  Powder-bed-based additive manufacturing involves melting of a powder bed
using a moving laser or electron beam as a heat source. In this paper, we
formulate an optimization scheme that aims to control this type of melting. The
goal consists of tracking maximum temperatures on lines that run along the beam
path. Time-dependent beam parameters (more specifically, beam power, spot size,
and speed) act as control functions. The scheme is greedy in the sense that it
exploits local properties of the melt pool in order to divide a large
optimization problem into several small ones. As illustrated by numerical
examples, the scheme can resolve heat conduction issues such as concentrated
heat accumulation at turning points and non-uniform melt depths.
