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Mathematical Models in Engineering最新文献

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Common fixed-point theorem for commuting maps on a metric space 度量空间上交换映射的共定点定理
Mathematical Models in Engineering Pub Date : 2024-07-20 DOI: 10.21595/mme.2024.24160
S. K. Sahani, Vijay Vir Singh, Krishnapal Singh Sisodia, Kusum Sharma
{"title":"Common fixed-point theorem for commuting maps on a metric space","authors":"S. K. Sahani, Vijay Vir Singh, Krishnapal Singh Sisodia, Kusum Sharma","doi":"10.21595/mme.2024.24160","DOIUrl":"https://doi.org/10.21595/mme.2024.24160","url":null,"abstract":"Several novel uses of theorems for fixed points in commuting mapping in a fully metric domain are presented. Several conclusions from full metric fixed point theory are improved and extended by our work. Our proofs are inspired by the study of commuting mappings [B. Fisher and S. Sessa, on a fixed point theorem of Gregus, 1986] and [P. Sumati Kumari, Fixed and periodic point theory in certain spaces, 2013].","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"22 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141819519","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}
引用次数: 0
Secure metric dimension of new classes of graphs 新类图形的安全度量维度
Mathematical Models in Engineering Pub Date : 2024-07-15 DOI: 10.21595/mme.2024.24168
I. Batiha, Basma Mohamed, I. Jebril
{"title":"Secure metric dimension of new classes of graphs","authors":"I. Batiha, Basma Mohamed, I. Jebril","doi":"10.21595/mme.2024.24168","DOIUrl":"https://doi.org/10.21595/mme.2024.24168","url":null,"abstract":"The metric representation of a vertex v of a graph G is a finite vector representing distances of v with respect to vertices of some ordered subset S⊆V (G). If no suitable subset of S provides separate representations for each vertex of V(G), then the set S is referred to as a minimal resolving set. The metric dimension of G is the cardinality of the smallest (with respect to its cardinality) minimal resolving set. A resolving set S is secure if for any v∈V–S, there exists x∈S such that (S–{x})∪{v} is a resolving set. For various classes of graphs, the value of the secure resolving number is determined and defined. The secure metric dimension of the graph classes is being studied in this work. The results show that different graph families have different metric dimensions.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"104 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141647535","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}
引用次数: 0
Design and analysis of tracking differentiator based on SO(3) 基于 SO(3) 的跟踪分化器的设计与分析
Mathematical Models in Engineering Pub Date : 2024-06-06 DOI: 10.21595/mme.2024.24129
Ruixin Deng, Guolai Yang
{"title":"Design and analysis of tracking differentiator based on SO(3)","authors":"Ruixin Deng, Guolai Yang","doi":"10.21595/mme.2024.24129","DOIUrl":"https://doi.org/10.21595/mme.2024.24129","url":null,"abstract":"Motivated by the issue of insufficient dynamic performance and tracking accuracy in SO(3)-based attitude tracking differentiators during large-angle maneuvers and complex trajectory tracking, a novel design approach for a three-degree-of-freedom attitude tracking differentiator within the SO(3) framework is proposed by incorporating second-order system theory and Lie group theory and improving the classical tracking differentiator. The kinematics model and error dynamics model of a rigid body on SO(3) are derived, and a reasonable virtual control input on SO(3) is constructed subsequently in order to achieve better dynamic response and tracking performance. Simulation and experimental results validate that the designed tracking differentiator could realize rapid and smooth convergence during large-angle maneuvers, and the initial large tracking error rapidly drops to near zero in a short period of time; additionally, it can also track expected time-varying curves well in complex trajectory tracking, with initial errors rapidly decreasing and maintaining at normal levels, demonstrating excellent tracking and control capabilities. There are strong application prospects for this new approach in addition to its theoretical significance.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"39 s175","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141377547","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}
引用次数: 0
Transforming data with the arcsine distribution for random walks 用随机游走的 arcsine 分布转换数据
Mathematical Models in Engineering Pub Date : 2024-05-23 DOI: 10.21595/mme.2024.24105
Yassine Laarichi, Mariem Elkaf, Amal Aloui, Oualid Rholam
