# A Novel Quality Defects Diagnosis Method for the Manufacturing Process of Large Equipment Based on Product Gene Theory

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^{2}

^{3}

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## Abstract

**:**

## 1. Introduction

#### 1.1. Problem Statements

#### 1.2. Research Framework

## 2. Related Work

## 3. Product Gene Theory

**Definition**

**1.**

#### 3.1. Product Gene Model for Dynamic Quality Control

**Definition**

**2.**

**Definition**

**3.**

**Definition**

**4.**

_{1}, C

_{2}, C

_{3}, …, C

_{a}). It describes the size, precision, and feature properties of a processing surface. Here, the properties include length, width, radius, screw-pitch, roughness, hardness, and so on, of which each is represented by a C

_{i}.

**Definition**

**5.**

_{1}, P

_{2}, P

_{3}, …, P

_{b}). It describes the information of processing types and methods of a processing surface. Here, P

_{i}consists of the allowance of one side and the processing mode of process i, which is shown by P

_{i}= (AW

_{i}, PMC

_{i}).

**Definition**

**6.**

_{1}, I

_{2}, I

_{3}, …, I

_{c}). Quality influencing factors mainly include operator, equipment, material, process, measurement, and environment (5M1E) [35]. Therefore, 5M1E is the basis of the quality influence factors set. In Quality Influence Factors Set, I

_{i}= (CW

_{i}, TM

_{i}, MA

_{i}, ETEM

_{i}, HMD

_{i}, IM

_{i}, TL

_{i}, PTEM

_{i}) represents the information of influence quality of process i. Here, the eight symbols in I

_{i}represent the capability of the worker, type of machine, age of machine, temperature of environment, humidity of environment, method of detection, time of heat treatment, and temperature of heat treatment, respectively. The number of quality influence factors involved in different processes are different. MAT represents the material of target gene unit. The structure of I has strong adaptability in meeting the demands of extensive collaborative manufacturing of large equipment.

**Definition**

**7.**

**Definition**

**8.**

_{1}, pe

_{2}, pe

_{3}, …, pe

_{d}) which contains a set of strings which represent different defects and different states of the target surface.

#### 3.2. Encoding Method of Product Gene

_{1}, evs

_{2}, …, evs

_{e}) and EMS = (ems

_{1}, ems

_{2}, …, ems

_{f}) respectively. If values in EMS are the same, then EMS = ems. This approach can effectively reduce the number of encodings.

#### 3.3. Similarity Calculation Rule

**Definition**

**9.**

_{1}, kcl

_{2}, kcl

_{3}, …, kcl

_{g}). The encoding method of KGU is the same as GU.

^{th}character in StrA and StrB respectively. Len(StrA(i)==StrB(i)) represents the number of the same characters between StrA and StrB. Len(StrA) and Len(StrB) represent the length of StrA and StrB, respectively.

_{max}(j) is the maximum value of the j

^{th}discrete variable and Dre

_{min}(j) is the minimum value of the j

^{th}discrete variable. Each of them represents a certain interval or one of the predefined values. For instance, the capabilities of workers can be divided into several levels with an expression of WLS = {1, 2, 3, 4, 5, 6, 7}, “7” represents the most proficient level while “1” represents the least skilled level. Therefore, Dre

_{max}(j) is “7” and Dre

_{min}(j) is “1”. If Dre1 is “5” and Dre2 is “3,” then δ(Dre1, Dre2) = 0.67.

#### 3.4. Evolution Mode of Product Gene

## 4. Quality Diagnosis Method for Manufacturing Process

#### 4.1. Filtering Method of Product Gene Knowledge

m | Number of related gene units |

k | Index of a gene unit |

n_{k}, w_{k} | Number of elements of gene unit k, the weight of gene unit k |

p_{k}, p_{k}^{’}, w_{pk} | Index of an element in gene unit k, corresponding index in a knowledge gene unit, weight the element |

n(p_{k}) | Number of attributes of element p_{k} |

i(p_{k}), i(p_{k}^{’}) | Index of an attribute in element p_{k}, corresponding index in a knowledge gene unit |

SD(PG, KPG) | Direct similarity between target gene (PG) and reference gene (KPG) |

SD(GU(k), KGU(k)) | Direct similarity between gene unit k in PG and corresponding gene unit in KPG |

S(PG, KPG) | Synthetic similarity between PG and KPG |

S(GU(k), KGU(k)) | Synthetic similarity between gene unit k in PG and corresponding gene unit in KPG |

δ(E(p_{k}), KE(p_{k}^{’})) | Similarity between element p_{k} in PG and the corresponding element in KPG |

δ(A(i(p_{k})), KA(i(p_{k}^{’}))) | Similarity between attribute i(p_{k}) in PG and the corresponding element in KPG |

TS, TSS | Threshold of direct similarity, the threshold of synthetic similarity |

SD(GU(k)(PE), KGU(k)(PE)) | Direct similarity between the information set PE in GU(k) and corresponding information set in KGU(k) |

#### 4.1.1. Filtering Knowledge by Calculating Direct Similarity

#### 4.1.2. Filtering Knowledge by Calculating Synthetic Similarity

_{p}refers to the element p in the target gene. Therefore, a particle in PSO can be described with a set of weights [x

_{1}, x

_{2}, …, x

_{p}, …, x

_{n}] corresponding to the elements in the target gene and w

_{p}= x

_{p}. The fitness function f(x) of each particle is expressed as follows:

_{1}is the number of knowledge genes which meet the condition SD(PG(PE), KPG

_{i}(PE))>0, l

_{2}is the number of knowledge genes which meet the condition SD(PG(PE), KPG

_{j}(PE)) = 0. KPG

_{i}and KPG

_{j}represent the knowledge gene in the relevant diagnosis knowledge pool. It means that a knowledge gene should be valued if the similarity between the PEs of the knowledge gene and that of the target gene is greater than 0.

#### 4.2. Fuzzy Comprehensive Evaluation for Multi-Factor Diagnosis

_{αβ}represents the frequency of occurrence of cause β when defect α occurs in the available quality diagnosis knowledge pool. It is explained with an example, as shown in Table 3.

