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GB/T 40681.2-2023: Statistical methods in monitoring process capability and performance - Part 2: Process capability and performance of time-dependent process models
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Statistical methods in monitoring process capability and performance - Part 2: Process capability and performance of time-dependent process models
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GB/T 40681.2-2023
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Basic data | Standard ID | GB/T 40681.2-2023 (GB/T40681.2-2023) | | Description (Translated English) | Statistical methods in monitoring process capability and performance - Part 2: Process capability and performance of time-dependent process models | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | A41 | | Classification of International Standard | 03.120.30 | | Word Count Estimation | 23,239 | | Date of Issue | 2023-11-27 | | Date of Implementation | 2024-06-01 | | Issuing agency(ies) | State Administration for Market Regulation, China National Standardization Administration | GB/T 40681.2-2023: Statistical methods in monitoring process capability and performance - Part 2: Process capability and performance of time-dependent process models
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ICS 03:120:30
CCSA41
National Standards of People's Republic of China
Statistical methods for production process capability and performance monitoring
Part 2: Time-dependent process models
Process capabilities and performance
Published on 2023-11-27 and implemented on 2024-06-01
State Administration for Market Regulation
Released by the National Standardization Administration Committee
Table of contents
PrefaceⅠ
Introduction II
1 Scope 1
2 Normative references 1
3 Terms, definitions, symbols and abbreviations 1
3:1 Terms and definitions 1
3:2 Symbol 1
3:3 Abbreviations 2
4 Process Analysis 2
5 Time-dependent distribution model 3
6 Process Capability and Performance Index13
6:1 Method for determining performance and capability index --- Overview 13
6:2 Single side specification limit 16
6:3 Application of different calculation methods 17
7 Reporting process performance/capability index17
Reference 18
Foreword
This document complies with the provisions of GB/T 1:1-2020 "Standardization Work Guidelines Part 1: Structure and Drafting Rules of Standardization Documents"
Drafting:
This document is Part 2 of GB/T 40681 "Statistical Methods for Monitoring Capability and Performance of Production Processes": GB/T 40681 has been released
The following sections are included:
---Part 2: Process capabilities and performance of time-dependent process models;
---Part 4: Process capability estimation and performance measurement;
---Part 5: Process capability and performance estimation of counting characteristics;
---Part 6: Multivariate normal process capability analysis:
This document is modified to adopt ISO 22514-2:2017 "Capability and performance of statistical methods in process management Part 2: Time dependence"
Process capabilities and performance of process models:
Compared with ISO 22514-2:2017, this document has made the following structural adjustments:
---Added the title "3:1 Terms and Definitions", 3:2 and 3:3 correspond to 3:1 and 3:2 in ISO 22514-2:2017:
The technical differences between this document and ISO 22514-2:2017 and their reasons are as follows:
---Replaced ISO 3354-2 (see Chapter 2 and Chapter 3) with normatively cited GB/T 3358:2 to facilitate readers' understanding of this document
statistical concepts;
---The explanation of the symbol "C4" has been changed (see 3:1), the original explanation is not clear;
---The explanation of the symbol "d2" has been changed (see 3:1): The original explanation is not clear:
The following editorial changes have been made to this document:
---In order to coordinate with the existing standards, the name of the standard is changed to "Statistical Methods for Monitoring Production Process Capacity and Performance - Part 2: Time
Dependent process process capabilities and performance";
---Replaced ISO 3534-1 with the informative GB/T 3358:1, and replaced ISO 7870-2 with GB/T 17989:2,
GB/T 40681:4 replaced ISO 22514-4:2016;
---Deleted the comment in the original text, which can easily cause confusion (see Chapter 1);
---Added explanations of dots and horizontal lines in b) and c) in Figures 1 to 8, the original text is missing;
---Change "xi is the order statistic" in equation (12) in Table 3 to "x(i) is the order statistic";
---Deleted the last paragraph in 6:1:3 and duplicated the second paragraph in 6:1:4;
---Suppose equation (19) "σ
=st=
n-1∑ xi-x
2" changed to "σ
=st=
N-1∑ xi-x
2":
Please note that some content in this document may be subject to patents: The publisher of this document assumes no responsibility for identifying patents:
This document is proposed and coordinated by the National Technical Committee on Standardization of Application of Statistical Methods (SAC/TC21):
This document was drafted by: Wrigley Home Furnishing Group Co:, Ltd:, Yifeng New Materials Co:, Ltd:, Shanxi Chengong New Energy Technology Co:, Ltd:
Co:, Ltd:, China Institute of Standardization, Beijing University of Technology, Guangdong University of Foreign Studies, Jilin Provincial Product Quality Supervision and Inspection Institute, Beijing Kerui
Si Technology Development Co:, Ltd:, Perfect (Guangdong) Daily Necessities Co:, Ltd:, Liaocheng Zhuoqun Auto Parts Co:, Ltd:, Dushang Precision Machinery (Jiaxing) Co:, Ltd:
company:
The main drafters of this document: Zhang Dehua, Tian Xingrun, Li Ning, Zhang Fan, Zhao Jing, Zhang Xuan, Wu Mixia, Zeng Qinghui, Ding Ruoyao, Sun Junbiao, Sun Ningzhi,
