Showing papers in "Applied Mathematical Modelling in 2019"

TL;DR: Two novel effective strategies composed of Levy flight and chaotic local search are synchronously introduced into the whale optimization algorithm to guide the swarm and further promote the harmony between the inclusive exploratory and neighborhood-informed capacities of the conventional technique.

TL;DR: A mathematical model that includes the buyers' total cost and the vendor's TC in an SC under penalty, green, and quality control policies and a VMI-CS agreement and has real stochastic constraints is provided.

TL;DR: A novel complete sampling-interval-dependent looped function is proposed, which depends not only on the interval from x(t) to x(tk) but also on the timing of the sampling period, ensuring the considered system strictly ( Q, S, R ) − γ -dissipative.

TL;DR: In this article, a new multivariable grey prediction model was proposed by adding a dependent variable lag term, a linear correction term and a random disturbance term to the traditional GM(1,N) model.

TL;DR: A novel fractional discrete multivariate grey model based on discrete modelling technique is proposed, which is proved to be an unbiased model with mathematical analysis and stochastic testing and shows that the proposed model outperforms other nine models in the all the real world case studies.

TL;DR: The proposed improved Whale Optimization Algorithm (WOA) is significantly better than those basic algorithms including original WOA but also it is superior to compared state-of-the-art approaches.

TL;DR: In this paper, two types of interaction solutions including lump-kink and lump-soliton ones are derived through mixing two positive quadratic functions with an exponential function, or two Positive Quadratic Functions with a hyperbolic cosine function in the bilinear equation.

TL;DR: Data pre-process strategy based on feature extraction is served for reducing the fluctuations of wind power generation and select appropriate input forms of wind speed datasets for the sake of improving the overall performance.

TL;DR: A model for forecasting the motion of a floating platform with satisfactory forecasting accuracy is presented and the proposed chaotic efficient bat algorithm, based on the chaotic, niche search, and evolution mechanisms, is used to optimize the parameters of the hybrid kernel-based support vector regression model.

TL;DR: In this paper, a coordination problem of a three-echelon supply chain system consisting of one supplier, third-party logistics service providers (TPLSP) and one retailer that provides seasonal fresh agricultural products to customers is studied.

TL;DR: This article rigorously proves the unconditional energy stability for the semi-implicit schemes and the fully discrete scheme and compares the SAV, invariant energy quadratization (IEQ), and stabilization approaches.

TL;DR: Based on the nonlocal strain gradient theory and surface elasticity theory, a unified size-dependent plate model is developed for buckling analysis of rectangular nanoplates in this article, which is capable of capturing nonlocal effect, strain gradient effect as well as surface energy effects simultaneously.

TL;DR: A method for constructing new high dimensional conservative chaotic systems, for instance 4 dimensionalconservative chaotic systems and 5 dimensional conservative hyper-chaotic systems are proposed, which passed the validation National Institute of Standard Statistic Test criteria for the pseudo-random property, which is the critical factor of security communication.

TL;DR: In this paper, the authors established a susceptible-infected-susceptible (SIS) epidemic model with nonlinear incidence rate and time delay on complex networks and compared four different control strategies.

TL;DR: In this paper, a nonlinear in-plane buckling analysis for fixed shallow functionally graded (FG) graphene reinforced composite arches which are subjected to uniform radial load and temperature field is presented, and the analytical solutions for the limit point and bifurcation buckling loads are obtained.

TL;DR: An improved unscented Kalman filter approach is proposed to enhance online state of charge estimation in terms of both accuracy and robustness, and it is revealed that the proposed approach’s estimation error is less than 1.79% with acceptable robustness and time complexity.

TL;DR: In this paper, a new numerical method for the solution of the linear and nonlinear distributed fractional differential equations is introduced, which is based upon Legendre wavelets approximations.

TL;DR: The results showed that higher collection rates of used items reduce the supply chain costs and improves its environmental performance.

TL;DR: In this article, a force model for the inter-shaft bearing with a local defect on the surface of the outer race or the inner race, and the nonlinear dynamic characteristics of a dual-rotor system affected by the local defect are investigated.

TL;DR: In this article, the buckling and free vibration behavior of a piezoelectric rotating cylindrical carbon nanotube-reinforced (CNTRC) shell is investigated.

TL;DR: In this article, the Gurtin-Murdoch elasticity theory is adopted to the classical beam theory in order to consider the surface Lame constants, surface mass density, and residual surface stress within the differential equations of motion.

TL;DR: In this paper, the authors examined the nonlinear stability and free vibration features of GPL-GPLRPC rectangular plates under compressive in-plane mechanical loads in pre/post buckling regimes.

TL;DR: In this article, the authors presented an analytical study that predicts the low-velocity impact response of a spinning functionally graded (FG) graphene reinforced cylindrical shell subjected to impact, external axial and thermal loads.

TL;DR: This work proposes a novel low-rank tensor completion model using smooth matrix factorization (SMF-LRTC), which exploits the piecewise smoothness prior along all modes of the underlying tensor by introducing smoothness constraints on the factor matrices.

TL;DR: Results show that the main frequency band based on the computational method is a sensitive, accurate and efficient frequency parameter; it can accurately describe the frequency characteristics of blasting signals and effectively overcome the drawbacks in Fourier transform.

TL;DR: It is demonstrated that considering merely one objective sacrifices the other one and that the L1 metric method makes a suitable trade-off, and the freshness of the delivered products increases by 74.14% on average without increasing the distribution cost, which can decrease the waste.

TL;DR: In this paper, an elastic-plastic fracture mechanics (EPFM) method is used to study short crack fatigue life by considering the cumulative damage rule of crack initiation life, and the calculation model of fatigue crack initiation size caused by symmetric cyclic torsional alternating stress is established under low strain.

TL;DR: Numerical examples are studied to validate the proposed good lattice point method based partially stratified sampling, which indicate the proposed method is of accuracy and efficiency for high-dimensional reliability analysis.

TL;DR: In this article, a general propagation lattice Boltzmann model for a variable-coefficient compound Korteweg-de Vries-Burgers (vc-cKdVB) equation is investigated through selecting equilibrium distribution function and adding a compensation function, which can provide some more realistic models than their constant coefficient counterparts in fluids or plasmas.

TL;DR: In this article, a unified nonlocal strain gradient beam model with the thickness effect was developed to investigate the static bending behavior of micro/nano-scale porous beams, where size-dependent governing equations and corresponding analytical solutions for the bending of hinged-hinged beams were obtained by employing minimum total potential energy principle, the Navier solution method as well as the variational-consistent boundary conditions.