_{1}for FF

_{1}is 5/(5+2+3) = 0.5, the membership degree of FC

_{1}for FF

_{2}is 2/(5+2+3) = 0.2, and so on. Here, the “5” is the times of occurrences of FF

_{1,}which is related to FC

_{1}in available quality knowledge pool. “2” is the times of occurrences of FF

_{2,}which is related to FC

_{1}in available quality knowledge pool.

_{α}refers to the fuzzy factor α and y

_{β}is the fuzzy classification β. Therefore, the membership degrees of fuzzy factor α in each fuzzy classification are represented by fuzzy subset U

_{α}as shown in Equation (31).

_{αβ}represent the membership degree of FC

_{β}for FF

_{α}. These values are determined by the method of calculating membership degree mentioned above.

_{β}represents the probability of evaluation object (i.e., the defects of the target gene) to be classified as y

_{β}. The greater the value, y

_{β}is more likely the cause of defects.

_{αβ}is the membership degree of fuzzy factor α in fuzzy classification β corresponding to u

_{αβ}. It is expressed as follows:

**Calculating diagnosis result.**Based on of the FCE matrix R and defects vector DV, the comprehensive evaluation result set RV is calculated as follows:

_{β}≥1/b, the corresponding cause in Y will be identified as one of the possible causes of defects in this paper. After verification, the case of the target gene will be stored in the product gene knowledge base as new knowledge.

## 5. Case Study and Discussion

#### 5.1. Data Preparation

**Retrieving knowledge.**In information set L, the values of elements “1-4” in the three gene units are applied to retrieve knowledge from the database. If the value of an element “1-4” in a knowledge gene equals “C6” or “IC6” or “TP2”, then the knowledge gene is taken as a result of retrieval. This method can improve the retrieval range of knowledge, and get more effective reference data. The “C6” is in GU(1), the “IC6” is in GU(2), the “TP2” is in GU(3). In addition, the information set R is used to associate the complete knowledge genes. Some of the results obtained are shown in Table 4.

#### 5.2. Available Knowledge Acquisition

#### 5.2.1. Filtering Knowledge Genes with Direct Similarity

#### 5.2.2. Filtering Knowledge Genes by Calculating Synthetic Similarity

_{1}is 15, and that of l

_{2}is 4. To further identify available diagnosis knowledge, the synthetic similarity is used to filter knowledge. To calculate the values of synthetic similarity between the target gene and knowledge genes as shown in Table 7, the PSO is applied to optimize the weights of elements of the target gene.

**Optimizing weights.**In the PSO, the initial values of weights corresponding to the initial position of a particle are set as the same value in this study. The related parameters of PSO are shown in Table 8. Besides, it will be initialized when a weight value is less than 0 or a single weight is 25% greater than the sum of all weights to guarantee the rationality of distribution of weights in the process of running PSO.

#### 5.3. Experiment Results and Discussion

_{1}, rv

_{2}, rv

_{3}, rv

_{4}, rv

_{5}, rv

_{8}, rv

_{9}, rv

_{10}, and rv

_{12}meet the rule. Therefore, “om11”, “om13”, “mat”, “mt”, “pw11”, “cm1”, “cm2”, “ht1” and “tem1” are the possible causes of defects of the target gene. According to the data of the target gene as shown in Figure 5, the possible causes in the experiment of this study are analyzed as shown in Table 11.

## 6. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**The research framework of the quality defects diagnosis method based on product gene theory.

Composition of Attribute Code | Type of Value | Description |
---|---|---|

Code of element# (values set)#(metadata set) | Boolean (B) | It can be described by a binary number. |

Option (O) | There are multiple options to be chosen and only one option can be chosen. | |

Discrete (D) | A discrete value is a discontinuous value or it belongs to one of several discrete intervals. | |

Continuity (C) | A continuous value is a continuous numeric value which can be computed. | |

String (S) | A string value is described with a string which consists of one or more characters. |

Information Set | Code | Explanation |
---|---|---|

L | 1-1#23#C | The unique code of GU (1) is “23” and the type of its value is continuity. |

1-2#M5018A#S | The code of the equipment is “M5018A”, and the type of value is string. | |

1-3#1F2#S | The code of the part is “1F2” and the type of value is string. | |

1-4#C6#S | The code of the type of surface is “C6” and the type of value is string. | |

C | 2-1#(905.06, 905, -0.09, 0)#C | The actual diameter is 905.06 mm, the design diameter is 905 mm, the lower deviation is −0.09 mm, the upper deviation is 0 mm. The types of values are all continuity. |

2-2#(3.2, 1.6)#C | The actual surface roughness is Ra3.2, the design surface roughness is Ra1.6. The types of values are both continuity. | |

2-3#(0.03, 0.03)#C | The actual concentricity and design concentricity are both 0.03 mm, and the type of value is continuity. | |

2-4#(50.2, 50, -0.3, 0.3)#C | The actual width is 50.2 mm, the design width is 50 mm, the lower deviation is -0.3 mm, the upper deviation is 0.3 mm. The types of values are all continuity. | |

2-5#(42, 40)#C | The actual hardness is HRC42, the design hardness is HRC40. The types of values are both continuity. | |

P | 3-11#(5, C1)#(C, S) | The allowance of one side is 5 mm; the processing mode of rough turning is “C1”. The types of values are continuity and string, respectively. |

3-12#(2, C2)#(C, S) | The allowance of one side is 2 mm, the processing mode of semi-finish turning is “C2”. The types of values are continuity and string, respectively. | |

3-71#NA1#S | The mode of natural aging is “NA1” and the type of the value is string. | |

3-13#C3#S | The processing mode of finish turning is “C3” and the type of the value is string. | |

3-53#Q1#S | The mode of quenching is “Q1” and the type of the value is string. | |

I | 4-1#ZG270-500#S | The material is “ZG270-500” and the type of the value is string. |

4-11#(3, C6125, 12, N1)#(C, S, C, O) | The capability of worker is “3” the machine type is “C6125”, the age of machine of rough turning is 12 years. The types of values are continuity, string, continuity, and option respectively. | |

4-12#(3, C6125, 12, -)#(C, S, C, -) | The capability of the worker is “3” the machine type is “C6125”, the age of machine of semi-finish turning is 12 years. The types of values are continuity, string, and continuity, respectively. | |

4-71#(16, 75, 4.2)#C | The average temperature is 16 ℃, the humidity is 75%, the time of natural aging is 4.2 hours. The types of values are all continuity. | |

