Determination of new multiple deferred state sampling plan with economic perspective under Weibull distribution

Area of Science:

• Quality Control
• Reliability Engineering
• Statistical Process Control

Background:

• Ensuring product mean lifetime is crucial for consumer satisfaction and manufacturer reputation.
• Existing sampling plans may not be cost-effective or sufficiently discriminating for all product types.
• The Weibull distribution is widely used to model product lifetimes.

Purpose of the Study:

• To design and evaluate a novel multiple deferred state sampling plan.
• To ensure products meet specified mean lifetime requirements based on the Weibull distribution.
• To assess the economic efficiency and quality assurance capabilities of the proposed plan.

Main Methods:

• Designing a multiple deferred state sampling plan using two points on the operating characteristic curve.
• Applying the plan to electrical appliances (real-time data) and Lithium-ion batteries (simulated data).
• Conducting sensitivity analysis on testing time and comparing theoretical vs. simulated average sample numbers.

Main Results:

• The proposed sampling plan demonstrates superior discriminating power and requires fewer units for lot sentencing.
• It provides effective quality assurance for products with a Weibull distribution.
• The plan offers significant cost reductions in inspection and overall economic benefits.

Conclusions:

• The new multiple deferred state sampling plan is a cost-effective and efficient tool for quality assurance.
• It outperforms existing sampling plans in terms of discriminating power and economic design.
• The plan is practically applicable to diverse products like electrical appliances and batteries.