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Figure 3 | Journal of Mathematics in Industry

Figure 3

From: A greedy algorithm for optimal heating in powder-bed-based additive manufacturing

Figure 3

The greedy algorithm divides the optimization problem (6) into several smaller optimization problems that are easier to solve. The procedure involves a division of the beam path into subintervals. Localized optimization problems are solved on these intervals and optimal parameters are frozen in steps. After each such step, a new sub-problem is created by translating in time (ans space) and updating the initial condition. Here \(q=p+3\) and \(r=1\) (see Algorithm 1).

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