A new system of skip-lot sampling plans including resampling.

Area of Science:

• Industrial Engineering
• Quality Control
• Statistical Process Control

Background:

• Skip-lot sampling plans reduce inspection efforts and costs for products with established good quality.
• Existing plans like SkSP-2 offer economic advantages but may have limitations in efficiency.

Purpose of the Study:

• To introduce and evaluate a novel skip-lot sampling plan, termed SkSP-R.
• To assess the performance and efficiency of the proposed SkSP-R plan compared to existing methods.

Main Methods:

• The study utilizes Markov chain formulation to derive performance measures for the SkSP-R plan.
• Comparative analysis is conducted against single sampling plans and the SkSP-2 plan.

Main Results:

• The proposed SkSP-R plan demonstrates superior efficiency compared to the single sampling plan.
• SkSP-R shows greater efficiency than the established SkSP-2 skip-lot sampling plan.

Conclusions:

• The SkSP-R plan is an effective and more efficient alternative for industrial quality inspection.
• This new plan offers enhanced economic benefits by optimizing inspection processes.