Hybrid journal (It can contain Open Access articles) ISSN (Print) 1752-5055 - ISSN (Online) 1752-5063 Published by Inderscience Publishers[427 journals]

Authors:N. Subramanian, A. Esi Pages: 291 - 300 Abstract: In this article the notion of randomness of lacunary statistical acceleration convergence of Γ<SUP align="right">3</SUP> over p-metric spaces defined by sequence of Orlicz has been introduced and some theorems related to that concept have been established using the four dimensional matrix transformations. The authors' construction with new definitions and also new statement of theorems of proofs are formulated. Keywords: analytic sequence; double sequences; Γ3 space; Musielak-Orlicz function; random p-metric space; lacunary sequence; statistical convergence; converging faster; converging at the same rate; acceleration field; triple natural density Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 291 - 300 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085864 Issue No:Vol. 8, No. 4 (2017)

Authors:Liang Geng, Renbin Xiao, Tinggui Chen Pages: 301 - 312 Abstract: As supply chain is becoming more vulnerable to disruptions, how to effectively prevent and respond to risks is a hot topic in supply chain management. In this paper, resilience management approach to supply chain risk control is applied, the practical problem of logistics distribution under the emergency environment is taken as an example and the implementation strategy of integrated resilience and its application effect are also discussed. This paper puts forward the integrated resilience management framework, which covers the early prevention, mid-term mitigation and later recovery. And it sets up resilience management mathematical model of logistics distribution and presents details about the implementation process of resilience strategy. The case study verified the effectiveness. Our method provides effective basis for resilience decision, which improves the real time capability and effectiveness of emergency logistics. Keywords: resilience management; emergency logistics; SOC; ant colony optimisation Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 301 - 312 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085843 Issue No:Vol. 8, No. 4 (2017)

Authors:Jill K. Mathew, Sunil Mathew Pages: 313 - 323 Abstract: In a weighted graph, the edges are mainly classified into α, β and δ. In this paper, some sequences in weighted graphs are introduced. These concepts are based on the above classification. Characterisations of partial blocks and partial trees are obtained. It is shown that sequence of a partial tree is the zero sequence, and sequence of a partial block is a binary sequence. Keywords: graph; tree; sequence; partial block; partial tree Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 313 - 323 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085851 Issue No:Vol. 8, No. 4 (2017)

Authors:Renbin Xiao, Shanshan Xie, Tinggui Chen Pages: 324 - 341 Abstract: With the increasing complexity of the supply chain, it brings benefits as well as increasing vulnerability to the supply chain. Research on the cause and characteristic of vulnerability is prerequisite for effective management measures. First, a supply chain network model based on Poisson distribution and preference selection mechanism is established, of which the interactions are further studied. On this basis, the cascading failure process of supply chain network i analysed, and then the impact of supply chain network topology on the system vulnerability and the determination of node vulnerability are further discussed. Finally, an example of certain automotive group supply chain is used to verify the effectiveness and practicality of this method. The study finds that the root of supply network vulnerability lies in cascading failure and there is a certain power-law relationship between its scale and frequency, namely supply chain network owns self-organised criticality, which affects the vulnerability of supply chain network. Meanwhile, the node vulnerability assessment method could provide an effective basis for taking effective preventive measures. Keywords: supply chain network; vulnerability analysis; interactions; cascading failure; self-organised criticality; SOC Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 324 - 341 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085842 Issue No:Vol. 8, No. 4 (2017)

Authors:D. Pradeep, M.P. Rajan Pages: 342 - 352 Abstract: Study of inverse problems are interesting and mathematically challenging due to the fact that in most of the situation they are unstable with respect to perturbations of the data. In this paper to solve such operator equations, we propose a modified form of Gauss-Newton method combined with an a posteriori parameter choice strategy with the inexact data. Convergence and the convergence rate results are proven. We consider both a-priori and a-posteriori choice rule of parameter that guarantees the scheme converges to the exact solution. The theoretical results are illustrated through numerical examples and compared with the standard scheme to demonstrate that the scheme is stable and achieves good computational output. The salient features of our proposed scheme are: 1) convergence analysis and desired convergence rate require only weaker assumptions compared to many assumptions used in the standard scheme in literature; 2) consideration of an adaptive and numerically stable a posteriori parameter strategy that gives the same order of convergence as that of an a priori method; 3) computation of an optimal order regularisation parameter of the order O(δ<SUP align="right">2/3</SUP>) using a discrepancy principle. Keywords: nonlinear ill-posed problems; regularisation; iterative method Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 342 - 352 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085852 Issue No:Vol. 8, No. 4 (2017)

