Showing papers in "Applied Mathematical Modelling in 2009"

TL;DR: In this article, the authors extend the VIKOR method for decision making problems with interval number and propose a ranking index based on the particular measure of "closeness" to the ideal solution.

TL;DR: This paper modifies the algorithm of GM(1, 1) model to enhance the tendency catching ability and proposes a novel discrete grey forecasting model termed DGM model and a series of optimized models of DGM.

TL;DR: In this article, an implicit pressure-based finite volume method is used for time-accurate computation of incompressible flow using second order accurate convective flux discretisation schemes, which is validated against measurement data for mean surface pressure, skin friction coefficients, the size and strength of the recirculating wake for the steady flow regime and also for the Strouhal frequency of vortex shedding and the mean and RMS amplitude of the fluctuating aerodynamic coefficients for the unsteady periodic flow regime.

TL;DR: The empirical results indicate that the SVR model with IA (SVRIA) results in better forecasting performance than the other methods, namely SVMG, regression model, and ANN model.

TL;DR: The concept of the symmetric triangular fuzzy number is used and an approach to defuzzify a general fuzzy quantity is introduced and the FFLP transform to multi objective linear programming (MOLP) where all variables and parameters are crisp.

TL;DR: In this article, the authors presented a numerical study of a latent heat storage unit (LHSU) consisting of a shell-and-tube, where the shell space is filled with two phase change materials (PCMs), P116 and n -octadecane, with different melting temperatures (50°C and 27.7°C, respectively).

TL;DR: In this article, the authors highlight the development of a comprehensive mathematical model for correlating the interactive and higher order influences of various electrical discharge machining parameters through response surface methodology (RSM), utilizing relevant experimental data as obtained through experimentation.

TL;DR: In this paper, the authors examined some practical numerical methods to solve a class of initial-boundary value problems for the fractional Fokker-Planck equation on a finite domain.

TL;DR: In this article, an integration of analytical hierarchy process and non-linear integer and multi-objective programming under some constraints such as quantity discounts, capacity, and budget is applied to determine the best suppliers and to place the optimal order quantities among them.

TL;DR: In this article, the authors investigate the issue of channel coordination for a supply chain facing stochastic demand that is sensitive to both sales effort and retail price and find that only the properly designed returns policy with SRP contract is able to achieve channel coordination and lead to a Pareto improving win-win situation for supply chain members.

TL;DR: In this paper, the authors define a new convexity assumption when data includes a ratio variable, and propose a series of modified DEA models which are capable of rectifying this problem.

TL;DR: This paper presents two simplified models derived from the set of partial differential equations governing the dynamics of the process, including the inclination term, neglected in most related papers.

TL;DR: In this article, the authors proposed a fuzzy linear programming model to determine the fulfillment levels of PC under the requirement to achieve the determined contribution levels of DRs for customer satisfaction, considering the design risk, which is treated as the constraint in the models.

TL;DR: In this paper, the authors suggest a comprehensive decision method for identifying top suppliers by considering the effects of interdependence among the selection criteria, as well as to achieve optimal allocation of orders among the selected suppliers.

TL;DR: A stochastic programming model is introduced to address the air freight hub location and flight routes planning under seasonal demand variations and the real data based on theAir freight market in Taiwan and China is used to test the proposed model.

TL;DR: In this paper, the authors present a review of the extended finite element method X-FEM for computational fracture mechanics, and discuss the basic ideas and formulation for the newly developed XFEM method.

TL;DR: In this article, a mathematical analysis of MHD flow and heat transfer to a laminar liquid film from a horizontal stretching surface is presented with the aid of similarity transformation, which enables to reduce the unsteady boundary layer equations to a system of non-linear ordinary differential equations.

TL;DR: In this article, an inventory model for an item is developed in a stochastic environment with price-dependent demand over a finite time horizon, and a closed form solution to maximize the expected average profit is obtained when demand is constant.

TL;DR: In this paper, the elastic buckling of stiffened cylindrical shells by rings and stringers made of functionally graded materials subjected to axial compression loading was studied and the results showed that the inhomogeneity parameter and geometry of shell significantly affect the critical buckling loads.

TL;DR: In this paper, the authors discuss the bioeconomic harvesting of a prey-predator fishery in which both the species are infected by some toxicants released by some other species.

TL;DR: In this paper, an incompressible and magnetohydrodynamic (MHD) viscous fluid is taken in an asymmetrical channel to describe the heat transfer on the peristaltic motion in a porous space.

TL;DR: In this article, an existing crowd modelling program, CrowdDMX, based on a discrete element model (DEM) has been modified on the basis of observations made in this paper and literature.

TL;DR: In this article, a new approach for solving accurate approximate analytical higher-order solutions for strong nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force is presented.

TL;DR: In this article, a new intelligent displacement back analysis method is proposed in which the combination of support vector machine, particle swarm optimization, and numerical analysis techniques is used to identify geomechanical parameters.

TL;DR: In this paper, the performance of a new type of flow energy harvester based on oscillating foils is investigated through numerical modeling by using two methods, a 2D thin-plate model and a 3D nonlinear boundary-element model.

TL;DR: In this article, an efficient collocation method is proposed for solving non-local parabolic partial differential equations using radial basis functions, and the results are compared with some existing methods.

TL;DR: It is concluded that in settings where public health educational campaigns of HIV/AIDS are effective and with reasonable average numbers of HIV-infected partners, public health Educational campaigns can slow down the epidemic and are more effective when given to both sexually immature and sexually mature individuals concurrently.

TL;DR: In this article, the shape of velocity, temperature and concentration profiles which are truncated due to small calculation domain used during the numerical solution procedure is criticised, and these truncated profiles are not compatible with the boundary layer theory and introduce errors in wall shear stress and wall heat transfer values.

TL;DR: In this article, a weak form quadrature element method is proposed and applied to analysis of plane elasticity problems, which is shown to be robust against volumetric locking.

TL;DR: In this paper, the analytical solutions corresponding to two types of unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative between two parallel plates are presented.