4-13#(4, C6125, 5, N1)#(C, S, C, O) | The capability of worker is “4” the machine type is “C6125” the age of the machine is 5 years, and the inspection method of finish turning is the conventional method. The types of values are continuity, string, continuity, and option, respectively. | |

4-53#(2, 3, 835)#C | The capability of the worker is “2” holding time is 3 minutes, the temperature of quenching is 835 ℃. The types of values are all continuity. | |

R | 5-1#(24bc, 25bc)#C | The unique codes of related surfaces are “24” and “25” respectively, and influence relationship and sequence relationship are included. The type of value is continuity. |

PE | 6-1#sr#O | The defect is general surface roughness error and the type of value is option. |

Quality Defects (Fuzzy Factors) | Diagnosis Conclusions (Fuzzy Classifications) | ||
---|---|---|---|

FC_{1} | FC_{2} | FC_{3} | |

FF_{1} | 5 | 2 | 3 |

FF_{2} | 1 | 3 | 4 |

FF_{3} | 2 | 1 | 2 |

Index | GU(1) | GU(2) | GU(3) |
---|---|---|---|

1 | 1-1#11#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(904.99,905,-0.09,0)#C;2-2#(3.2,1.6)#C;2-3#(0.02,0.03)#C;2-4#(50.33,50,-0.15,0.3)#C;2-5#(45,42)#C;3-11#(5,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(7,C6130,7,N2)#(C,S,C,O);4-12#(7,C6130,7,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(4,C6130,11,N2)#(C,S,C,O);4-53#(4,3.2,830)#C;5-1#(12,3)#C;6-1#(sr,de3)#O;7-1#(om13,mat,mt)#O | 1-1#12#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(905.01,905,-0.09,0)#C;2-2#(755.02,755,0,0.05)#C;2-3#(1.6,1.6)#C;2-4#(50.33,50,-0.15,0.3)#C;3-11#(4.9,C11)#(C,S);3-12#(1.8,C12)#(C,S);3-71#NA2#S;3-13#C13#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(3,C6125,11,N1)#(C,S,C,O);4-12#(3,C6125,11,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(4,C6125,7,N1)#(C,S,C,O);4-53#(4,3.2,830)#C;5-1#(11,3)#C | 1-1#3#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(755.02,755,0,0.05)#C;2-2#0.8,1.6#C;2-3#(0.02,0.03)#C;2-4#(45,42)#C;2-5#(40,42)#C;3-11#(4.8,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(5,C6130,7,N1)#(C,S,C,O);4-12#(5,C6130,7,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(6,C6150,8,N2)#(C,S,C,O);4-53#(4,3.2,830)#C;5-1#(11,12)#C;6-1#(de3, he1)#O;7-1#(mat,ht1)#O |

2 | 1-1#13#C;1-2#M5018A#S;1-3#1F2A#S;1-4#C6#S;2-1#(799.97,800,-0.05,0)#C;2-2#(3.2,1.6)#C;2-3#(0.02,0.03)#C;2-4#(65.08,65,-0.15,0.15)#C;2-5#(42,42)#C;3-11#(4.9,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(6,C6130,10,N1)#(C,S,C,O);4-12#(6,C6130,10,N2)#(C,S,C,O);4-71#(16,15,3.9)#C;4-13#(7,C6150,11,N2)#(C,S,C,O);4-53#(3,3.2,850)#C;5-1#(14,5)#C;6-1#(sr,mc1)#O;7-1#(om11,om13,cm1, tem1)#O | 1-1#14#C;1-2#M5018A#S;1-3#1F2A#S;1-4#C6#S;2-1#(800.03,800,-0.05,0)#C;2-2#(650.01,650,0,0.07)#C;2-3#(3.2,3.2)#C;2-4#(65.08,65,-0.15,0.15)#C;3-11#(5.2,C11)#(C,S);3-12#(1.8,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(2,C6130,7,N1)#(C,S,C,O);4-12#(2,C6130,7,N1)#(C,S,C,O);4-71#(16,15,3.9)#C;4-13#(4,C6150,8,N1)#(C,S,C,O);4-53#(3,3.2,850)#C;5-1#(13,5)#C | 1-1#5#C;1-2#M5018A#S;1-3#1F2A#S;1-4#C6#S;2-1#(650.01,650,0,0.07)#C;2-2#0.8,1.6#C;2-3#(0.02,0.01)#C;2-4#(45,40)#C;2-5#(40,40)#C;3-11#(4.9,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(5,C6125,8,N1)#(C,S,C,O);4-12#(5,C6125,8,N2)#(C,S,C,O);4-71#(16,15,3.9)#C;4-13#(7,C6150,3,N1)#(C,S,C,O);4-53#(3,3.2,850)#C;5-1#(13,14)#C;6-1#(mc1,ce1)#O;7-1#(pw13,tem1)#O |

3 | 1-1#15#C;1-2#M5018A#S;1-3#1F2#S;1-4#C6#S;2-1#(905.03,905,-0.056,0)#C;2-2#(3.2,3.2)#C;2-3#(0.02,0.01)#C;2-4#(65.15,65,-0.15,0.3)#C;2-5#(42,40)#C;3-11#(5.2,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(7,C6150,5,N2)#(C,S,C,O);4-12#(7,C6150,5,N2)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(4,C6150,3,N2)#(C,S,C,O);4-53#(7,3.5,840)#C;5-1#(16,6)#C;6-1#(ce1,de1)#O;7-1#(om13,pw13)#O | 1-1#16#C;1-2#M5018A#S;1-3#1F2#S;1-4#C6#S;2-1#(905.10,905,-0.056,0)#C;2-2#(755.08,755,0,0.08)#C;2-3#(0.8,3.2)#C;2-4#(65.15,65,-0.15,0.3)#C;3-11#(5,C11)#(C,S);3-12#(1.8,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(4,C6130,3,N2)#(C,S,C,O);4-12#(4,C6130,3,N1)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(4,C6150,3,N2)#(C,S,C,O);4-53#(7,3.5,840)#C;5-1#(15,6)#C | 1-1#6#C;1-2#M5018A#S;1-3#1F2#S;1-4#C6#S;2-1#(755.08,755,0,0.08)#C;2-2#3.2,3.2#C;2-3#(0.03,0.02)#C;2-4#(44,42)#C;2-5#(45,40)#C;3-11#(5.1,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(4,C6150,8,N2)#(C,S,C,O);4-12#(4,C6150,8,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(3,C6125,5,N1)#(C,S,C,O);4-53#(7,3.5,840)#C;5-1#(15,16)#C;6-1#(ce1)#O;7-1#(mt,pw13)#O |

