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Lanczos-type algorithms with embedded interpolation and extrapolation models for solving large-scale systems of linear equations 求解大型线性方程组的lanczos型嵌入插值和外推模型算法
Int. J. Comput. Sci. Math. Pub Date : 2019-11-21 DOI: 10.1504/ijcsm.2019.103675
Maharani Maharani, Niken Larasati, A. Salhi, W. K. Mashwani
{"title":"Lanczos-type algorithms with embedded interpolation and extrapolation models for solving large-scale systems of linear equations","authors":"Maharani Maharani, Niken Larasati, A. Salhi, W. K. Mashwani","doi":"10.1504/ijcsm.2019.103675","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.103675","url":null,"abstract":"The new approach to combating instability in Lanczos-type algorithms for large-scale problems is proposed. It is a modification of so called the embedded interpolation and extrapolation model in Lanczos-type algorithms (EIEMLA), which enables us to interpolate the sequence of vector solutions generated by a Lanczos-type algorithm entirely, without rearranging the position of the entries of the vector solutions. The numerical results show that the new approach performs more effectively than the EIEMLA. In fact, we extend this new approach on the use of a restarting framework to obtain the convergence of Lanczos algorithms accurately. This kind of restarting challenges other existing restarting strategies in Lanczos-type algorithms.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134620234","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: 2
Generalised interval-valued intuitionistic fuzzy entropy with some similarity measures 具有相似性测度的广义区间值直觉模糊熵
Int. J. Comput. Sci. Math. Pub Date : 2019-11-21 DOI: 10.1504/ijcsm.2019.103678
Pratiksha Tiwari, Priti Gupta
{"title":"Generalised interval-valued intuitionistic fuzzy entropy with some similarity measures","authors":"Pratiksha Tiwari, Priti Gupta","doi":"10.1504/ijcsm.2019.103678","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.103678","url":null,"abstract":"Interval-valued intuitionistic fuzzy environment is appropriate for the most of the practical scenarios involving uncertainty, vagueness and insufficient information such as pattern recognition, medical diagnoses and decision making, etc. Entropy, similarity, distance, inclusion and cross entropy measures are few methods used for the measuring uncertainty and classifying interval-valued intuitionistic fuzzy sets. This paper presents the generalised entropy measure for the interval-valued intuitionistic fuzzy sets and relation is established that is used to define the generalised similarity measures using the proposed entropy measure. Further, the proposed entropy measure is compared with some existing measure of entropy with the help of an illustrative example and lastly we have demonstrated how the proposed measure can be used in decision making.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126580048","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
Finding equitable risk routes for hazmat shipments 寻找危险物品运输的公平风险路线
Int. J. Comput. Sci. Math. Pub Date : 2019-11-21 DOI: 10.1504/ijcsm.2019.103677
Huo Chai, Ruichun He, Changxi Ma, Cunjie Dai
{"title":"Finding equitable risk routes for hazmat shipments","authors":"Huo Chai, Ruichun He, Changxi Ma, Cunjie Dai","doi":"10.1504/ijcsm.2019.103677","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.103677","url":null,"abstract":"This paper develops a model to analyse hazmat shipments routing in the context of hazmat transportation between the specified origin-destination (OD) pair. A novel aspect of this model is the consideration of risk equity using the standard deviation, an established computation to assess equity. To solve the model, a two-phase method is developed, in which the multi-objective shortest path algorithm is used to obtain the Pareto-optimal paths set, and get the routes using estimation of distribution algorithm after paths choice. We then present a test problem of hazmat shipment with consideration of risk equity and discuss computational results.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"202 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116173044","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: 2
Non-smooth multi-objective fractional programming problem involving higher order functions 涉及高阶函数的非光滑多目标分式规划问题
Int. J. Comput. Sci. Math. Pub Date : 2019-10-01 DOI: 10.1504/ijcsm.2019.10024352
Pallavi Kharbanda, D. Agarwal