Authors:Zijun Wu, Shuting Wang Pages: 353 - 363 Abstract: The isogeometric analysis (IGA), which establishes a bridge between CAD and CAE, offers a new convenient framework of optimisation. This article develops an approach to apply the non-uniform rational basis splines (NURBS)-based IGA to the topology optimisation using parameterised level set method. Here, the objective function is evaluated according to the basis function of NURBS and the level set function is constructed through collocation points using the compactly supported radial basis function. To evaluate the equivalent strain energy for each element, the level-set function value of every node is calculated from the corresponding value of collocation points. We have compared the numerical result accuracy as well as the time cost of the proposed method, and it turns out to be very promising. Keywords: isogeometric analysis; IGA; topology optimisation; level set method; LSM; radial basis functions Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 353 - 363 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085861 Issue No:Vol. 8, No. 4 (2017)

Authors:H.Q. Kafri, S.A. Khuri, A. Sayfy Pages: 364 - 373 Abstract: The aim of this article is to solve a Bratu-like nonlinear differential equation arising in electrospinning and vibration-electrospinning process that was recently introduced by Liu and Wang (2014). Electro-spinning process has been associated to Bratu equation through thermo-electro-hydrodynamics balance equations. The proposed strategy is based on embedding Green's function into Picard's fixed-point iteration scheme. Validation of the novel algorithm is demonstrated through numerical examples which comprise certain selected values of the parameters that appear in the modelled equation. Keywords: Bratu-like nonlinear differential equation; electrospinning; vibration-electrospinning process; Green's functions; Picard's fixed-point iteration scheme Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 364 - 373 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085869 Issue No:Vol. 8, No. 4 (2017)

Authors:H.Q. Kafri, S.A. Khuri, A. Sayfy Pages: 374 - 383 Abstract: We generalised the concepts in probability of rough intuitionistic convergence and rough intuitionistic statistically convergence by introducing the generalised difference operator Δ<SUP align="right">α</SUP><SUB align="right">γ of fractional order, where α is a proper fraction and γ = (γ<SUB align="right">mnk) is any fixed sequence of non-zero real or complex numbers. We study some properties of this operator and investigate the topological structures of related of triple difference sequence spaces of ξ <SUP align="right">3</SUP><SUB align="right">f (Δ<SUP align="right">α</SUP><SUB align="right">γ x<SUB align="right">mnk). The main focus of the present paper is to generalised rough intuitionistic convergence and rough intuitionistic statistical difference of triple difference sequence spaces of χ<SUP align="right">3</SUP> and investigate their topological structures as well as some interesting results concerning the operator Δ<SUP align="right">α</SUP><SUB align="right">γ. Keywords: analytic sequence; Orlicz function; triple sequences; chi sequence; intuitionistic; statistical convergence; Cesàro C1,1,1-statistical convergence Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 374 - 383 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085865 Issue No:Vol. 8, No. 4 (2017)

Authors:Ranadheer Donthi, Rajaiah Dasari, Malla Reddy Perati Pages: 384 - 394 Abstract: In this paper, we determine steady state probability vector π of erogodic block circulant Markov chain using block triangular and skew symmetric method. The homogeneous system πQ = 0 is transformed to the non homogeneous regularised linear system Ax = b, and proved that the matrix A = Q<SUP align="right">T</SUP> + εI is positive definite for ε > 0. The contraction factor α minimises the spectral radius of block iteration matrix of block coefficient matrix A. To improve computing efficiency of the TSS iteration, we employ ITSS iteration. From the numerical results it is clear that the error of TSS iteration method converges rapidly when compared to other existing methods. Keywords: circulant stochastic matrices; steady state probability vector; block triangular matrix; block skew symmetric matrix; TSS method; convergence analysis Citation: International Journal of Computing Science and Mathematics, Vol. 8, No. 4 (2017) pp. 384 - 394 PubDate: 2017-08-16T23:20:50-05:00 DOI: 10.1504/IJCSM.2017.085853 Issue No:Vol. 8, No. 4 (2017)