4 | … | … | … |

Element Code | Abbreviation | Explanation |
---|---|---|

6-1 | sr | It indicates that the surface roughness is too large. |

mc1 | It indicates the existence of microcracks on the surface. | |

ce1 | It indicates that the concentricity error is too large. | |

de1 | It indicates that the diameter error is greater than the upper deviation. | |

de2 | It indicates that the diameter error is less than the lower deviation. | |

de3 | It indicates that the width error is greater than the upper deviation. | |

de4 | It indicates that the width error is less than the lower deviation. | |

bh | It indicates the existence of blowholes on the surface. | |

imp | It indicates the existence of impurities on the surface. | |

he1 | It indicates that the surface hardness is lower than its design value. | |

7-1 | om11 | It indicates that the machine of rough turning or semi-finish turning is too old. |

om13 | It indicates that the machine of finish turning is too old. | |

mat | It indicates that the material is inappropriate or unqualified | |

mt | It indicates that the error of measuring tools is too large. | |

pw11 | It indicates that the worker who carries out rough turning is not skilled enough. | |

pw13 | It indicates that the worker who carries out finish turning is not skilled enough. | |

pw53 | It indicates that the worker who carries out quenching is not skilled enough. | |

cm1 | It indicates that the structure of casting mold is unreasonable. | |

cm2 | It indicates that the casting mold has not been cleaned up. | |

ht1 | It indicates that the holding time of quenching is too short. | |

ht2 | It indicates that the holding time of quenching is too long. | |

tem1 | It means that the temperature of quenching is too high. | |

tem2 | It means that the temperature of quenching is too low. |

Index | GU(1) | GU(2) | GU(3) |
---|---|---|---|

1 | 1-1#11#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(904.99,905,-0.09,0)#C;2-2#(3.2,1.6)#C;2-3#(0.02,0.03)#C;2-4#(50.33,50,-0.15,0.3)#C;2-5#(45,42)#C;3-11#(5,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(7,C6130,7,N2)#(C,S,C,O);4-12#(7,C6130,7,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(4,C6130,11,N2)#(C,S,C,O);4-53#(4,3.2,830)#C;5-1#(12,3)#C;6-1#(sr,de3)#O;7-1#(om13,mat,mt)#O | 1-1#12#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(905.01,905,-0.09,0)#C;2-2#(755.02,755,0,0.05)#C;2-3#(1.6,1.6)#C;2-4#(50.33,50,-0.15,0.3)#C;3-11#(4.9,C11)#(C,S);3-12#(1.8,C12)#(C,S);3-71#NA2#S;3-13#C13#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(3,C6125,11,N1)#(C,S,C,O);4-12#(3,C6125,11,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(4,C6125,7,N1)#(C,S,C,O);4-53#(4,3.2,830)#C;5-1#(11,3)#C | 1-1#3#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(755.02,755,0,0.05)#C;2-2#0.8,1.6#C;2-3#(0.02,0.03)#C;2-4#(45,42)#C;2-5#(40,42)#C;3-11#(4.8,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(5,C6130,7,N1)#(C,S,C,O);4-12#(5,C6130,7,-)#(C,S,C,O);4-71#(13,35,4.2)#C;4-13#(6,C6150,8,N2)#(C,S,C,O);4-53#(4,3.2,830)#C;5-1#(11,12)#C;6-1#(de3, he1)#O;7-1#(mat,ht1)#O |

2 | 1-1#13#C;1-2#M5018A#S;1-3#1F2A#S;1-4#C6#S;2-1#(799.97,800,-0.05,0)#C;2-2#(3.2,1.6)#C;2-3#(0.02,0.03)#C;2-4#(65.08,65,-0.15,0.15)#C;2-5#(42,42)#C;3-11#(4.9,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(6,C6130,10,N1)#(C,S,C,O);4-12#(6,C6130,10,N2)#(C,S,C,O);4-71#(16,15,3.9)#C;4-13#(7,C6150,11,N2)#(C,S,C,O);4-53#(3,3.2,850)#C;5-1#(14,5)#C;6-1#(sr,mc1)#O;7-1#(om11,om13,cm1,tem1)#O | 1-1#14#C;1-2#M5018A#S;1-3#1F2A#S;1-4#C6#S;2-1#(800.03,800,-0.05,0)#C;2-2#(650.01,650,0,0.07)#C;2-3#(3.2,3.2)#C;2-4#(65.08,65,-0.15,0.15)#C;3-11#(5.2,C11)#(C,S);3-12#(1.8,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(2,C6130,7,N1)#(C,S,C,O);4-12#(2,C6130,7,N1)#(C,S,C,O);4-71#(16,15,3.9)#C;4-13#(4,C6150,8,N1)#(C,S,C,O);4-53#(3,3.2,850)#C;5-1#(13,5)#C | 1-1#5#C;1-2#M5018A#S;1-3#1F2A#S;1-4#C6#S;2-1#(650.01,650,0,0.07)#C;2-2#0.8,1.6#C;2-3#(0.02,0.01)#C;2-4#(45,40)#C;2-5#(40,40)#C;3-11#(4.9,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(5,C6125,8,N1)#(C,S,C,O);4-12#(5,C6125,8,N2)#(C,S,C,O);4-71#(16,15,3.9)#C;4-13#(7,C6150,3,N1)#(C,S,C,O);4-53#(3,3.2,850)#C;5-1#(13,14)#C;6-1#(mc1,ce1)#O;7-1#(pw13,tem1)#O |