{"title":"Non-smooth multi-objective fractional programming problem involving higher order functions","authors":"Pallavi Kharbanda, D. Agarwal","doi":"10.1504/ijcsm.2019.10024352","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10024352","url":null,"abstract":"In this paper, a new generalised class of higher order (F, α, ρ, d)-V-type I function is introduced for a non-smooth multi-objective fractional programming problem involving support functions. The newly defined class extends several known classes in the literature has been justified through a non-trivial example. In the framework of new concept, we determine conditions under which a fractional function becomes higher order (F, α, ρ, d)-V-type I function and do some computational work to substantiate the analysis. Further, we establish Karush-Kuhn-Tucker type sufficient optimality conditions and derive various duality results for higher order Mond-Weir type and Schaible type dual programs.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130328241","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: 1
Finite element simulation of prevention thermal cracking in mass concrete 大体积混凝土预防热裂的有限元模拟
Int. J. Comput. Sci. Math. Pub Date : 2019-10-01 DOI: 10.1504/ijcsm.2019.10024354
Juncai Xu, Zhenzhong Shen, Song Yang, Xin Xie, Zhengyu Yang
{"title":"Finite element simulation of prevention thermal cracking in mass concrete","authors":"Juncai Xu, Zhenzhong Shen, Song Yang, Xin Xie, Zhengyu Yang","doi":"10.1504/ijcsm.2019.10024354","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10024354","url":null,"abstract":"The mass concrete structures play a very important role in civil engineering. The cracking of concrete is regarded as one of the biggest engineering problems. Therefore, it is very necessary for the cracking of mass concrete to do the control analysis. Some factors should be considered in mass concrete crack control analysis, mainly including the heat releases model of concrete, the mechanical model to the concrete, the process of temperature control in the pipe model. Differential evolution algorithm and equivalent algorithm are adopted to solve the coefficient of adiabatic temperature and cool water effect. In the paper, stress field calculation, back analysis calculations, and cooling pipe processing create secondary development based on the ABAQUS software platform. The second development of the code is used to reasonably solve the problem with one actual aqueduct in hydraulic engineering.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115983056","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: 16
Modelling and analysis of TCP congestion control mechanisms using stochastic reward nets 基于随机奖励网的TCP拥塞控制机制建模与分析
Int. J. Comput. Sci. Math. Pub Date : 2019-10-01 DOI: 10.1504/ijcsm.2019.10024355
O. Younes
{"title":"Modelling and analysis of TCP congestion control mechanisms using stochastic reward nets","authors":"O. Younes","doi":"10.1504/ijcsm.2019.10024355","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10024355","url":null,"abstract":"Modelling of congestion control mechanisms of the transmission control protocol (TCP) helps to obtain parametric results that help to better understand the TCP behaviour under different operating conditions. Several analytical models were proposed to analyse the behaviour of TCP congestion control mechanisms. However, most of these models were designed for a few TCP sessions with non-persistent connections. A few analytical studies were presented for modelling persistent TCP connections. Nevertheless, these studies have many limiting assumptions and are not scalable. In this work, a stochastic reward nets model is introduced for the TCP Reno with the persistent TCP connections, which share two bottleneck links in a wide area network. A microscopic approach was used for constructing the proposed model that captures most features of congestion control mechanisms used by the TCP Reno, and interactions between different TCP sessions. The proposed model relaxed several limiting assumptions adopted by other related models introduced in the literature. To validate the proposed model, analytical results are extensively compared with simulation results.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124474392","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: 3
A uniformly convergent numerical scheme for singularly perturbed differential equation with integral boundary condition arising in neural network 神经网络中具有积分边界条件的奇异摄动微分方程的一致收敛数值格式
Int. J. Comput. Sci. Math. Pub Date : 2019-10-01 DOI: 10.1504/ijcsm.2019.10024351
D. Shakti, J. Mohapatra
{"title":"A uniformly convergent numerical scheme for singularly perturbed differential equation with integral boundary condition arising in neural network","authors":"D. Shakti, J. Mohapatra","doi":"10.1504/ijcsm.2019.10024351","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10024351","url":null,"abstract":"This article deals with a singularly perturbed quasilinear boundary value problem with integral boundary condition which arises in neural network. The problem is discretised by using an upwind finite difference scheme on a non-uniform mesh obtained via equidistribution of a monitor function. We prove that the method is first order convergent in the discrete maximum norm independent of perturbation parameter. The parameter uniform convergence is confirmed by numerical computations.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134163833","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: 3
