In designing an optimal life-testing experiment under censoring setup, the design parameters are usually chosen by optimizing a suitable criterion function. The criterion function is chosen by using either a variance-based or a cost-based model, and sometimes a combination of both these factors. However, it is an optimization problem with a single objective function. In this article, a multi-criteria-based optimization problem is considered in the context of hybrid censored life-testing experiment. Both the variance and the cost factors are optimized simultaneously. The exact distribution of the maximum likelihood estimate of the lifetime model parameter is used to construct the optimality criteria. All the proposed methods are illustrated through numerical examples. One dataset is finally analyzed for real-life applications.

中文翻译：

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混合检查方案下基于多准则的最优寿命测试计划

在检查设置下设计最佳寿命测试实验时，通常通过优化合适的准则函数来选择设计参数。通过使用基于差异的模型或基于成本的模型，有时使用这两个因素的组合来选择标准函数。但是，这是具有单个目标函数的优化问题。本文在混合审查的寿命测试实验的背景下考虑了基于多准则的优化问题。同时优化了方差和成本因素。寿命模型参数的最大似然估计的精确分布用于构造最优性标准。通过数值例子说明了所有提出的方法。最后分析一个数据集以用于实际应用。