Optimal design of variables switch-based sampling scheme for verifying Weibull distributed product lifetimes

Chien-Wei Wu, Ming-Hung Shu and To-Cheng Wang

Journal of Applied Statistics, 2025, vol. 52, issue 1, 119-134

Abstract: Ensuring products maintain their normal function during the warranty period is essential for companies to control warranty costs and sustain their brand reputation. A variables acceptance sampling (VAS) plan based on the lifetime performance index (LPI) is a practical technology for verifying product lifetimes because it can provide the number of failures required for life testing and the acceptance criterion for lot disposition. Recently, an LPI-based variables quick-switch sampling (VQSS) system has been developed to improve the sampling efficiency. The VQSS system manipulates the normal and tightened VAS plans for a series of lot dispositions. However, the existing LPI-based VQSS system only alters acceptance criteria to build normal and tightened VAS plans, which may limit its applicability. In this paper, we propose an LPI-based VQSS system with a mechanism that can alter the required number of failures. Compared to the existing LPI-based VQSS system, the proposed method has superior discriminatory power and moderate cost-effectiveness. Finally, we illustrate a lifetime verification of an electric vehicle’s battery as a case study to demonstrate the practicality of the proposed method.

Date: 2025
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DOI: 10.1080/02664763.2024.2360589

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