Linear programming is an important branch of operations research and a mathematical method to assist people in scientific management. In this paper, linear programming is mainly used to obtain the optimal solution to a real transportation problem. In this problem, we added a lot of restrictions to the destination and transportation to simulate the most realistic scenario. In addition, we have tested multiple sets of data and come to some regular conclusions. This research can well control the cost of transporting goods, so as to obtain more benefits, and it has reference value in practical application.
{"title":"A linear programming model for transportation planning in the arbitrary truck load strategy to supply products with unbalanced demand","authors":"Chenglin Wu, Yufan Wu, Zeshen Li, Weishi Zong","doi":"10.1117/12.2679309","DOIUrl":"https://doi.org/10.1117/12.2679309","url":null,"abstract":"Linear programming is an important branch of operations research and a mathematical method to assist people in scientific management. In this paper, linear programming is mainly used to obtain the optimal solution to a real transportation problem. In this problem, we added a lot of restrictions to the destination and transportation to simulate the most realistic scenario. In addition, we have tested multiple sets of data and come to some regular conclusions. This research can well control the cost of transporting goods, so as to obtain more benefits, and it has reference value in practical application.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130072516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
For the consideration of the differences in the influence of group pressure on individuals, based on the Hegselmann- Krause model, this paper introduces the concepts of group pressure, individual type and relationship degree. Based on the new individual interaction rules, the model is established to explore the influence of different factors in the model on the opinion evolution process. The model is built based on new individual interaction rules and explores the effect of group pressure and the proportion of different types of groups in the model on the opinion evolution process. The simulation results show that different network models affect the evolutionary process and the speed of convergence, but not the final evolutionary outcome.The proportion of non-conformity groups greatly affects the degree of consensus of the final opinion. True conformity groups contribute to group consensus, while equity conformity groups promote opinion diversity. The convergence time of group expressed opinions is generally shorter than that of private group opinions. The results of the study assist social managers in guiding the opinion dissemination process in a targeted manner according to the characteristics of different types of groups.
{"title":"Model of the evolution of opinion propagation under the effect of group pressure","authors":"Jianhong Jiang, Runli Sun","doi":"10.1117/12.2678906","DOIUrl":"https://doi.org/10.1117/12.2678906","url":null,"abstract":"For the consideration of the differences in the influence of group pressure on individuals, based on the Hegselmann- Krause model, this paper introduces the concepts of group pressure, individual type and relationship degree. Based on the new individual interaction rules, the model is established to explore the influence of different factors in the model on the opinion evolution process. The model is built based on new individual interaction rules and explores the effect of group pressure and the proportion of different types of groups in the model on the opinion evolution process. The simulation results show that different network models affect the evolutionary process and the speed of convergence, but not the final evolutionary outcome.The proportion of non-conformity groups greatly affects the degree of consensus of the final opinion. True conformity groups contribute to group consensus, while equity conformity groups promote opinion diversity. The convergence time of group expressed opinions is generally shorter than that of private group opinions. The results of the study assist social managers in guiding the opinion dissemination process in a targeted manner according to the characteristics of different types of groups.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"79 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134634449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
For this paper, we mainly consider a class of Kirchhoff-type fractional Laplace equation with singular term. By using the variational way and other analysis measures, we get an important result, which is uniqueness of positive solutions for a kind of Kirchhoff type equations with weak singular term.
{"title":"Uniqueness result for fractional Kirchhoff-type problems with singular nonlinearity","authors":"Ti Song","doi":"10.1117/12.2678969","DOIUrl":"https://doi.org/10.1117/12.2678969","url":null,"abstract":"For this paper, we mainly consider a class of Kirchhoff-type fractional Laplace equation with singular term. By using the variational way and other analysis measures, we get an important result, which is uniqueness of positive solutions for a kind of Kirchhoff type equations with weak singular term.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124744790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The curvature of the level set of elliptic partial differential equation solutions is always an important content in the study of convexity. Curvature is an important invariant of surface, which characterizes the degree of curve bending, is the important basis of differential geometry. Curvature is widely used in machining. In this paper, we study the completely nonlinear elliptic Monge-Ampère equation det D2u = eu with 0 boundary value Dirichlet condition in four-dimensional Euclidean space. It is proved that the auxiliary function obtains the maximum value at the boundary, and then the mean curvature and Gauss curvature of the level sets of the solutions of the equation are estimated quantitatively.
