Showing papers in "Applied Mathematical Modelling in 2016"

TL;DR: In this paper, a review aimed at directing the light to research work concerned with bending, buckling, vibrations, and wave propagation of nanobeams modeled according to the nonlocal elasticity theory of Eringen.

TL;DR: This work proposes a new metaheuristic optimization algorithm called “passing vehicle search (PVS),” which considers the mathematics of vehicle passing on a two-lane highway and investigates the performance of PVS with various challenging engineering design optimization problems.

TL;DR: In this paper, a review of the literature on the modeling of reverse logistics inventory systems that are based on the economic order/production quantity (EOQ/EPQ) and the joint economic lot size (JELS) settings is presented.

TL;DR: An enhanced version of the ELECTRE method, called ELECTRE III, is extended under the interval-valued intuitionistic fuzzy environment and the application of the proposed method is illustrated by the solution of an investment project selection problem.

TL;DR: The results from three groups of data modeling show that, compared with other classical grey models, FGM(q, 1) has higher modeling precision, can overcome the GM(1,1) model class ratio test restrictions and has a wider adaptability.

TL;DR: In this article, the authors consider a dual-channel supply chain where a manufacturer with a direct channel acts as the leader and a retailer is the follower, and they show that the entire supply chain cannot be coordinated with a constant wholesale price when the retailer provides value-added services and has fairness concerns.

TL;DR: Smoothed particle hydrodynamics (SPH) is a mesh-free, Lagrangian particle method, which is advantageous over conventional grid-based numerical methods in the aspect of interface treatment as discussed by the authors.

TL;DR: In this paper, exact traveling wave solutions of the Bogoyavlenskii equation using a modified extended tanh-function method were considered. But their method has a broad applicability to many other nonlinear evolution equations in mathematical physics.

TL;DR: Five modified Chaos-enhanced Cuckoo search (CCS) optimization algorithms are proposed, in which chaotic sequences are utilized to enhance initialized host nest location, change step size of L e ´ vy flight and reset the location of host nest beyond the boundary.

TL;DR: Based on the space-time spectral method, a high-order scheme is proposed in this paper, where the Legendre polynomials are adopted in temporal discretization and the Fourier-like basis functions are constructed for spatial discretisation.

TL;DR: In this paper, the influence of critical FDM parameters (layer thickness, air gap, raster angle, build orientation, road width, and number of contours) on build time, feedstock material consumption and dynamic flexural modulus are critically examined.

TL;DR: It is found that the proposed surrogate model combined with MCS can achieve accurate system failure probability evaluation using fewer deterministic slope stability analyzes than other approaches.

TL;DR: In this paper, the authors considered a more realistic situation where the deterioration rate of a product gradually increases as the expiration date approaches and provided an optimal cycle time and the cycle fraction of no shortages as decision variables that minimize the total cost.

TL;DR: A novel finite frequency approach is proposed to design an H − / H ∞ fault detection filter for the SPVMJSs, and a simulation example on the networked control system is presented to illustrate the effectiveness of the proposed method.

TL;DR: Different novel robust flexible programming and robust mixed possibilistic-flexible programming models are proposed and a real-life problem is employed to show the efficiency and practicability of the propounded models against the traditional fuzzy programming approach.

TL;DR: In this article, a three-level relief chain model consisting of suppliers, relief distribution centers, and affected areas is considered, where the uncertainty associated with demand, supply, and all of the cost parameters is addressed by employing robust optimization.

TL;DR: In this article, the authors investigated the effect of adopting a dual-channel (comprised of a traditional retail channel and a direct online channel) on the performance of a two-level supply chain (manufacturer-retailer).

TL;DR: In this article, the authors extend the multi-depot vehicle routing problem with time windows (MDVRPTW), a practical and challenging problem in logistics and supply chain management, to a study of service vehicles used for delivery and installation of electronics.

TL;DR: In this article, the authors deal with the application of fractional derivatives in the modeling of electrical circuits RC, RL, RLC, power electronic devices and nonlinear loads, the equations are obtained by replacing the time derivative by fractional derivative of type Riemann-Liouville, Grunwald-Letnikov, Liouville-Caputo and the fractional definition recently introduced by Caputo and Fabrizio.

TL;DR: In this paper, the authors proposed shifted fractional-order Jacobi orthogonal functions (SFJFs) based on the definition of the classical Jacobi polynomials.

TL;DR: In this article, homotopy perturbation method (HPM) is applied to solve fractional partial differential equations (PDEs) with proportional delay in t and shrinking in x.

TL;DR: A multi-objective stochastic programming model for developing an earthquake response plan, which integrates pre-and post-disaster decisions, is proposed and a new multi-Objective particle swarm optimization (MOPSO) algorithm is developed to solve this model.

TL;DR: In this paper, a linear implicit finite difference scheme for solving the generalized time fractional burgers equation is proposed, which is shown to be globally stable and convergent, and the finite difference method is proved to be unconditional globally stable.

TL;DR: In this article, a closed-loop supply chain (CLSC) system consisting of an original manufacturer, third-party remanufacturer, and retailer is considered, where newly manufactured and remanufactured products are sold together in the same market at different prices, and the demand for the two types of product is sensitive to their retail prices.

TL;DR: The modelling and forecasting results as applied to China's industrial energy consumption show that the optimized grey multivariable model exhibits a higher accuracy than GMC, SARMA and GM(1, 1).

TL;DR: In this paper, a new fractional order hyperchaotic system is introduced and the existence and uniqueness of the solution to the proposed system is proved and the stability of the equilibrium points and the continuous dependence of the system's solution on the initial conditions.

TL;DR: A mixed integer nonlinear programming model is proposed to determine the optimal inventory policy for the stages in the supply chain and allocation of orders among the suppliers at the initial stage and the advantages of using an integrated approach versus a sequential approach for inventory replenishment and supplier selection decisions are shown.

TL;DR: A novel HIV/AIDS epidemic model in which a new compartment, that is, treatment compartment T, is introduced is introduced, and the global dynamics of this model are determined by the basic reproduction number R 0.

TL;DR: In this paper, an interval comparison matrix is proposed to calculate aggregate preference as an index to find the interval maximal objective reference point vector and rank the assessment values of the interval weighted ratio system and the full multiplicative form.

TL;DR: In this article, a robust optimization approach is developed for a new integrated mixed-integer linear programming (MILP) model to solve a dynamic cellular manufacturing system (DCMS) with unreliable machines and a production planning problem simultaneously.