New concepts of domination sets in vague graphs with applications 模糊图中支配集的新概念及其应用
Int. J. Comput. Sci. Math. Pub Date : 2019-10-01 DOI: 10.1504/ijcsm.2019.10024350
Y. Talebi, H. Rashmanlou
{"title":"New concepts of domination sets in vague graphs with applications","authors":"Y. Talebi, H. Rashmanlou","doi":"10.1504/ijcsm.2019.10024350","DOIUrl":"https://doi.org/10.1504/ijcsm.2019.10024350","url":null,"abstract":"A vague graph is a generalised structure of a fuzzy graph that gives more precision, flexibility, and compatibility to a system when compared with systems that are designed using fuzzy graphs, which is introduced by Ramakrishna (2009). Domination in graphs has many applications to several fields. Domination arises in facility location problems, where the number of facilities (e.g., hospitals, fire stations) is fixed and one attempts to minimise the distance that a person needs to travel to get to the closest facility. Concepts from domination set also appear in problems involving finding sets of representatives in monitoring communication or electrical networks, and in land surveyor must stand in order to take height measurements for an entire region. Hence, in this paper, double domination of vague graphs is introduced and some basic theorems are proved. An interesting result on γdd(G) using some known parameter of G is obtained. Finally, some applications of domination in vague graph are given.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124472180","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: 10
Inclined magnetic field, thermal radiation and Hall current effects on natural convection flow between vertical parallel plates 倾斜磁场、热辐射和霍尔电流对垂直平行板间自然对流的影响
Int. J. Comput. Sci. Math. Pub Date : 2019-09-13 DOI: 10.1115/1.4044391
K. Kaladhar, K. Reddy, D. Srinivasacharya
{"title":"Inclined magnetic field, thermal radiation and Hall current effects on natural convection flow between vertical parallel plates","authors":"K. Kaladhar, K. Reddy, D. Srinivasacharya","doi":"10.1115/1.4044391","DOIUrl":"https://doi.org/10.1115/1.4044391","url":null,"abstract":"\u0000 This analysis studies the impact of an inclined magnetic field, hall current, and thermal radiation on fully developed electrically conducting mixed convection flow through a channel. The governing equations are nondimensionalized. The resulting system of nonlinear ordinary differential equations is solved utilizing spectral quasi-linearization method. Impact of all the pertaining flow parameters of this study on all the dimensionless profiles was calculated and presented through plots. Also, the nature of the physical parameters was calculated and presented in table form. This study clearly exhibits that the inclined magnetic field influences the fluid flow remarkably.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117169214","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: 6
Theoretical analysis of the magnetic field and eddy current within a rectangular giant magnetostrictive material plate 矩形超磁致伸缩材料板内磁场和涡流的理论分析
Int. J. Comput. Sci. Math. Pub Date : 2019-07-04 DOI: 10.1504/IJCSM.2019.10022409
Huifeng Liu, Junlin Li, Kewei Zhang, Donghui Yang
{"title":"Theoretical analysis of the magnetic field and eddy current within a rectangular giant magnetostrictive material plate","authors":"Huifeng Liu, Junlin Li, Kewei Zhang, Donghui Yang","doi":"10.1504/IJCSM.2019.10022409","DOIUrl":"https://doi.org/10.1504/IJCSM.2019.10022409","url":null,"abstract":"In this paper, we present the distribution functions of magnetic field intensity and eddy current intensity within a rectangular magnetostrictive material plate. Firstly, on the basis of Maxwell's theory, the mathematical model for the magnetic field within the plate is established. Then, the governing equation for determining the magnetic field is solved by Fourier transform; an error in Stoll's book (1983) is corrected. Furthermore, the function of eddy current intensity is deduced. Next, the expressions of the magnetic field and eddy current are given in the case of the external magnetic field and the plate makes an angle of θ. Lastly, taking rectangular giant magnetostrictive plate is parallel to external magnetic field as example, the influencing factors of the inner magnetic field and eddy current are unveiled: the skin effect is enhanced with the increase of the exciting frequency, the relative permeability or conductivity; the higher the relative permeability or conductivity, the more significant the eddy current density increases.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114573497","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: 3
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