{"title":"Curvature estimation of the level sets of solutions of a class of elliptic partial differential equation","authors":"Xue Yu","doi":"10.1117/12.2679047","DOIUrl":"https://doi.org/10.1117/12.2679047","url":null,"abstract":"The curvature of the level set of elliptic partial differential equation solutions is always an important content in the study of convexity. Curvature is an important invariant of surface, which characterizes the degree of curve bending, is the important basis of differential geometry. Curvature is widely used in machining. In this paper, we study the completely nonlinear elliptic Monge-Ampère equation det D2u = eu with 0 boundary value Dirichlet condition in four-dimensional Euclidean space. It is proved that the auxiliary function obtains the maximum value at the boundary, and then the mean curvature and Gauss curvature of the level sets of the solutions of the equation are estimated quantitatively.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121788544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
H. Steinhaus proposed a conjecture about irrational numbers, called the Steinhaus conjecture. Sós et al. proved it, and the results of the study are referred to as the “Three Gap Theorem.” In this paper, we promote the Steinhaus conjecture and prove the generalization of the Three Gap Theorem, in which the definition domain of independent variables is extended from natural number sets to integer sets, and an application of the extended conclusion in the field of music art is illustrated.
{"title":"Generalization of Steinhaus conjecture","authors":"Gen-Fang Chen","doi":"10.1117/12.2678950","DOIUrl":"https://doi.org/10.1117/12.2678950","url":null,"abstract":"H. Steinhaus proposed a conjecture about irrational numbers, called the Steinhaus conjecture. Sós et al. proved it, and the results of the study are referred to as the “Three Gap Theorem.” In this paper, we promote the Steinhaus conjecture and prove the generalization of the Three Gap Theorem, in which the definition domain of independent variables is extended from natural number sets to integer sets, and an application of the extended conclusion in the field of music art is illustrated.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"176 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122092014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The mixed rationality phenomenon on complete rationality of traffic managers and limited rationality of route selection of drivers, exacerbated by the complexity of urban transport path-guidance behavior. First, analyze finite route choosing behavior by evolutionary game topologically, and then facing the urban road network system, the route guidance simple evolutionary game model was put through, based on the three choice behaviors of the driving experience, guidance information, and combination with guidance information, and the evolutionary game theory of black box. Finally, select such as the route travel time, the average travel speed of path, the route load degree and congestion index, and take central zone of Baoshan for example, whose result indicate: it is a relatively reliable route selection method for combination with guidance information and driving experience, especially the most outstanding in the rush hour, and helpful to optimize the overall route networks.
{"title":"Mixed rationality model of route guidance based on evolutionary game","authors":"Junjun Zhao, Xianbao Zhao, Wei Cheng, H. Xiao","doi":"10.1117/12.2679257","DOIUrl":"https://doi.org/10.1117/12.2679257","url":null,"abstract":"The mixed rationality phenomenon on complete rationality of traffic managers and limited rationality of route selection of drivers, exacerbated by the complexity of urban transport path-guidance behavior. First, analyze finite route choosing behavior by evolutionary game topologically, and then facing the urban road network system, the route guidance simple evolutionary game model was put through, based on the three choice behaviors of the driving experience, guidance information, and combination with guidance information, and the evolutionary game theory of black box. Finally, select such as the route travel time, the average travel speed of path, the route load degree and congestion index, and take central zone of Baoshan for example, whose result indicate: it is a relatively reliable route selection method for combination with guidance information and driving experience, especially the most outstanding in the rush hour, and helpful to optimize the overall route networks.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127399650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
With the rapid development of computer and Internet technology, digital information has shown an explosive growth. Traditional text clustering models suffer from high data dimensionality, sparse data and lack of semantic understanding. This paper uses CiteSpace bibliometric analysis and LDA model hierarchical clustering method to visualise and analyse the evolution process and research frontiers of the green port knowledge domain, which has certain practical significance for the in-depth promotion of green port practices in China.
{"title":"Research on green port based on LDA model and CiteSpace bibliometric analysis","authors":"Chen Shi, Ding Qian, Liang Ke","doi":"10.1117/12.2679115","DOIUrl":"https://doi.org/10.1117/12.2679115","url":null,"abstract":"With the rapid development of computer and Internet technology, digital information has shown an explosive growth. Traditional text clustering models suffer from high data dimensionality, sparse data and lack of semantic understanding. This paper uses CiteSpace bibliometric analysis and LDA model hierarchical clustering method to visualise and analyse the evolution process and research frontiers of the green port knowledge domain, which has certain practical significance for the in-depth promotion of green port practices in China.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127741489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
China is the world's largest consumer of tobacco and the world's largest victim of tobacco, so I hope to solve the problem of smoking transmission, which is important to control the scale of its transmission and reduce the harm to public health and socioeconomic development. In this paper, we use the infectious disease dynamics model (SIR) to solve the problem of smoking transmission. This paper introduces the SIR model as the basis and then establishes three new models to analyze the spread of smoking, and then calculates the Basic reproduction number according to the disease free equilibrium of the three models. Finally, the conclusions of the three models are used to propose corresponding countermeasures and suggestions, so as to analyze and solve the problem of the spread of smoking and provide a reference. The three models are used to calculate the Basic reproduction number.
