A greedy algorithm for optimal heating in powder-bed-based additive manufacturing
Journal article, 2021

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.

Process control

Additive manufacturing

Powder bed fusion

Greedy optimization


Robert Forslund

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Arcam AB

Anders Snis

Arcam AB

Stig Larsson

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Journal of Mathematics in Industry

2190-5983 (ISSN)

Vol. 11 1 14

Matematik för elektronstrålesmältning: 3D-skrivning i metall

Swedish Foundation for Strategic Research (SSF) (ID15-0058), 2016-01-01 -- 2020-12-31.

Subject Categories

Energy Engineering

Computational Mathematics

Other Physics Topics

Control Engineering



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