Showing papers in "Applied Mathematical Modelling in 2015"

TL;DR: In this article, a hyperbolic shear deformation theory applicable to bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates is presented.

TL;DR: A review of the problems and successes of computing turbulent flow can be found in this paper, where the authors provide the interested reader with most of the appropriate sources of turbulence modelling, exhibiting either as much detail as it is possible, by means of bibliography, or illustrating some of the most recent developments on the numerical modelling of turbulent flows.

TL;DR: In this article, the effects of variable surface heat flux and first-order chemical reaction on MHD flow and radiation heat transfer of nanofluids against a flat plate in porous medium were investigated.

TL;DR: In this article, the authors proposed a new and effective solution methodology to solve various sizes of instances in a closed-loop supply chain network optimization process, where both design and planning decision variables (location and allocation) are considered in the proposed network and two popular meta-heuristic algorithms are considered to develop a new elevated hybrid algorithm: the genetic algorithm and particle swarm optimization (PSO).

TL;DR: In this paper, a mathematical model for assessing sustainability in the supply chain is proposed, based on the notion that a probabilistic representation of sustainability can realistically account for its challenges and the development of the proposed model was guided by the need for ease of use, simplicity, and the ability to quickly provide feedback on the sustainability status of supply chains over time.

TL;DR: In this article, an advanced Kriging method is proposed to balance the accuracy and efficiency of implementing reliability analysis, which is used to evaluate the structural reliability of finite element models.

TL;DR: In this article, the authors present two models that consider energy used for production along with the greenhouse gases (GHG) emissions from production and transportation operations in a single-vendor (manufacturer) single-buyer system under a multi-level emission-taxing scheme.

TL;DR: In this article, an adaptive Neuro-Fuzzy Inference System with fuzzy c-means clustering (FCM-ANFIS) was employed to design the thermal prediction model.

TL;DR: In this article, two variational principles fitted to the numerical manifold method (NMM) are formulated, each of which enforces the boundary conditions and the material interface continuity conditions.

TL;DR: Based on a new lexicographic ordering on triangular fuzzy numbers, a novel algorithm is proposed to solve the FFLP problem by converting it to its equivalent a multi-objective linear programming (MOLP) problem and then it is solved by the lexicography method.

TL;DR: The proposed method inherits the superiorities of Kriging metamodel, adaptive importance sampling and active learning mechanism, and enables only evaluating the interested samples in actual performance function, and the calculating efficiency is increased significantly.

TL;DR: In this paper, a fuzzy multiple-objective network optimization model was proposed to obtain the best profit values and to satisfy the environmental indicator targets in a more holistic manner while also considering environmental issues.

TL;DR: In this article, a two-dimensional Kortewegde-de Vries (KdV) model was derived and transformed into bilinear form by symbolic computation.

TL;DR: The proposed scheme is evaluated on two initial value problems of the Riccati fractional order equation with integer and non-integer derivatives and is validated using results of statistical analysis based on a sufficiently large number of independent runs.

TL;DR: A new multi-choice goal programming (MCGP) approach is proposed that provides the decision makers with more control over their preferences and is effective at solving the supplier selection problem.

TL;DR: In this article, an economic order quantity inventory model of multi-items in a two-layer supply chain where demand is sensitive to promotional effort is proposed, where the supplier offers a delay period to the retailer for paying the outstanding amount of the purchasing cost for the finished products.

TL;DR: In this paper, complex dynamics of a classical discrete-time predator-prey system are investigated and robust results on the existence and stability of fixed points of this system are derived.

TL;DR: A mathematical model is developed that estimates the human error rate while performing an assembly job under the influence of learning–forgetting and fatigue–recovery and is able to dynamically measure the humanerror rate and reliability with time.

TL;DR: Based on the strain gradient elasticity theory and a refined shear deformation theory, an efficient size-dependent plate model was developed to analyze the bending, buckling and free vibration problems of functionally graded microplates resting on elastic foundation as discussed by the authors.

TL;DR: In this article, the static and dynamic behavior of carbon nanotube-reinforced composite plates resting on the Pasternak elastic foundation including shear layer and Winkler springs is investigated.

TL;DR: In this paper, a mixed integer linear programming model is proposed to make strategic as well as tactical decisions in a blood collection system over a multi-period planning horizon, where a robust possibilistic programming approach is applied to cope with the inherent epistemic uncertainty of the model's parameters.

TL;DR: In this paper, the authors proposed a new method for obtaining a reduced order model of high order linear time-invariant single input-single output (SISO) and multiple input-multiple output (MIMO) systems, which is based on the stability equation method and factor division algorithm.

TL;DR: In this paper, the authors proposed a mathematical model for the study of the dynamical behavior of suspension bridges which provides a new explanation for the appearance of torsional oscillations during the Tacoma collapse.

TL;DR: Probability and convex set hybrid reliability analysis (HRA) is investigated and it is figured out that a surrogate model only rightly predicting the sign of the performance function can meet the demand of HRA in accuracy.

TL;DR: In this paper, the vibration of axially functionally graded material (AFGM) nanobeam is investigated by using strain gradient theory and differential quadrature method (DQM) is used to discretize equations of motion and solve the vibrational problem with simple and clamped-clamped boundary conditions.

TL;DR: In this article, the authors studied a problem in fractional order theory of thermoelastic diffusion in an infinite medium with a spherical cavity at an elevated temperature field arising out of a ramp-type heating and loading bounding surface of the cavity.

TL;DR: Comparison with other classical reinitialization methods, such as Hamilton–Jacobi formulations, proves that the proposed method guarantees optimal accuracy together with importantly reduced computational costs.

TL;DR: In this paper, the authors apply the truncated Bessel series approximation by using collocation scheme, for solving linear and nonlinear fractional optimal control problems (OCPs) indirectly, the necessary and sufficient optimality conditions are stated in a form of nonlinear (or linear) fractional two-point boundary value problem (TPBVP).

TL;DR: In this paper, an integrated numerical model FSSI-CAS 2D (previously known as POROWSSI 2D) is developed for the problem of wave-elasto-plastic seabed-structure interactions, where the Volume Average Reynolds Average Navier-Stokes (VARANS) equation is taken as the governing equation for wave motion and porous flow in porous medium; the dynamic Biot's equation known as u-p is taken for the dynamics of porous soil under wave loading.

TL;DR: In this article, the numerical treatment of a class of singularly perturbed delay boundary value problems with a left layer based on the reproducing kernel theory has been studied and the error estimate of the present method is established.