Design of a New Synthetic Acceptance Sampling Plan

Muhammad Aslam,Saeed Dobbah,Khushnoor Khan

doi:10.3390/sym10110653

Abstract

In this paper, we propose a new synthetic sampling plan assuming that the quality characteristic follows the normal distribution with known and unknown standard deviation. The proposed plan is given and the operating characteristic (OC) function is derived to measure the performance of the proposed sampling plan for some fixed parameters. The parameters of the proposed sampling plan are determined using non-linear optimization solution. A real example is added to explain the use of the proposed plan by industry.

Highlights

Every industry in the world is keen to attract customers through the high quality of its products [1].The assurance of high-quality products can be achieved by implementing some inspection criteria for accepting or rejecting at every level of production from raw material to final finished product [2].The inspection is done through some specific rules known as a sampling plan
A variety of acceptance sampling plans have been used in industry for the inspection of products—for example, applications of a sampling plan in a hospital pharmacy [4], in pulp manufacturing [5], and in food control [6]
The attribute sampling plan is usually used when data are obtained through the counting process and a variable sampling plan is used with measurement data

Summary

Introduction

Every industry in the world is keen to attract customers through the high quality of its products [1]. The attribute sampling plan is usually used when data are obtained through the counting process and a variable sampling plan is used with measurement data Both sampling plans have been widely used in industry for the inspection of the finished product (for example, see [7,8,9,10]). Haq and Khoo [20] proposed a new synthetic control chart that uses statistical information on both the main variable and the auxiliary variable. They compared the performance of a new statistic with a classical statistic.

Design of the Proposed Sampling Plan

Plan When the Standard Deviation Is Unknown

The Advantages of the Proposed Plan

Application of the Proposed Plan

Conclusions