Application Of Grey System Theory Research Articles

Single machine scheduling with interval grey processing time

PurposeThis paper aims to investigate the grey scheduling, which is the combination of grey system theory and scheduling problems with uncertain processing time. Based on the interval grey number and its related definitions, properties, and theorems, the single machine scheduling with uncertain processing time and its general forms are studied as the research object. Then several single machine scheduling models are reconstructed, and an actual production case is developed to illustrate the rationality of the research.Design/methodology/approachIn this paper, the authors first summarize the definitions and properties related to interval grey numbers, especially the transitivity of the partial order of interval grey numbers, and give an example to illustrate that the transitivity has a positive effect on the computational time complexity of multiple interval grey number comparisons. Second, the authors redefine the general form of the single machine scheduling problem with uncertain processing time according to the definitions and theorems of interval grey numbers. The authors then reconstruct three single machine scheduling models with uncertain processing time, give the corresponding heuristic algorithms based on the interval grey numbers and prove them. Finally, the authors develop a case study based on the engine test shop of K Company, the results show that the proposed single machine scheduling models and algorithms with uncertain processing time can provide effective guidance for actual production in an uncertain environment.FindingsThe main findings of this paper are as follows: (1) summarize the definitions and theorems related to interval grey numbers and prove the transitivity of the partial order of interval grey numbers; (2) define the general form of the single machine scheduling problem with interval grey processing time; (3) reconstruct three single machine scheduling models with uncertain processing time and give the corresponding heuristic algorithms; (4) develop a case study to illustrate the rationality of the research.Research limitations/implicationsIn the further research, the authors will continue to summarize more advanced general forms of grey scheduling, improve the theory of grey scheduling and prove it, and further explore the application of grey scheduling in the real world. In general, grey scheduling needs to be further combined with grey system theory to form a complete theoretical system.Originality/valueIt is a fundamental work to define the general form of single machine scheduling with uncertain processing time used the interval grey number. However, it can be seen as an important theoretical basis for the grey scheduling, and it is also beneficial to expand the application of grey system theory in real world.

Construction and Analysis of Computer Model in Sports Education Effect Evaluation Based on Grey System Theory

College physical education is the most common course type in college students’ education. It undertakes the important responsibility of improving students’ physical quality. In order to make effective use of teaching curriculum, the evaluation of curriculum reform is the key of research. Based on this, this paper puts forward the evaluation of physical education teaching effect based on grey system theory. This paper expounds the research progress of teaching effect evaluation and then analyzes the grey system theory. In the evaluation, the key of AHP is to control the traditional fuzzy analysis method, which can be optimized by using fuzzy analysis method. At the same time, the grey system theory is used for comprehensive analysis to establish sports teaching scoring index effect. Through the analysis of physical education teaching examples, the effectiveness of grey system theory in evaluating teaching is confirmed. The application of grey system theory in teaching effect evaluation is more intuitive, which can make full use of the existing whitening information and reduce human errors. In addition, it can comprehensively consider the impact of each sample data on the final result to the greatest extent, which is closer to the actual evaluation result than the theoretical fuzzy evaluation.

Research on Construction Cost Estimation based on Artificial Intelligence Technology

For the prediction of economic expenses involved in construction industry, cost estimation has become an important aspect of construction management for the prediction of economic expenses and successful completion of the construction work. Cost analysis is crucial and require expertise for accurate and comprehensive estimation. In order to effectively improve the accuracy of construction project cost, this paper establishes an estimation model based on gray BP neural network. It combines the MATLAB toolbox for program design, and learns and tests the input and output of training samples. This article determines the application of grey system theory to optimize the estimation model of Back Propagation (BP) neural network. The viability of the method established in this article, is tested by collecting the engineering cost data in Zhengzhou city and comparing between the standard BP neural network and the gray BP neural network methods. The results show that the average error of the gray system theory optimized BP neural network model designed in this paper is 2.33%. The gray BP neural network model studied in this paper can not only quickly estimate the project cost, but also has high accuracy rate. The outcomes obtained establishes a model with scientific and reasonable construction project cost estimation.

The most livable city selection in Turkey with the grey relational analysis

PurposeThis study has two main objectives: (1) to expand the application areas of grey system theory and (2) to select the most livable city in Turkey.Design/methodology/approachChoosing the most livable city is a complex problem that requires many criteria to be considered. It is important to select decision points according to which the criteria selection will be made and to what extent the criteria will affect the evaluation. For this purpose, a questionnaire was prepared to determine the criteria to be used in the assessment. The survey results were evaluated by the factor analysis (FA) and it was found that the criteria included in the survey were grouped under seven factors. Then, criteria weights were assigned to the determined criteria using the analytic hierarchy process (AHP). At the last stage, Turkey's six most popular cities are graded using the grey relational analysis (GRA) to reduce the uncertainty existing in the process of evaluation.FindingsThe obtained results indicated that the most livable city in Turkey is Istanbul. Istanbul is followed by Izmir, Antalya, Eskisehir, Bursa and Ankara, respectively. Considering that Istanbul is a center of attraction in many respects, this result is not a surprise for many people. It is also observed that the results obtained overlap with similar studies in the literature.Originality/valueGrey system theory and grey numbers have not been previously used to select the most livable city. With this aspect, this study has expanded the application of grey system theory and made an important contribution to the literature.

