Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index

The single level continuous sampling plan (CSP-1) is an in-line process control tool that has been commonly adopted in various manufacturing industries. However, CSP-1 is designed for only satisfying the quality constraint. At the same time, CSP-1 has disadvantages with the high probabilities of bot...

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Main Authors: Chunzhi Li, Shurong Tong, Keqin Wang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/1917252
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author Chunzhi Li
Shurong Tong
Keqin Wang
author_facet Chunzhi Li
Shurong Tong
Keqin Wang
author_sort Chunzhi Li
collection DOAJ
description The single level continuous sampling plan (CSP-1) is an in-line process control tool that has been commonly adopted in various manufacturing industries. However, CSP-1 is designed for only satisfying the quality constraint. At the same time, CSP-1 has disadvantages with the high probabilities of both Type I and Type II errors due to its inherent deficiency coming from the operating procedure. In this work, an optimal scheme for process quality and cost control is proposed to monitor the process cost and improve the process quality. The CSP-1 and the process yield index (Spk) are integrated in the present scheme, which work independently and complementarily. The four parameters (clearance number, inspecting fraction, sample size, and critical value) are designed in the proposed scheme under simultaneously considering the quality and cost constraints. The sole feasible inspection scheme in CSP-1 under the two constraints is found and used for controlling the process quality. The probabilities of Type I and Type II errors are concurrently controlled at the stipulated level with the risk control scheme, which is constructed with two nonlinear inequation based on the accurate distribution of the index Spk. A case study is illustrated to validate the effectiveness and practicality of the proposed scheme.
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spelling doaj-art-7e6db9b1a7e04aae8b13e7d2f4d3bf1b2025-02-03T05:57:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/19172521917252Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield IndexChunzhi Li0Shurong Tong1Keqin Wang2School of Management, Northwestern Polytechnical University, No. 1, Dongxiang Road, Chang’an District, Xi’an 710129, ChinaSchool of Management, Northwestern Polytechnical University, No. 1, Dongxiang Road, Chang’an District, Xi’an 710129, ChinaSchool of Management, Northwestern Polytechnical University, No. 1, Dongxiang Road, Chang’an District, Xi’an 710129, ChinaThe single level continuous sampling plan (CSP-1) is an in-line process control tool that has been commonly adopted in various manufacturing industries. However, CSP-1 is designed for only satisfying the quality constraint. At the same time, CSP-1 has disadvantages with the high probabilities of both Type I and Type II errors due to its inherent deficiency coming from the operating procedure. In this work, an optimal scheme for process quality and cost control is proposed to monitor the process cost and improve the process quality. The CSP-1 and the process yield index (Spk) are integrated in the present scheme, which work independently and complementarily. The four parameters (clearance number, inspecting fraction, sample size, and critical value) are designed in the proposed scheme under simultaneously considering the quality and cost constraints. The sole feasible inspection scheme in CSP-1 under the two constraints is found and used for controlling the process quality. The probabilities of Type I and Type II errors are concurrently controlled at the stipulated level with the risk control scheme, which is constructed with two nonlinear inequation based on the accurate distribution of the index Spk. A case study is illustrated to validate the effectiveness and practicality of the proposed scheme.http://dx.doi.org/10.1155/2018/1917252
spellingShingle Chunzhi Li
Shurong Tong
Keqin Wang
Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index
Discrete Dynamics in Nature and Society
title Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index
title_full Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index
title_fullStr Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index
title_full_unstemmed Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index
title_short Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index
title_sort optimal scheme for process quality and cost control by integrating a continuous sampling plan and the process yield index
url http://dx.doi.org/10.1155/2018/1917252
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AT shurongtong optimalschemeforprocessqualityandcostcontrolbyintegratingacontinuoussamplingplanandtheprocessyieldindex
AT keqinwang optimalschemeforprocessqualityandcostcontrolbyintegratingacontinuoussamplingplanandtheprocessyieldindex