constant factor k in every iteration.