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The computation of Pareto-optimal set in multicriterial optimization of rapid prototyping processes

机译:快速原型过程多准则优化中的帕累托最优集的计算

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摘要

The purpose of this research is the multicriterial optimization of rapid prototyping processes. The mathematical model of the optimization problem takes into consideration as optimization criteria, surface quality of the prototype and the time of manufacturing. Based on the mathematical model, a practical method to find the Pareto-optimal set is developed, as a main goal. To solve the optimization problem, a computer program for rapid prototyping processes simulation was designed. The program calculates the geometry of successive layers, as well as the necessary time for their materialization. Depending on the importance degree of each optimization criterion, the program offers the optimal solution. In addition, when it is necessary, the program allows the user intervention in solving the problem optimization. The theoretical concepts presented in this research are very suggestively illustrated on a comprehensive case study. Starting from the Pareto-optimal set diagrams for the cases of LOM and SLS technologies, the optimal solutions are graphically illustrated in a very suggestive manner.
机译:这项研究的目的是快速原型制作过程的多准则优化。优化问题的数学模型将优化标准,原型的表面质量和制造时间考虑在内。基于该数学模型,开发了一种实用的方法来寻找帕累托最优集,并将其作为主要目标。为了解决优化问题,设计了用于快速原型过程仿真的计算机程序。该程序将计算连续层的几何形状以及实现它们所需的时间。根据每个优化标准的重要程度,该程序可以提供最佳解决方案。此外,在必要时,该程序允许用户干预以解决问题的优化。在全面的案例研究中非常有启发性地说明了本研究中提出的理论概念。从针对LOM和SLS技术的情况的帕累托最优设置图开始,以非常有启发性的方式以图形方式说明了最优解。

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