5 | 1-1#19#C;1-2#SLC301#S;1-3#1F2R#S;1-4#C6#S;2-1#(774.99,775,-0.08,0)#C;2-2#(0.8,1.6)#C;2-3#(0.03,0.03)#C;2-4#(69.81,70,-0.15,0.15)#C;2-5#(43,40)#C;3-11#(5,C1)#(C,S);3-12#(1.8,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG230-450#S;4-11#(3,C6150,8,N1)#(C,S,C,O);4-12#(3,C6150,8,N2)#(C,S,C,O);4-71#(16,50,4.2)#C;4-13#(2,C6130,3,N1)#(C,S,C,O);4-53#(7,3.8,850)#C;5-1#(21,9)#C;6-1#(sr,mc1,de4)#O;7-1#(mt,pw11,pw13,cm1,tem1)#O | 1-1#21#C;1-2#SLC301#S;1-3#1F2R#S;1-4#C6#S;2-1#(775.02,775,-0.08,0)#C;2-2#(625.04,625,0,0.44)#C;2-3#(1.6,1.6)#C;2-4#(69.91,70,-0.15,0.15)#C;3-11#(5.2,C11)#(C,S);3-12#(2.1,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q1#S;4-1#ZG230-450#S;4-11#(3,C6130,8,N2)#(C,S,C,O);4-12#(3,C6130,8,N2)#(C,S,C,O);4-71#(16,50,4.2)#C;4-13#(6,C6130,11,N2)#(C,S,C,O);4-53#(7,3.8,850)#C;5-1#(19,9)#C;6-1#(sr,mc1)#O;7-1#(om13,mt,pw11,cm1,tem1)#O | 1-1#9#C;1-2#SLC301#S;1-3#1F2R#S;1-4#C6#S;2-1#(625.04,625,0,0.44)#C;2-2#3.2,3.2#C;2-3#(0.02,0.02)#C;2-4#(42,40)#C;2-5#(44,42)#C;3-11#(5.1,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG230-450#S;4-11#(6,C6125,10,N1)#(C,S,C,O);4-12#(6,C6125,10,N1)#(C,S,C,O);4-71#(16,50,4.2)#C;4-13#(5,C6150,10,N2)#(C,S,C,O);4-53#(7,3.8,850)#C;5-1#(19,21)#C;6-1#(sr,mc1)#O;7-1#(mt,cm1,ht2,tem1)#O |

11 | 1-1#66#C;1-2#TRMC202#S;1-3#1F2#S;1-4#C6#S;2-1#(904.99,905,-0.056,0)#C;2-2#(3.2,1.6)#C;2-3#(0.02,0.05)#C;2-4#(64.83,65,-0.15,0.3)#C;2-5#(41,40)#C;3-11#(4.8,C1)#(C,S);3-12#(2.1,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(5,C6125,7,N1)#(C,S,C,O);4-12#(5,C6125,7,N2)#(C,S,C,O);4-71#(21,75,4.2)#C;4-13#(6,C6125,8,N2)#(C,S,C,O);4-53#(7,3.2,850)#C;5-1#(62,34)#C;6-1#(sr,de4)#O;7-1#(mat,mt,cm1)#O | 1-1#62#C;1-2#TRMC202#S;1-3#1F2#S;1-4#C6#S;2-1#(905.01,905,-0.056,0)#C;2-2#(755.02,755,0,0.08)#C;2-3#(3.2,1.6)#C;2-4#(65.13,65,-0.15,0.3)#C;3-11#(5.2,C11)#(C,S);3-12#(2.2,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(5,C6150,7,N2)#(C,S,C,O);4-12#(5,C6150,7,-)#(C,S,C,O);4-71#(21,75,4.2)#C;4-13#(6,C6125,11,N1)#(C,S,C,O);4-53#(7,3.2,850)#C;5-1#(66,34)#C;6-1#(sr)#O;7-1#(om13)#O | 1-1#34#C;1-2#TRMC202#S;1-3#1F2#S;1-4#C6#S;2-1#(755.02,755,0,0.08)#C;2-2#3.2,1.6#C;2-3#(0.03,0.03)#C;2-4#(44,42)#C;2-5#(42,42)#C;3-11#(5,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(6,C6125,7,N1)#(C,S,C,O);4-12#(6,C6125,7,N2)#(C,S,C,O);4-71#(21,75,4.2)#C;4-13#(5,C6150,3,N1)#(C,S,C,O);4-53#(7,3.2,850)#C;5-1#(66,62)#C;6-1#(sr)#O;7-1#(mt)#O |

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25 | 1-1#106#C;1-2#M5018R#S;1-3#1F2#S;1-4#C6#S;2-1#(904.99,905,-0.09,0)#C;2-2#(0.8,1.6)#C;2-3#(0.02,0.05)#C;2-4#(50.20,50,-0.15,0.15)#C;2-5#(40,40)#C;3-11#(4.8,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(6,C6125,5,N1)#(C,S,C,O);4-12#(6,C6125,5,N1)#(C,S,C,O);4-71#(21,50,3.9)#C;4-13#(2,C6125,11,N2)#(C,S,C,O);4-53#(5,3,850)#C;5-1#(107,72)#C;6-1#(de3,bh)#O;7-1#(om13,pw13,tem1)#O | 1-1#107#C;1-2#M5018R#S;1-3#1F2#S;1-4#C6#S;2-1#(905.01,905,-0.09,0)#C;2-2#(755.02,755,0,0.05)#C;2-3#(1.6,3.2)#C;2-4#(50.20,50,-0.15,0.15)#C;3-11#(4.9,C11)#(C,S);3-12#(2.2,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(5,C6150,10,N1)#(C,S,C,O);4-12#(5,C6150,10,-)#(C,S,C,O);4-71#(21,50,3.9)#C;4-13#(4,C6150,11,N1)#(C,S,C,O);4-53#(5,3,850)#C;5-1#(106,72)#C;6-1#(bh,he1)#O;7-1#(om11,om13,tem1)#O | 1-1#72#C;1-2#M5018R#S;1-3#1F2#S;1-4#C6#S;2-1#(755.02,755,0,0.05)#C;2-2#3.2,1.6#C;2-3#(0.02,0.05)#C;2-4#(40,42)#C;2-5#(45,42)#C;3-11#(5.1,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG230-450#S;4-11#(2,C6150,10,N1)#(C,S,C,O);4-12#(2,C6150,10,-)#(C,S,C,O);4-71#(21,50,3.9)#C;4-13#(6,C6130,10,N1)#(C,S,C,O);4-53#(5,3,850)#C;5-1#(106,107)#C;6-1#(sr,de3,bh)#O;7-1#(om11,om13,pw11,tem1)#O |

