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Showing papers in "Applied Mathematical Modelling in 2003"


Journal ArticleDOI
TL;DR: In this paper, an EOQ model for deteriorating items is proposed, in which the supplier provides a permissible delay to the purchaser if the order quantity is greater than or equal to a predetermined quantity.

270 citations


Journal ArticleDOI
TL;DR: The indirect radial basis function network (IRBFN) approximation allows the filtering of noise arisen from the interpolation of the original function from a discrete set of data points and produces a greatly improved approximation of its derivatives.

213 citations


Journal ArticleDOI
TL;DR: In this article, a procedure is given that can easily assure the quality of numerical results by obtaining the residual at each point, which can be applied over general or irregular clouds of points.

131 citations


Journal ArticleDOI
TL;DR: In this article, a method based on the Tau method with arbitrary bases is developed to find the numerical solution of Fredholm integro-differential equations; the differential part appearing in the equation is replaced by its operational Tau representation.

103 citations


Journal ArticleDOI
TL;DR: In this article, a non-linear k-e model is implemented to better account for the production of turbulent kinetic energy and the anisotropic nature of the turbulence, and results are discussed for different turbulence models and for the comparison of computed results with the measurements from full scale.

93 citations


Journal ArticleDOI
TL;DR: In this paper, a vertex-based finite volume (FV) method for dynamic solid mechanics is presented, where a Newmark predictor-corrector implicit scheme is used to provide time accurate solutions to a 3D cantilever problem.

91 citations


Journal ArticleDOI
TL;DR: In this paper, a simplified analytical model was proposed to predict the solid-liquid interface location and temperature distribution of the fin in the solidification process with a constant end-wall temperature in the finned two-dimensional PCM storage.

91 citations


Journal ArticleDOI
TL;DR: It is interesting to note that the lagged or delayed variables obtained from the BJ approach and used in neural networks provide a better ANN model than the one obtained either blindly in blackbox mode as has been suggested or from traditional known methods.

73 citations


Journal ArticleDOI
TL;DR: In this paper, a mathematical model based on the finite element method and the Scheil additivity rule is presented for predicting the temperature distribution and phase transformation behavior on the run-out table during the hot strip rolling of a low carbon steel.

65 citations


Journal ArticleDOI
TL;DR: In this paper, a numerical method for solving time varying linear quadratic optimal control problems with inequality constraints is presented, which is based upon hybrid functions approximations, consisting of block-pulse functions and Legendre polynomials.

64 citations


Journal ArticleDOI
TL;DR: In this article, the mean time to system failure of a repairable system with m operating units, w warm standby units and R repairmen in which units balking and reneging are considered.

Journal ArticleDOI
TL;DR: In this paper, a mathematical model for the control of the development and growth of a healing unit is presented, which is based on diffusion equations that relate the production of macrophage-derived growth factors (MDGFs) to oxygen availability, the capillary density growth to MDGF production and concentration, and the oxygen concentration to the growth of capillary densities.

Journal ArticleDOI
TL;DR: An analysis of the computational results has confirmed that the NARMAX model and the NN method are superior to the ARMAXmodel and the RELS method in forecasting future machining errors, as indicated by its higher combined coefficient of efficiency.

Journal ArticleDOI
TL;DR: In this article, an error back propagation (BP) parameter estimation algorithm is derived for a class of non-linear dynamic rational models by combining an orthogonal correlation test algorithm, the BP based parameter estimator provides an alternative for the model structure detection.

Journal ArticleDOI
TL;DR: In this article, the problem of derivative information estimation for the on-line optimization control problem has been widely recognized and methods and techniques for the estimation of these derivatives, to be used within the well-known integrated system optimization and parameter estimation algorithm have been investigated.

Journal ArticleDOI
TL;DR: In this article, a macroscopic numerical model for the thermomechanical conditions during hydration of early-age concrete is presented, where the heat production from the hydration process is expressed in terms of the maturity and the thermal activation is expressed by the Arrhenius principle.

Journal ArticleDOI
TL;DR: In this article, the relationship between the findings of the two models allowing shear deformation results to be obtained from the results of classical thin theories are displayed without using any shear correction factors.

Journal ArticleDOI
TL;DR: The approach to model autocorrelation functions of real-traffic traces in communication networks is presented based on optimal approximation in Hilbert space and the verifications are carried out with the real-Traffic traces.

Journal ArticleDOI
TL;DR: In this article, the authors used the Vehsim2d/LFOPC simulation code to optimise the damper characteristics of an existing 22 ton three axle vehicle, over a typical terrain and at a representative speed.

Journal ArticleDOI
TL;DR: In this article, a two-dimensional multi-body vehicle dynamics simulation model is linked to a mathematical optimisation algorithm in order to enable the optimisation of vehicle design parameters through the minimisation of a well defined objective function.

Journal ArticleDOI
TL;DR: A closed form for the total relevant cost as well as a rigorous mathematical method that leads to a minimum total cost of the underlying inventory system are introduced.

Journal ArticleDOI
TL;DR: In this paper, the optimal control of an M/G/1 queue with two types of generally distributed random vacation: type 1 (long) and type 2 (short) vacations is considered.

Journal ArticleDOI
TL;DR: In this paper, an improved model for predicting diametral errors in turning cantilever multi-diameter bars is presented, in which the part holder stiffnesses are directly included and shear deformation effect is taken into account.

Journal ArticleDOI
TL;DR: In this paper, analytical models are proposed to assess the performance and cost effectiveness of rail guided systems based on key system design variables including the number, depth and height of storage aisles and the vehicle and lift fleet sizes.

Journal ArticleDOI
TL;DR: This study considers M/G/1 system adopting N-Policy and T-Policy simultaneously simultaneously, and finds the probability distribution of the number of customers and mean waiting time in steady state and derive a cost function.

Journal ArticleDOI
TL;DR: In this paper, the authors derived the complete set of three-dimensional interfacial elastostatic Green's functions in anisotropic bimaterials, including displacements, stresses, and their derivatives with respect to the source coordinates.

Journal ArticleDOI
TL;DR: In this article, the small parameter approach and the method of effective moduli are presented for the bending response of a fiber-reinforced viscoelastic arched bridge model.

Journal ArticleDOI
TL;DR: In this paper, a non-linear integral equation for the radiating surface temperature is derived by the Laplace transform and solved numerically, and the results show that the present method solves the problem accurately.

Journal ArticleDOI
TL;DR: A modification of the kinterchange heuristic used in combinatorial optimization, can be applied either as a tour construction heuristic, or as an improvement for order-picking procedures for warehouse environment with parallel aisles of equal length or with rectangular racks as discussed by the authors.

Journal ArticleDOI
TL;DR: In this article, the influence of temperature dependent viscosity and thermal conductivity on the transient Hartmann flow with heat transfer is studied, where an external uniform magnetic field is applied perpendicular to the parallel plates and the Hall effect is taken into consideration.