Application of grey system theory to phosphorite sinter process: From modeling to control

AbstractThe sintering process of phosphorite ore occurs with a large amount of return caused by untimely process control. The control task of phosphorite ore sintering is to regulate the parameters of the process to obtain a high quality sinter. The parameter clearly responsible for sinter quality is the temperature in the wind box. Therefore, in order to solve the control task, it is necessary to predict the highest temperature of the charge (also known as the burn through point (BTP)). In this paper, the theory of grey systems is used as a predictive model, which makes it possible to obtain an adequate model that uses a small number of initial samples of real temperature data. Based on the grey model GMC(1,n) a new optimal model is presented, which is constructed by using optimization algorithm. Optimal model predicts the BTP, and to establish an optimal regulation, a control synthesis is carried out through an optimization of the prediction according to the “particle swarm” algorithm.

Application of grey system theory in prediction of accident prone sea area

The GM (1,1) model is established by using the grey system theory,Realizes the goal that the accidents in the multi accident sea area can be accurately predicted by the prediction model. The key point is to establish the model correctly and apply it to the prediction of accident prone sea area. Looking up the sea area with the characteristic of frequent accidents, building the model, and testing the result of substituting the data into the model prediction, the result shows that the viewpoint of this paper is correct and can predict the maritime traffic accidents with high accuracy.

Application of grey system theory and ARIMA model to forecast factors of tourism: A case of Binh Thuan Province in Vietnam

Application of grey system theory and ARIMA model to forecast factors of tourism: A case of Binh Thuan Province in Vietnam

Application of Grey System Theory and Entropy Weight Method in Basketball League Matches

The basketball league issue has always been a concern, and the predictions for each team's next game have also attracted the attention of the audience. Now more and more fans have begun to predict the future of the favorite team. By analyzing the score data of some teams in the past, this paper obtains the appropriate prediction function by constructing the grey system theory model, and then predicts the future performance of the team. At the same time, using the idea of entropy weight method, through the measurement of the weight of each team in a basketball game, and using the idea of combining numbers and figures, the level of each team is qualitatively analyzed through the weight map.

Application of Grey System Theory to Assessment of Computational Thinking Skills

Computational thinking is a kind of analytic thinking that synthesizes critical thinking and existing knowledge and applies them for solving complex real life and technological problems, designing systems, and understanding human behaviour, by drawing on fundamental principles of computer science. This involves frequently a degree of uncertainty and (or) the use of approximate data. On the other hand, a grey system is characterized by lack of adequate information about its components and (or) its function and the corresponding theory has found nowadays many applications to real life, science and engineering. In grey system theory the main tool for handling approximate data is the use of the grey numbers, which are indeterminate numbers defined with the help of the closed real intervals. In the present work grey numbers are used for evaluating computational thinking skills and examples are presented to illustrate our results. The outcomes of this new assessment method are compared to the corresponding outcomes of the classical method of calculating the GPA index and of a similar method developed in earlier works that uses as tools triangular fuzzy numbers instead of grey numbers.

The Application of Grey System Theory on the Corrosion Behavior of Steel in Seawater

The information of seawater corrosion system is incomplete, unclear, and corrosion data’s distances are unequal. The influence degree of each marine environmental factor on carbon steel corrosion rate is analyzed based on Grey System theory, the GM (1, 1) corrosion model is established which reflects corrosion thickness range with time. The result shows that the main environmental factors which affect the corrosion rate of carbon steels in seawater are the temperature of seawater, sea organism attachment level and salinity of seawater. This study can provide a reference of steel structures’ corrosion prediction exposed to marine environment.

An Application of Grey System Theory and DEA in Strategic Alliance in Vietnamese Agricultural Industry

Collaboration is at the heart of every business success [1]. Indeed, every aspect of a business is dependent on a partnership one way or another. However, successful partnerships require a lot of factors and efforts from both sides in order to assure the necessary cooperation needed to harness the respective potency of each partner ([2]; [3]; [4]). Therefore, this study aims to develop tools which are Grey Theory and DEA models generate the effectiveness of enterprises in Vietnamese agricultural industry then offer an effective way to figure out the most suitable strategic partners. The most influenced enterprises are selected to collect realistic data from financial reports of Vietnam issued stock market in four consecutive financial years. The targeted decision making unit (DMU) has some potential partner for collaboration in the future, but they are also advised to stay away with some DMUs, which may make them even weaker after doing alliance. Although this research is specifically applied to the fertilizer industry, the proposed method could also be applied to other manufacturing industries.