{"title":"Transforming data with the arcsine distribution for random walks","authors":"Yassine Laarichi, Mariem Elkaf, Amal Aloui, Oualid Rholam","doi":"10.21595/mme.2024.24105","DOIUrl":"https://doi.org/10.21595/mme.2024.24105","url":null,"abstract":"This article delves into a pioneering methodology for optimizing the analysis of random walk data by implementing the arcsine distribution. The application of the arcsine distribution serves as an imperceptible yet potent solution, mitigating asymmetry and introducing bounds while effectively modeling the nuanced characteristics intrinsic to random walk patterns. Through a meticulous exploration of the mathematical foundations and practical applications of this distribution, this study discreetly advances statistical methodologies for handling random walk data. The article illuminates the theoretical underpinnings, subtle advantages, and pragmatic implications of arcsine distribution utilization, showcasing its imperceptible yet impactful role in capturing and reshaping random walk dynamics. Through a meticulous exploration of the mathematical foundations and practical applications of this distribution, this study discreetly advances statistical methodologies for handling random walk data, particularly in the context of financial modeling.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"12 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141106949","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}
引用次数: 0
On the decisional problem based on matrix power function defined over non-commutative group 基于非交换群上定义的矩阵幂函数的判定问题
Mathematical Models in Engineering Pub Date : 2024-05-09 DOI: 10.21595/mme.2024.24071
A. Mihalkovich, Jokūbas Žitkevičius
{"title":"On the decisional problem based on matrix power function defined over non-commutative group","authors":"A. Mihalkovich, Jokūbas Žitkevičius","doi":"10.21595/mme.2024.24071","DOIUrl":"https://doi.org/10.21595/mme.2024.24071","url":null,"abstract":"In this paper, we perform statistical analysis for the decisional problem which is fundamental for the security of the key exchange protocol based on matrix power function. We have proven previously that the considered decisional problem is NP-complete and hence our proposal could potentially be quantum-safe. However, we did not explore the dependence of the complexity of the considered problem on the security parameters. Here we show that for small matrices certain information could be gained from the distribution of the entries of the public key matrices. On the other hand, we show that as the size of the matrices grows, the public key matrices are indistinguishable from truly random matrices.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140994328","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}
引用次数: 0
Binary rat swarm optimizer algorithm for computing independent domination metric dimension problem 计算独立支配度量维度问题的二元鼠群优化算法
Mathematical Models in Engineering Pub Date : 2024-04-21 DOI: 10.21595/mme.2024.24037
I. Batiha, Basma Mohamed
{"title":"Binary rat swarm optimizer algorithm for computing independent domination metric dimension problem","authors":"I. Batiha, Basma Mohamed","doi":"10.21595/mme.2024.24037","DOIUrl":"https://doi.org/10.21595/mme.2024.24037","url":null,"abstract":"In this article, we look at the NP-hard problem of determining the minimum independent domination metric dimension of graphs. A vertex set B of a connected graph G(V,E) resolves G if every vertex of G is uniquely recognized by its vector of distances to the vertices in B. If there are no neighboring vertices in a resolving set B of G, then B is independent. Every vertex of G that does not belong to B must be a neighbor of at least one vertex in B for a resolving set to be dominant. The metric dimension of G, independent metric dimension of G, and independent dominant metric dimension of G are, respectively, the cardinality of the smallest resolving set of G, the minimal independent resolving set, and the minimal independent domination resolving set. We propose the first attempt to use a binary version of the Rat Swarm Optimizer Algorithm (BRSOA) to heuristically calculate the smallest independent dominant resolving set of graphs. The search agent of BRSOA are binary-encoded and used to identify which one of the vertices of the graph belongs to the independent domination resolving set. The feasibility is enforced by repairing search agent such that an additional vertex created from vertices of G is added to B, and this repairing process is repeated until B becomes the independent domination resolving set. Using theoretically computed graph findings and comparisons to competing methods, the proposed BRSOA is put to the test. BRSOA surpasses the binary Grey Wolf Optimizer (BGWO), the binary Particle Swarm Optimizer (BPSO), the binary Whale Optimizer (BWOA), the binary Gravitational Search Algorithm (BGSA), and the binary Moth-Flame Optimization (BMFO), according to computational results and their analysis.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"117 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140678118","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}
引用次数: 0
Connected metric dimension of the class of ladder graphs 阶梯图类的连接度量维度
Mathematical Models in Engineering Pub Date : 2024-04-21 DOI: 10.21595/mme.2024.23934
M. I. Batiha, Mohamed Amin, Basma Mohamed, H. I. Jebril
{"title":"Connected metric dimension of the class of ladder graphs","authors":"M. I. Batiha, Mohamed Amin, Basma Mohamed, H. I. Jebril","doi":"10.21595/mme.2024.23934","DOIUrl":"https://doi.org/10.21595/mme.2024.23934","url":null,"abstract":"Numerous applications, like robot navigation, network verification and discovery, geographical routing protocols, and combinatorial optimization, make use of the metric dimension and connected metric dimension of graphs. In this work, the connected metric dimension types of ladder graphs, namely, ladder, circular, open, and triangular ladder graphs, as well as open diagonal and slanting ladder graphs, are studied.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"112 36","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140678337","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}
