Single-objective optimal designs or constraint optimal designs have widely been studied in life-testing experiment literature. However, the experiments having multiple objectives did not get relevant attention so far. Compound optimal designs are usually employed in statistical design problems where the experiment possesses multiple goals. This article introduces the concept of compound optimal design in life-testing experiments. A graphical solution approach is developed to find the optimal design, which is easy to compute and interpret. At the end, the equivalence of the compound optimal design and the constraint optimal design has been established. The advantage of using compound optimal design over the constraint optimal design is demonstrated through one example. Finally, one real-life data set is analyzed to in life-testing experiment illustrate the applicability of the proposed approach in practice.

在寿命测试实验文献中，对单目标最优设计或约束最优设计进行了广泛的研究。但是，到目前为止，具有多个目标的实验尚未引起相关关注。复合优化设计通常用于实验具有多个目标的统计设计问题中。本文介绍了寿命试验中复合优化设计的概念。开发了一种图形解决方案方法以找到最佳设计，该设计易于计算和解释。最后，建立了复合最优设计与约束最优设计的等价关系。通过一个示例证明了使用复合优化设计优于约束优化设计的优势。最后，