A Mathematical Programming Model for Minimizing Energy Consumption on a Selective Laser Melting Machine

Chunlong Yu () and Junjie Lin
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Chunlong Yu: School of Mechanical Engineering, Tongji University, Shanghai 201804, China
Junjie Lin: School of Mechanical Engineering, Tongji University, Shanghai 201804, China

Mathematics, 2024, vol. 12, issue 16, 1-20

Abstract: The scheduling problem in additive manufacturing is receiving increasing attention; however, few have considered the effect of scheduling decisions on machine energy consumption. This research focuses on the nesting and scheduling problem of a single selective laser melting (SLM) machine to reduce total energy consumption. Based on an energy consumption model, a nesting and scheduling problem is formulated, and a mixed integer linear programming model is proposed. This model simultaneously determines part-to-batch assignments, part placement in the batch, and the choice of build orientation to reduce the total energy consumption of the SLM machine. The energy-saving potential of the model is validated through numerical experiments. Additionally, the effect of the number of alternative build orientations on energy consumption is explored.

Keywords: 3D printing; selective laser melting; energy saving; nesting; scheduling; mathematical programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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