Abstract

In view of the fact that the target values of some quality characteristics are grey, the grey quality gain-loss function model was applied in the analysis of the quality characteristics. At the same time, based on the analysis of engineering specifications and process capability, an optimization model of engineering specifications was proposed to minimize the expected total loss of each product and maximize the expected compensation with inspection costs, scrap costs and grey quality gain-loss into consideration. The optimal engineering specification can be obtained by using the optimization model. Through the example analysis and its application in dam concrete construction, the practicability of the model is verified, which provides an important reference for the research of the new theory of dam concrete construction quality control.

Highlights

  • According to Shewhart, one of the most important tasks in quality control is to understand and evaluate the needs and expectations of customers, and to provide products and services that meet or exceed those needs and expectations [1]

  • Intuition and judgment play an important role in determining the target value of some quality characteristics, and some factors related to personal needs have an effect

  • For this kind of quality characteristics, determination of the target value has a certain degree of greyness, the grey quality gain-loss function model was established

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Summary

Introduction

According to Shewhart, one of the most important tasks in quality control is to understand and evaluate the needs and expectations of customers, and to provide products and services that meet or exceed those needs and expectations [1]. Considering the compensation effect of quality characteristics in dam concrete construction, the tolerance optimization model of dam concrete construction quality is constructed, and the optimal tolerance adjustment rate of the characteristic per unit quality in each stage of the dam concrete construction is studied, so as to improve the overall construction quality to the greatest extent [12,13,14] On this basis, an inverted normal quality gain-loss function based on functional characteristics of the inverted normal function is proposed, aiming at the issue that the existing quality gain-loss function cannot describe the unbounded problem in engineering practice, and the multivariate quality gain-loss function and quality gain-loss function with larger-thebetter, smaller-the-better characteristics are designed. Fuzziness of quality characteristics was analyzed, the fuzzy quality gain-loss function model was constructed and the optimal process mean for the asymmetric fuzzy quality gain-loss function was designed [15,16]

Grey Quality Gain-Loss Function
Constant Compensation
Hyperbolic Tangent Compensation
Process Capability
Process Capability Index
Improvement of Process Capability
Shortcomings of Traditional Formulation Method of Engineering Specifications
Optimal Engineering Specifications under Grey Quality Loss
Optimal Engineering Specifications under Grey Quality Compensation
Example Calculation
Relationship between average expected l and optimal solution
Findings
Conclusions
Full Text
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