引用次数: 0
Feedback force and velocity control of an arm exoskeleton to assist user motion 手臂外骨骼的反馈力和速度控制，辅助用户运动
Mathematical Models in Engineering Pub Date : 2024-03-02 DOI: 10.21595/mme.2024.23915
Thang Cao Nguyen, Tuan Ngoc Nguyen
{"title":"Feedback force and velocity control of an arm exoskeleton to assist user motion","authors":"Thang Cao Nguyen, Tuan Ngoc Nguyen","doi":"10.21595/mme.2024.23915","DOIUrl":"https://doi.org/10.21595/mme.2024.23915","url":null,"abstract":"The paper proposes a feedback force and velocity control of an arm exoskeleton to assist user motion. The original published control so-called feedback hybrid force and position control was based on the force and position control and was designed to assist user motion. This original control was successful at providing assist for the user’s arm. This article presents an improved control scheme called the feedback force and velocity control. The proposed control is designed to regulate the velocities of joints of the exoskeleton and the feedback forces on links to assist user motion. The design and optimization of the feedback force and velocity control are realized by the Balancing Composite Motion Optimization (BCMO). The numerical method is realized in the paper to show that the proposed control is better than the original control in terms of less oscillation and fast response.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"26 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140081937","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}
引用次数: 0
A simple harmonic quantum oscillator: fractionalization and solution 简单谐波量子振荡器：分数化与求解
Mathematical Models in Engineering Pub Date : 2024-03-02 DOI: 10.21595/mme.2024.23904
I. Batiha, I. Jebril, Abeer A. Al-Nana, Shameseddin Alshorm
{"title":"A simple harmonic quantum oscillator: fractionalization and solution","authors":"I. Batiha, I. Jebril, Abeer A. Al-Nana, Shameseddin Alshorm","doi":"10.21595/mme.2024.23904","DOIUrl":"https://doi.org/10.21595/mme.2024.23904","url":null,"abstract":"A quantum mechanical system that mimics the behavior of a classical harmonic oscillator in the quantum domain is called a simple harmonic quantum oscillator. The time-independent Schrödinger equation describes the quantum harmonic oscillator, and its eigenstates are quantized energy values that correspond to various energy levels. In this work, we first fractionalize the time-independent Schrödinger equation, and then we solve the generated problem with the use of the Adomian decomposition approach. It has been shown that fractional quantum harmonic oscillators can be handled effectively using the proposed approach, and their behavior can then be better understood. The effectiveness of the method is validated by a number of numerical comparisons.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"40 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140082354","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}
引用次数: 0
Optimizing mechanical properties of virgin and recycled PLA components using Anova and neural networks 利用 Anova 和神经网络优化原生和回收聚乳酸部件的机械性能
Mathematical Models in Engineering Pub Date : 2024-02-29 DOI: 10.21595/mme.2023.23630
Girish Kumar P V R, Devaki Devi K
{"title":"Optimizing mechanical properties of virgin and recycled PLA components using Anova and neural networks","authors":"Girish Kumar P V R, Devaki Devi K","doi":"10.21595/mme.2023.23630","DOIUrl":"https://doi.org/10.21595/mme.2023.23630","url":null,"abstract":"The increasing demand for polymers in additive manufacturing (AM) has led to a significant increase in plastic waste, with over 300 million metric tons used in recent years. This research article explores the use of Poly Lactic Acid (PLA) as a biodegradable thermoplastic recycled material for 3D printed components, comparing its properties with virgin PLA and discussing solutions for variation and mechanical features improvement. Fused Deposition Modeling (FDM) is a widely used additive manufacturing process that allows for the creation of three-dimensional objects by depositing molten material layer by layer. This study investigates the impact of infill density, layer thickness, and raster angle for recycled 3D printing material, focusing on their dimensions and their influence on processing efficiency. This research paper aims to investigate the mechanical effects of recycled 3d printed components which are printed by using FDM with the combination of different process parameters compared with virgin PLA. From results optimal process parameters are found to enhancing quality and performance of recycled 3D printed components. Later results are compared by Analysis of Variance (ANOVA) as a statistical tool and also with ANN technique, which minimizes error deviation.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":"20 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140412932","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}
引用次数: 0
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