Research on application of grey system theory in construction monitoring of continuous rigid frame bridge

Research on application of grey system theory in construction monitoring of continuous rigid frame bridge

Study of a discrete grey forecasting model based on the quality cost characteristic curve

PurposeThe purpose of this paper is to clarify several commonly used quality cost models based on Juran’s characteristic curve. Through mathematical deduction, the lowest point of quality cost and the lowest level of quality level (often depicted by qualification rate) can be obtained. This paper also aims to introduce a new prediction model, namely discrete grey model (DGM), to forecast the changing trend of quality cost.Design/methodology/approachThis paper comes to the conclusion by means of mathematical deduction. To make it more clear, the authors get the lowest quality level and the lowest quality cost by taking the derivative of the equation of quality cost and quality level. By introducing the weakening buffer operator, the authors can significantly improve the prediction accuracy of DGM.FindingsThis paper demonstrates that DGM can be used to forecast quality cost based on Juran’s cost characteristic curve, especially when the authors do not have much information or the sample capacity is rather small. When operated by practical weakening buffer operator, the randomness of time series can be obviously weakened and the prediction accuracy can be significantly improved.Practical implicationsThis paper uses a real case from a literature to verify the validity of discrete grey forecasting model, getting the conclusion that there is a certain degree of feasibility and rationality of DGM to forecast the variation tendency of quality cost.Originality/valueThis paper perfects the theory of quality cost based on Juran’s characteristic curve and expands the scope of application of grey system theory.

Performance Evaluation Study on Human Resource Management of Food Enterprise Based on Grey System Theory

Performance evaluation of human resources management level is significant for improving the level of food enterprise and therefore the application of grey system theory on it should be studied in depth. Firstly, the difficulties of performance evaluation of human management level of food enterprise are discussed. Secondly, the basic theory of grey system theory is studied in depth, the corresponding mathematical model are analyzed in depth. Thirdly the performance evaluation index system of human management level of food enterprise is constructed and a food enterprise is used as example, the corresponding evaluation is carried out, results show that the grey system theory is an effective tool for evaluating the human resource management level for food enterprise.

Application of Grey System Theory in the Enterprise Supply Chain Collaboration Strategy

Application of Grey System Theory in the Enterprise Supply Chain Collaboration Strategy

Application of Grey System Theory in the Dynamic Monitoring of Bridge

It has great significance to ensure the safety of bridge structure by using information technology to monitor the bridge dynamic deformation and find out problems in time, besides, it is more effective to make analysis of the bridge by using grey theory model. The combination of the two methods could avoid the observation error, and play an active role in improving the safety and reliability of bridge.

Research on the application of grey system theory in the pattern recognition for chromatographic fingerprints of traditional Chinese medicine

A model based on grey system theory was proposed for pattern recognition in chromatographic fingerprints (CF) of traditional Chinese medicine (TCM). The grey relational grade among the data series of each testing CF and the ideal CF was obtained by entropy and norm respectively, then the principle of "maximal matching degree" was introduced to make judgments, so as to achieve the purpose of variety identification and quality evaluation. A satisfactory result in the high performance liquid chromatographic (HPLC) analysis of 56 batches of different varieties of Exocarpium Citrus Grandis was achieved with this model. The errors in the chromatographic fingerprint analysis caused by traditional similarity method or grey correlation method were overcome, as the samples of Citrus grandis 'Tomentosa' and Citrus grandis (L.) Osbeck were correctly distinguished in the experiment. Furthermore in the study on the variety identification of Citrus grandis 'Tomentosa', the recognition rates were up to 92.85%, although the types and the contents of the chemical compositions of the samples were very close. At the same time, the model had the merits of low computation complexity and easy operation by computer programming. The research indicated that the grey system theory has good applicability to pattern recognition in the chromatographic fingerprints of TCM.

Application of Grey System Theory in Decision-making on Construction Scheme of Shear Wall Formwork

Application of Grey System Theory in Decision-making on Construction Scheme of Shear Wall Formwork

Application of Grey System Theory in Data Management of Track-andfield Training System

Application of Grey System Theory in Data Management of Track-andfield Training System

Application of Grey System Theory to Software Projects Ranking

The aim of this work is the identification of software project quality performance measures that would enable valid comparison and ranking of the completed projects. Software projects can be characterized by a set of influence factors. A subset of the influence factors is relevant for software project quality. In order to predict and determine the ranking of software projects by their success, and thus present a valid software project quality performance measure, we employ Grey system theory. Grey relational analysis is a kind of method which enables determination of the relational degree of every factor in the system. The method can be used for systems that are incompletely described with relatively few data available, and for which standard statistical assumptions are not satisfied.Relational degree between seven relevant software project quality influence factors is calculated for a set of ten software projects. The results demonstrate the usefulness and applicability of the Grey system theory in software project quality assessment.