26 | 1-1#109#C;1-2#M5018R#S;1-3#1F2R#S;1-4#C6#S;2-1#(774.98,775,-0.08,0)#C;2-2#(1.6,3.2)#C;2-3#(0.02,0.05)#C;2-4#(50.10,50,-0.3,0.15)#C;2-5#(44,42)#C;3-11#(5,C1)#(C,S);3-12#(1.9,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(7,C6130,8,N2)#(C,S,C,O);4-12#(7,C6130,8,N2)#(C,S,C,O);4-71#(13,75,5.5)#C;4-13#(7,C6150,5,N2)#(C,S,C,O);4-53#(7,3.8,840)#C;5-1#(108,75)#C | 1-1#108#C;1-2#M5018R#S;1-3#1F2R#S;1-4#C6#S;2-1#(775.02,775,-0.08,0)#C;2-2#(625.04,625,0,0.44)#C;2-3#(0.8,3.2)#C;2-4#(50.10,50,-0.3,0.15)#C;3-11#(5.1,C11)#(C,S);3-12#(2.2,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(7,C6130,8,N1)#(C,S,C,O);4-12#(7,C6130,8,N2)#(C,S,C,O);4-71#(13,75,5.5)#C;4-13#(6,C6125,5,N2)#(C,S,C,O);4-53#(7,3.8,840)#C;5-1#(109,75)#C | 1-1#75#C;1-2#M5018R#S;1-3#1F2R#S;1-4#C6#S;2-1#(625.04,625,0,0.44)#C;2-2#1.6,1.6#C;2-3#(0.02,0.02)#C;2-4#(42,42)#C;2-5#(40,42)#C;3-11#(4.9,C1)#(C,S);3-12#(1.9,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(2,C6125,11,N2)#(C,S,C,O);4-12#(2,C6125,11,-)#(C,S,C,O);4-71#(13,75,5.5)#C;4-13#(6,C6130,10,N1)#(C,S,C,O);4-53#(7,3.8,840)#C;5-1#(109,108)#C;6-1#(he1)#O;7-1#(mat)#O |

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33 | 1-1#125#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(904.94,905,-0.09,0)#C;2-2#(3.2,3.2)#C;2-3#(0.02,0.03)#C;2-4#(70.08,70,-0.3,0.15)#C;2-5#(40,42)#C;3-11#(5,C1)#(C,S);3-12#(1.8,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q1#S;4-1#ZG230-450#S;4-11#(4,C6125,7,N2)#(C,S,C,O);4-12#(4,C6125,7,N1)#(C,S,C,O);4-71#(32,50,5.5)#C;4-13#(4,C6130,7,N1)#(C,S,C,O);4-53#(2,3,835)#C;5-1#(124,105)#C;6-1#(imp,he1)#O;7-1#(mat,cm1,cm2,ht1)#O | 1-1#124#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(905.06,905,-0.09,0)#C;2-2#(755.05,755,0,0.05)#C;2-3#(1.6,3.2)#C;2-4#(70.08,70,-0.3,0.15)#C;3-11#(5,C11)#(C,S);3-12#(2.1,C12)#(C,S);3-71#NA2#S;3-13#C13#S;3-53#Q1#S;4-1#ZG230-450#S;4-11#(5,C6130,3,N2)#(C,S,C,O);4-12#(5,C6130,3,-)#(C,S,C,O);4-71#(32,50,5.5)#C;4-13#(2,C6130,11,N1)#(C,S,C,O);4-53#(2,3,835)#C;5-1#(125,105)#C;6-1#(imp)#O;7-1#(mat,cm1,cm2)#O | 1-1#105#C;1-2#M5018B#S;1-3#1F2#S;1-4#C6#S;2-1#(755.05,755,0,0.05)#C;2-2#1.6,3.2#C;2-3#(0.03,0.03)#C;2-4#(44,42)#C;2-5#(43,42)#C;3-11#(4.9,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q1#S;4-1#ZG230-450#S;4-11#(4,C6125,8,N1)#(C,S,C,O);4-12#(4,C6125,8,N1)#(C,S,C,O);4-71#(32,50,5.5)#C;4-13#(2,C6150,11,N2)#(C,S,C,O);4-53#(2,3,835)#C;5-1#(125,124)#C;6-1#(imp)#O;7-1#(mat,cm1,cm2)#O |

35 | 1-1#128#C;1-2#M5018A#S;1-3#1F2R#S;1-4#C6#S;2-1#(774.98,775,-0.08,0)#C;2-2#(3.2,1.6)#C;2-3#(0.02,0.01)#C;2-4#(64.94,65,-0.15,0.15)#C;2-5#(40,42)#C;3-11#(4.9,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG270-500#S;4-11#(7,C6150,8,N1)#(C,S,C,O);4-12#(7,C6150,8,-)#(C,S,C,O);4-71#(21,75,4.2)#C;4-13#(3,C6125,5,N1)#(C,S,C,O);4-53#(2,3,830)#C;5-1#(129,121)#C;6-1#(sr,ce1,bh,he1)#O;7-1#(pw13,pw53,ht1,tem2)#O | 1-1#129#C;1-2#M5018A#S;1-3#1F2R#S;1-4#C6#S;2-1#(775.02,775,-0.08,0)#C;2-2#(625.04,625,0,0.44)#C;2-3#(1.6,1.6)#C;2-4#(64.94,65,-0.15,0.15)#C;3-11#(5,C11)#(C,S);3-12#(2.2,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q2#S;4-1#ZG270-500#S;4-11#(4,C6130,5,N2)#(C,S,C,O);4-12#(4,C6130,5,-)#(C,S,C,O);4-71#(21,75,4.2)#C;4-13#(5,C6130,8,N1)#(C,S,C,O);4-53#(2,3,830)#C;5-1#(128,121)#C;6-1#(he1)#O;7-1#(pw53,ht1,tem2)#O | 1-1#121#C;1-2#M5018A#S;1-3#1F2R#S;1-4#C6#S;2-1#(625.04,625,0,0.44)#C;2-2#3.2,3.2#C;2-3#(0.02,0.03)#C;2-4#(41,42)#C;2-5#(40,42)#C;3-11#(5.1,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q2#S;4-1#ZG270-500#S;4-11#(3,C6150,8,N1)#(C,S,C,O);4-12#(3,C6150,8,-)#(C,S,C,O);4-71#(21,75,4.2)#C;4-13#(7,C6125,7,N1)#(C,S,C,O);4-53#(2,3,830)#C;5-1#(128,129)#C;6-1#(bh,he1)#O;7-1#(pw53,cm1,ht1,tem2)#O |