{"title":"Analysis of smoking transmission based on the SIR","authors":"Zhuohang Qin, Sibei Li","doi":"10.1117/12.2678953","DOIUrl":"https://doi.org/10.1117/12.2678953","url":null,"abstract":"China is the world's largest consumer of tobacco and the world's largest victim of tobacco, so I hope to solve the problem of smoking transmission, which is important to control the scale of its transmission and reduce the harm to public health and socioeconomic development. In this paper, we use the infectious disease dynamics model (SIR) to solve the problem of smoking transmission. This paper introduces the SIR model as the basis and then establishes three new models to analyze the spread of smoking, and then calculates the Basic reproduction number according to the disease free equilibrium of the three models. Finally, the conclusions of the three models are used to propose corresponding countermeasures and suggestions, so as to analyze and solve the problem of the spread of smoking and provide a reference. The three models are used to calculate the Basic reproduction number.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125666176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shale gas is regard as a clean, low-carbon and green energy, and the utilization and efficient development of shale gas is of great significance for achieving the dual carbon goals. Horizontal well hydraulic fracturing is an important way to develop shale gas resources. Predicting the production of shale gas under different engineering or geological conditions of shale reservoirs is crucial to the optimal fracturing design of shale gas development. This study proposes a LSTMbased intelligent model to predict the gas production of shale, and this novel smart model predicts gas production quickly and accurately. We comprehensively evaluate and compare the performance of the AI network, and the results of test show that the LSTM-based AI model can output gas production data by inputting reservoir and engineering parameters. The mean value of relative error of the LSTM-based AI model is 5.32%, which is reliably for the prediction of gas production. The peak of relative errors of this AI model in this study on day 100, 300, and 500 are 4.67%, 6.53%, and 8.23%, respectively. This study can provide an effective and quick method for shale gas prediction and improve the intelligence level of energy development.
{"title":"Application of LSTM intelligent algorithm in shale gas development","authors":"Qichao Gao, Lulu Liao, Shunhui Yang","doi":"10.1117/12.2679172","DOIUrl":"https://doi.org/10.1117/12.2679172","url":null,"abstract":"Shale gas is regard as a clean, low-carbon and green energy, and the utilization and efficient development of shale gas is of great significance for achieving the dual carbon goals. Horizontal well hydraulic fracturing is an important way to develop shale gas resources. Predicting the production of shale gas under different engineering or geological conditions of shale reservoirs is crucial to the optimal fracturing design of shale gas development. This study proposes a LSTMbased intelligent model to predict the gas production of shale, and this novel smart model predicts gas production quickly and accurately. We comprehensively evaluate and compare the performance of the AI network, and the results of test show that the LSTM-based AI model can output gas production data by inputting reservoir and engineering parameters. The mean value of relative error of the LSTM-based AI model is 5.32%, which is reliably for the prediction of gas production. The peak of relative errors of this AI model in this study on day 100, 300, and 500 are 4.67%, 6.53%, and 8.23%, respectively. This study can provide an effective and quick method for shale gas prediction and improve the intelligence level of energy development.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"74 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132149377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
It has been shown that ∫∞n(𝐥𝐨𝐠 𝒙)𝟐/𝟏+𝒙𝟐 𝒅𝒙 = 𝝅𝟑/𝟖, and 𝐥𝐨𝐠 𝒛 has been chosen to be a branch of the logarithm function in this paper. Meanwhile, logz is holomorphic in the domain: {𝒛: 𝑰𝒎𝒛 ≥ 𝟎 𝒂𝒏𝒅 𝒛 ≠ 𝟎}. Then this study calculates how to express residue of f as 𝟏 + 𝐳𝟐 = (𝐳 − 𝐢) ∙ (𝐳 + 𝐢), and there are two solutions of 𝟏 + 𝐳𝟐 = 𝟎: 𝒛𝟏 = 𝒊 𝒂𝒏𝒅 𝒛𝟐 = −𝒊. The function has only one pole occurs at 𝐳 = 𝐢. This result applies to more calculation of integral along curves.
{"title":"The integral along curves by residue theorem","authors":"Yuan Liu","doi":"10.1117/12.2679151","DOIUrl":"https://doi.org/10.1117/12.2679151","url":null,"abstract":"It has been shown that ∫∞n(𝐥𝐨𝐠 𝒙)𝟐/𝟏+𝒙𝟐 𝒅𝒙 = 𝝅𝟑/𝟖, and 𝐥𝐨𝐠 𝒛 has been chosen to be a branch of the logarithm function in this paper. Meanwhile, logz is holomorphic in the domain: {𝒛: 𝑰𝒎𝒛 ≥ 𝟎 𝒂𝒏𝒅 𝒛 ≠ 𝟎}. Then this study calculates how to express residue of f as 𝟏 + 𝐳𝟐 = (𝐳 − 𝐢) ∙ (𝐳 + 𝐢), and there are two solutions of 𝟏 + 𝐳𝟐 = 𝟎: 𝒛𝟏 = 𝒊 𝒂𝒏𝒅 𝒛𝟐 = −𝒊. The function has only one pole occurs at 𝐳 = 𝐢. This result applies to more calculation of integral along curves.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"271 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133903321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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