Li Ye, Jia Xiujuan, Xiao Huizhen, Qin Jilei, Shao Qiang, Liu Xiaoxiu, Cai Hu, Gao Weixing, Sun Xiaopu:
Introduction
Process capability analysis is a common statistical tool in statistical process control, used to describe the production or processing process to meet product quality requirements:
ability: GB/T 40681 is a series of standards for statistical methods for production process capability and performance monitoring, and is planned to consist of 8 parts:
---Part 1: General principles and concepts: The purpose is to describe the basic principles of capability and performance of manufacturing processes:
---Part 2: Process capabilities and performance of time-dependent process models: The purpose is to show when the parameters of product or process characteristics are related to
A method of estimating process capability or performance statistics for that characteristic when time-dependent:
---Part 3: Equipment performance research based on component measurement data: The purpose is to provide continuous production of parts under repeatable conditions
Statistical method of short-term process capability of equipment:
---Part 4: Process capability estimation and performance measurement: The purpose is to present commonly used process capability and performance measurement methods:
---Part 5: Process capability and performance estimation of counting characteristics: The purpose is to give a process capability for calculating counting characteristics and
Performance indicator methods:
---Part 6: Multivariate normal process capability analysis: The purpose is to give a set of process or product characteristics that obey a multivariate normal distribution
Statistical methods for process performance and capabilities:
---Part 7: Measuring process capabilities: The purpose is to provide methods for verifying whether the measurement system and measurement process can meet specific measurement requirements:
program:
---Part 8: Equipment performance analysis of multi-state production processes: The purpose is to give the short-term capability to verify the production process, that is, the equipment
Performance index method:
Standardization bodies at all levels as well as industry have developed many standards regarding process capability/performance: They all assume that the process is under statistical control
control state, obeying a stationary normal distribution: However, a comprehensive analysis of the production process shows that it is difficult to maintain the process over time:
This state:
Based on this fact, this document gives a statistical method for the process capability/performance of a production process under a series of time-varying models:
Law: These models are classified according to the stability of the mean and variance, i:e: whether they are constant, vary systematically, or vary randomly: because
Rather, process capability/performance can be estimated based on the distribution of processes following different shapes over time:
Detailed methods for calculating process capability/performance index are given in other parts of this series of standards: It should be noted that in
When calculating the process capability index given in this document, only a point estimate of its true value is obtained: Therefore, it is recommended to calculate and report confidence intervals for the index:
Statistical methods for production process capability and performance monitoring
Part 2: Time-dependent process models
Process capabilities and performance
1 Scope
This document provides methods for estimating process capabilities or performance statistics for a product or process characteristic when its parameters are time-dependent:
Law: The distribution models of characteristics can be divided into 8 categories, and this document also gives calculation formulas for estimating the position and divergence parameters of each type:
The statistical methods described in this document are only applicable when the quality characteristics are continuous data and are applicable to any industrial or economic sector:
production process:
2 Normative reference documents
The contents of the following documents constitute essential provisions of this document through normative references in the text: Among them, the dated quotations
For undated referenced documents, only the version corresponding to that date applies to this document; for undated referenced documents, the latest version (including all amendments) applies to
this document:
GB/T 3358:2 Statistical vocabulary and symbols Part 2: Applied statistics (GB/T 3358:2-2009, ISO 3534-2:
2006,IDT)
ISO 22514-1 Competence and performance in statistical methods in process management Part 1: General principles and concepts (Statistical
cepts)
3 Terms, definitions, symbols and abbreviations
3:1 Terms and definitions
The terms and definitions defined in GB/T 3358:2 and ISO 22514-1 apply to this document:
3:2 Symbols
The following symbols apply to this document:
Cp: process capability index:
Cpk: Minimum process capability index:
CpkL: lower process capability index:
CpkU: upper process capability index:
C4: Standard deviation control chart centerline factor, a constant related to the subgroup size n:
Δ: Divergence of the process:
ΔL: The difference between the median of product characteristic distribution and the 0:135% quantile:
ΔU: The difference between the 99:865% quantile and the median of the product characteristic distribution:
d2: Centerline factor of the range control chart, a constant related to the subgroup size n:
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