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Showing papers in "Applied Mathematical Modelling in 2017"


Journal ArticleDOI
TL;DR: In this paper, an efficient analytical approach based on the q-homotopy analysis transform technique was presented to analyze a fractional model of the vibration equation for large membranes, and the Laplace decomposition technique was also employed to obtain the solution of the fractional-order vibration equation.

177 citations


Journal ArticleDOI
TL;DR: In this paper, the axisymmetric bending of novel functionally graded polymer nanocomposite circular and annular plates reinforced with graphene nanoplatelets (GPLs) whose weight fraction varies continuously and smoothly along the thickness direction was investigated.

138 citations


Journal ArticleDOI
TL;DR: In this article, a fractional-order sliding mode controller (FO SMC) based on an FO exponential switching technique and an FO proportional-integral (PI) switching surface is proposed for robust stabilization of uncertain FO nonlinear systems.

122 citations


Journal ArticleDOI
TL;DR: Wang et al. as mentioned in this paper proposed a data grouping approach based grey modelling method DGGM (1,1) to predict quarterly hydropower production in China, which is used to divide an entire quarterly time series into four groups, each of which contains only time series data within the same quarter.

106 citations


Journal ArticleDOI
TL;DR: In 15 or 10 min traffic flow forecasts, the proposed model shows better performance than the autoregressive moving average model, wavelet neural network model and seasonal discrete grey forecasting model.

105 citations


Journal ArticleDOI
TL;DR: The proposed RBF approximation offers lower memory requirements and better quality of approximation, and a comparison of those is made with respect to the stability and accuracy of computation.

101 citations


Journal ArticleDOI
TL;DR: A mathematical model is proposed for a closed-loop supply chain network by considering global factors, including exchange rates and customs duties, and a solution approach based on fuzzy programming is developed for solving the optimization problem.

100 citations


Journal ArticleDOI
TL;DR: In this paper, the authors proposed an adaptation of the imperialist competitive algorithm hybridized by a simulated annealing-based local search to solve the problem of flexible job-shop scheduling.

100 citations


Journal ArticleDOI
TL;DR: In this paper, a reliability-based optimization model and method are proposed for thermal structure design with random, interval and fuzzy uncertainties in material properties, external loads and boundary conditions, and the eventual safety possibility is derived based on multiple integral, where the cut levels of different fuzzy variables are considered to be independent.

98 citations


Journal ArticleDOI
TL;DR: In this paper, an electro-mechanical shear buckling analysis of piezoelectric nanoplate using modified couple stress theory with various boundary conditions has been conducted.

93 citations


Journal ArticleDOI
TL;DR: In this paper, the imperfection sensitivity of thermal post-buckling behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams subjected to in-plane temperature variation is investigated.

Journal ArticleDOI
TL;DR: A new model that considers not only the imperfect debugging (ID) but also the uncertainty of operating environments based on a non-homogeneous Poisson process (NHPP) and can give a significant improved goodness-of-fit and predictive performance is proposed.

Journal ArticleDOI
TL;DR: In this paper, a variational differential quadrature (VDQ) method is proposed to discretize the energy functional in the structural mechanics, which is based on the accurate and direct discretization of energy functional.

Journal ArticleDOI
TL;DR: In this paper, a finite element formulation of a coupled thermo-mechanical problem in functionally graded metal/ceramic plates is presented, which is applied to the development of a functionally graded two-dimensional plane strain finite element.

Journal ArticleDOI
TL;DR: In this paper, a realistic reliability model for mutually dependent competing failure processes due to degradation and random shocks is presented. And a numerical example of Micro-Electro-Mechanical System (MEMS) is conducted to illustrate the implementation and effectiveness of the proposed model.

Journal ArticleDOI
TL;DR: A new malware epidemic model is proposed, which takes into full account the influence of patch forwarding, and the spectral radii of the patch-forwarding network and the virus-spreading network both have a marked impact on the prevalence of computer virus.

Journal ArticleDOI
TL;DR: In this article, the authors focused on the prediction of thermal buckling and post-buckling behaviors of functionally graded materials (FGM) beams based on Euler-Bernoulli, Timoshenko and various higher-order shear deformation beam theories.

Journal ArticleDOI
TL;DR: In this paper, under a new line search technique, this problem is solved, and it is shown that other methods in the Broyden class also possess this property, and furthermore, the global convergence of the PRP method is established in the case of this line search.

Journal ArticleDOI
TL;DR: A non-convex logDet function is proposed as a smooth approximation for tensor rank instead of the convex tensor nuclear norm and introduced into the low-rank tensor completion problem.

Journal ArticleDOI
TL;DR: A new kernel function derived from orthogonal polynomials is proposed for support vector regression (SVR), based on which the Sobol’ global sensitivity indices can be computed analytically by the coefficients of the surrogate model built by SVR.

Journal ArticleDOI
TL;DR: Simulation results demonstrate that MMACO_R is effective in solving economic emission dispatch in practical power systems and to enhance the searching ability and overcome premature convergence.

Journal ArticleDOI
TL;DR: In this paper, the location set covering problem in an uncertain environment is modeled as an uncertain location set cover problem, which is then solved by using the inverse uncertainty distribution of the covered demand.

Journal ArticleDOI
TL;DR: In this paper, the effect of porosity on free vibration and thermal buckling of micro temperature-dependent FG porous circular plate subjected to a nonlinear thermal load are numerically studied.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the pricing problem of complementary products in a supply chain with two manufacturers and one retailer, one of the two manufacturers uses dual channels including an online channel and a traditional retail channel to sell its product.

Journal ArticleDOI
TL;DR: In this article, the authors investigated the finite volume method (FVM) for a distributed-order space-fractional advection-diffusion (AD) equation.

Journal ArticleDOI
TL;DR: In this paper, a unified numerical analysis model is presented to solve the free vibration of composite laminated doubly-curved shells and panels of revolution with general elastic restraints by using the Fourier-Ritz method.

Journal ArticleDOI
TL;DR: In this article, an efficient approach for quantitative risk assessment of slope failure considering the 2-D spatial variation of soil properties in the limit equilibrium analysis framework is proposed, and an empirical method is developed for the identification of slope key failure modes.

Journal ArticleDOI
TL;DR: In this paper, a unified vibration analysis approach for the four-parameter functionally graded moderately thick doubly-curved shells and panels of revolution with general boundary conditions is presented, where the first-order shear deformation theory is used in this formulation.

Journal ArticleDOI
TL;DR: In this paper, the authors proposed an efficient computer-based simulation method for slope system reliability analysis by decomposing a slope system failure event into a series of scenario failure events representing possible failure scenarios and calculating their occurrence probabilities by a single run of an advanced Monte Carlo simulation (MCS) method, called generalized subset simulation (GSS).

Journal ArticleDOI
TL;DR: In this paper, the authors extended the Newsvendor model considering stock-out-based consumer switching behavior to include the delivery lead time of perishable products in a dual-channel supply chain.