Interval Multi-objective Optimization Design Based on Physical Programming

This paper develops a new effective and computationally-efficient approach for design optimization, hereby entitled interval physical programming optimization design. In view of the limitation that weights without physical meaning are required to be provided in traditional evaluation methods, physical programming is used in multi-objective optimization problem. Considering the uncertain factors in manufacture process and operation environment, the interval physical programming model (IPP) is improved. Decision-makers only need to set the boundary values of each preference range，thereby the interval objective of selected projects are computed with the IPP model. To address the existing problems in structure optimal design, the manufacturing tolerances of each dimension are defined as the region limits of design variables. The example of multi-objective optimization design of a pinned-pinned sandwich-beam demonstrates the effectiveness and practicality of the proposed method.

---

W artykule zaproponowano nowy skuteczny model optymalizacji projektowania nazwany: interval physical programming optimization design. Model wykorzystuje problem optymalizacji wieloobiektowej uwzględniając niepewność w procesie produkcji i warunki środowiskowe.