36 | 1-1#133#C;1-2#TRM113#S;1-3#1F2A#S;1-4#C6#S;2-1#(799.98,800,-0.05,0)#C;2-2#(3.2,3.2)#C;2-3#(0.02,0.02)#C;2-4#(49.82,50,-0.3,0.15)#C;2-5#(43,40)#C;3-11#(4.8,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(6,C6125,5,N1)#(C,S,C,O);4-12#(6,C6125,5,N1)#(C,S,C,O);4-71#(26,75,4.2)#C;4-13#(6,C6130,5,N2)#(C,S,C,O);4-53#(4,3.2,835)#C;5-1#(130,131)#C | 1-1#130#C;1-2#TRM113#S;1-3#1F2A#S;1-4#C6#S;2-1#(800.02,800,-0.05,0)#C;2-2#(650.03,650,0,0.07)#C;2-3#(0.8,1.6)#C;2-4#(49.82,50,-0.3,0.15)#C;3-11#(4.8,C11)#(C,S);3-12#(1.8,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(5,C6130,5,N2)#(C,S,C,O);4-12#(5,C6130,5,N2)#(C,S,C,O);4-71#(26,75,4.2)#C;4-13#(4,C6125,5,N1)#(C,S,C,O);4-53#(4,3.2,835)#C;5-1#(133,131)#C | 1-1#131#C;1-2#TRM113#S;1-3#1F2A#S;1-4#C6#S;2-1#(650.03,650,0,0.07)#C;2-2#1.6,1.6#C;2-3#(0.03,0.02)#C;2-4#(45,42)#C;2-5#(44,40)#C;3-11#(4.9,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(3,C6130,8,N1)#(C,S,C,O);4-12#(3,C6130,8,-)#(C,S,C,O);4-71#(26,75,4.2)#C;4-13#(5,C6125,11,N1)#(C,S,C,O);4-53#(4,3.2,835)#C;5-1#(133,130)#C;6-1#(ce1)#O;7-1#(om13,pw11)#O |

37 | 1-1#138#C;1-2#M5018A#S;1-3#2FR#S;1-4#C6#S;2-1#(699.97,700,-0.05,0)#C;2-2#(0.8,3.2)#C;2-3#(0.03,0.03)#C;2-4#(70.05,70,-0.15,0.3)#C;2-5#(45,40)#C;3-11#(4.8,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(2,C6150,10,N1)#(C,S,C,O);4-12#(2,C6150,10,N2)#(C,S,C,O);4-71#(21,15,5.5)#C;4-13#(5,C6130,8,N2)#(C,S,C,O);4-53#(5,3,840)#C;5-1#(139,132)#C | 1-1#139#C;1-2#M5018A#S;1-3#2FR#S;1-4#C6#S;2-1#(700.03,700,-0.05,0)#C;2-2#(550.01,550,0,0.07)#C;2-3#(3.2,3.2)#C;2-4#(70.05,70,-0.15,0.3)#C;3-11#(5,C11)#(C,S);3-12#(2.1,C12)#(C,S);3-71#NA2#S;3-13#C13#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(7,C6150,5,N1)#(C,S,C,O);4-12#(7,C6150,5,N1)#(C,S,C,O);4-71#(21,15,5.5)#C;4-13#(2,C6125,5,N1)#(C,S,C,O);4-53#(5,3,840)#C;5-1#(138,132)#C | 1-1#132#C;1-2#M5018A#S;1-3#2FR#S;1-4#C6#S;2-1#(550.01,550,0,0.07)#C;2-2#3.2,1.6#C;2-3#(0.02,0.03)#C;2-4#(42,42)#C;2-5#(40,42)#C;3-11#(4.9,C1)#(C,S);3-12#(1.9,C2)#(C,S);3-71#NA2#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(7,C6150,7,N1)#(C,S,C,O);4-12#(7,C6150,7,N1)#(C,S,C,O);4-71#(21,15,5.5)#C;4-13#(7,C6150,5,N1)#(C,S,C,O);4-53#(5,3,840)#C;5-1#(138,139)#C;6-1#(sr,he1)#O;7-1#(mat,mt,ht1)#O |

38 | 1-1#140#C;1-2#M5018R#S;1-3#1F2A#S;1-4#C6#S;2-1#(800.01,800,-0.05,0)#C;2-2#(0.8,3.2)#C;2-3#(0.03,0.02)#C;2-4#(50.06,50,-0.15,0.15)#C;2-5#(43,42)#C;3-11#(5,C1)#(C,S);3-12#(2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(4,C6125,8,N2)#(C,S,C,O);4-12#(4,C6125,8,-)#(C,S,C,O);4-71#(26,50,5.5)#C;4-13#(6,C6150,5,N1)#(C,S,C,O);4-53#(2,3.5,840)#C;5-1#(141,135)#C;6-1#(mc1,ce1,de1)#O;7-1#(mat,mt,pw53,cm1)#O | 1-1#141#C;1-2#M5018R#S;1-3#1F2A#S;1-4#C6#S;2-1#(800.03,800,-0.05,0)#C;2-2#(650.01,650,0,0.07)#C;2-3#(1.6,1.6)#C;2-4#(50.06,50,-0.15,0.15)#C;3-11#(5,C11)#(C,S);3-12#(2.1,C12)#(C,S);3-71#NA1#S;3-13#C13#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(4,C6130,10,N1)#(C,S,C,O);4-12#(4,C6130,10,N2)#(C,S,C,O);4-71#(26,50,5.5)#C;4-13#(4,C6130,8,N2)#(C,S,C,O);4-53#(2,3.5,840)#C;5-1#(140,135)#C;6-1#(mc1,he1)#O;7-1#(mat,pw53,cm1)#O | 1-1#135#C;1-2#M5018R#S;1-3#1F2A#S;1-4#C6#S;2-1#(650.01,650,0,0.07)#C;2-2#0.8,1.6#C;2-3#(0.03,0.02)#C;2-4#(41,42)#C;2-5#(41,42)#C;3-11#(5.2,C1)#(C,S);3-12#(2.2,C2)#(C,S);3-71#NA1#S;3-13#C3#S;3-53#Q1#S;4-1#ZG270-500#S;4-11#(4,C6130,11,N2)#(C,S,C,O);4-12#(4,C6130,11,N2)#(C,S,C,O);4-71#(26,50,5.5)#C;4-13#(7,C6125,3,N2)#(C,S,C,O);4-53#(2,3.5,840)#C;5-1#(140,141)#C;6-1#(mc1,ce1,he1)#O;7-1#(mat,mt,pw53,cm1)#O |

