Minimum Variance and VOQL Chain Sampling Plans–ChSP-4(c₁, c₂)

Abstract

In this article the outgoing quality and the total inspection for the chain sampling plan ChSP-4(c ₁, c ₂) are introduced as well-defined random variables. The probability distributions of outgoing quality and total inspection are stated based on total rectification of non conforming units. The variances of these random variables are studied. The aim of this article is to develop procedures for minimum variance ChSP-4(c ₁, c ₂) sampling plans and their determination. In addition to minimum variance sampling plans, a procedure is developed for designing plans with a designated maximum variance, a VOQL (Variance of Outgoing Quality Limit) plan. The VOQL concept is analogous to the AOQL (Average Outgoing Quality Limit) except in the VOQL plan, it is the maximum variance which is established instead of the usual maximum AOQ.

Keywords:

• Chain sampling plans
• Minimum variance outgoing quality limit
• Outgoing quality
• Total inspection

Mathematics Subject Classification:

• Primary 62P30
• Secondary 62N10, 62E15, 65C60

Acknowledgment

The author is grateful to the referee for his invaluable comments which improved the readability of this article.