Index | 1 | 2 | 5 | 11 | 14 | 15 | 16 | 17 | 19 | 21 |

SD(PG, KPG) | 0.71 | 0.73 | 0.70 | 0.72 | 0.74 | 0.71 | 0.72 | 0.72 | 0.73 | 0.72 |

SD(PG(PE), KPG(PE)) | 0.50 | 0.50 | 1.83 | 1.50 | 1.33 | 0.33 | 0.33 | 0.50 | 1.25 | 0.00 |

Index | 25 | 26 | 27 | 32 | 33 | 35 | 36 | 37 | 38 | |

SD(PG, KPG) | 0.71 | 0.71 | 0.70 | 0.73 | 0.72 | 0.73 | 0.71 | 0.70 | 0.74 | |

SD(PG(PE), KPG(PE)) | 0.33 | 0.00 | 1.00 | 0.50 | 0.00 | 0.25 | 0.00 | 0.50 | 0.67 |

Number of Dimensions | Population Size | Number of Iterations | Self-Confidence | Swarm Confidence | Inertia Weight |
---|---|---|---|---|---|

59 | 200 | 200 | C_{1} = 0.01 | C_{2} = 0.9 | ω_{min} = 0.01ω _{max} = 0.5 |

**Table 9.**Synthetic similarities between the target gene and related knowledge genes (data with bold fonts are the indexes and synthetic similarities of available knowledge genes.).

Index | 1 | 2 | 5 | 11 | 14 | 15 | 16 | 17 | 19 | 21 |

S(PG, KPG) | 0.79 | 0.84 | 0.79 | 0.79 | 0.82 | 0.79 | 0.82 | 0.80 | 0.80 | 0.82 |

Index | 25 | 26 | 27 | 32 | 33 | 35 | 36 | 37 | 38 | |

S(PG, KPG) | 0.81 | 0.80 | 0.80 | 0.82 | 0.82 | 0.82 | 0.83 | 0.80 | 0.82 |

Quality Defects | Causes | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

om11 | om13 | mat | mt | pw11 | pw13 | pw53 | cm1 | cm2 | ht1 | ht2 | tem1 | tem2 | |

sr | 4 | 3 | 2 | 5 | 4 | 2 | 1 | 2 | 4 | 4 | 0 | 3 | 1 |

mc1 | 1 | 3 | 7 | 3 | 1 | 1 | 3 | 10 | 0 | 0 | 0 | 2 | 0 |

ce1 | 0 | 2 | 3 | 3 | 2 | 3 | 3 | 3 | 0 | 1 | 0 | 1 | 1 |

de1 | 0 | 0 | 1 | 2 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 |

de2 | 0 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |

de3 | 1 | 2 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 0 |

de4 | 2 | 1 | 1 | 2 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |

bh | 2 | 3 | 0 | 0 | 2 | 3 | 2 | 1 | 2 | 2 | 0 | 3 | 2 |

imp | 1 | 1 | 3 | 1 | 2 | 1 | 0 | 3 | 9 | 3 | 0 | 0 | 0 |

he1 | 1 | 1 | 5 | 3 | 0 | 1 | 5 | 4 | 2 | 6 | 0 | 2 | 3 |

Cause | Analysis and Conclusion |
---|---|

om11 | The ages of machines of rough turning (or semi-finish turning) in GU(1) is 12 years, GU(2) is 7 years, and GU(3) is 8 years. Generally, the processing capacity of a machine older than 10 years will be greatly affected in building material equipment enterprise. Therefore, the “om11” is one of the causes of “sr” in GU(1). |

om13 | The ages of machines of finish turning in GU(1) is 5 years, GU(2) is 8 years, and GU(3) is 3 years. Therefore, the “om13” should be excluded. |

mat, mt | These two causes can be verified by inspecting the quality of material and measuring tools. In this experiment, the material is qualified, while some of measuring tools are unqualified. Therefore, the “mat” should be excluded and the ‘mt’ should be one of the causes of defects. |

pw11 | The capabilities of workers of rough turning (or semi-finish turning) in GU(1), GU(2) and GU(3) are 3, 4, 5, where 4 is the median. Therefore, the “pw11” is also one of the causes of “sr” in GU(1). |

cm1 | The structure of the casting mold is found to be unreasonable. Therefore, the “cm1” is one of the causes of defects. |

cm2 | No impurities are found on the part, therefore, the “cm2” should be excluded. |

ht1 | Generally, the holding time of quenching of the part should be about 3.5 minutes. Therefore, the “ht1” should be one of the causes of defects. |

tem1 | The temperature of quenching is reasonable, therefore, the “tem1” should be excluded. |

© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

## Share and Cite

**MDPI and ACS Style**

Xu, W.; Guo, C.; Guo, S.; Li, X.
A Novel Quality Defects Diagnosis Method for the Manufacturing Process of Large Equipment Based on Product Gene Theory. *Symmetry* **2019**, *11*, 685.
https://doi.org/10.3390/sym11050685

**AMA Style**

Xu W, Guo C, Guo S, Li X.
A Novel Quality Defects Diagnosis Method for the Manufacturing Process of Large Equipment Based on Product Gene Theory. *Symmetry*. 2019; 11(5):685.
https://doi.org/10.3390/sym11050685

**Chicago/Turabian Style**

Xu, Wenxiang, Chen Guo, Shunsheng Guo, and Xixing Li.
2019. "A Novel Quality Defects Diagnosis Method for the Manufacturing Process of Large Equipment Based on Product Gene Theory" *Symmetry* 11, no. 5: 685.
https://doi.org/10.3390/sym11050685