Showing papers in "Applied Mathematical Modelling in 2012"

TL;DR: A multi-objective fuzzy mathematical programming model is proposed for designing an environmental supply chain under inherent uncertainty of input data in such problem and is able to consider the minimization of multiple environmental impacts beside the traditional cost minimization objective.

TL;DR: In this paper, the shifted Jacobi operational matrix (JOM) of fractional derivatives was derived and applied together with spectral tau method for numerical solution of general linear multi-term fractional differential equations (FDEs).

TL;DR: In this article, a hybrid approach based on Affinity Diagram, AHP and fuzzy TOPSIS for evaluating city logistics initiatives is presented, where four initiatives namely vehicle sizing restrictions, congestion charging schemes, urban distribution center and access timing restrictions are considered.

TL;DR: In this article, a mixed integer program for the carbon-sensitive supply chain that minimizes emissions throughout the supply chain by taking into consideration green procurement also known as environmental sourcing is presented.

TL;DR: In this paper, the free vibration and stability of axially functionally graded tapered Euler-Bernoulli beams were studied through solving the governing differential equations of motion. But, the convergence rate of the conventional differential transform method (DTM) does not necessarily converge to satisfactory results, and a new approach based on DTM called differential transform element method (DTEM) is introduced which considerably improves the convergence of the method.

TL;DR: In this article, numerical simulations are performed for symmetric melting of phase change material between two cylinders in concentric and eccentric arrays using the FLUENT software which is sub-cooled initially to 1°C.

TL;DR: In this paper, the effect of shear deformations on the buckling load of functionally graded micro beams based on modified couple stress theory is analyzed. But the results showed that buckling loads of FG micro beams deviated significantly from classical ones, especially for thin beams.

TL;DR: In this article, the vibrational properties of functionally graded nanocomposite beams reinforced by randomly oriented straight single-walled carbon nanotubes (SWCNTs) under the actions of moving load are investigated.

TL;DR: In this paper, the authors present a new approach for determining weights of experts in the group decision making problems via projection method, where the average decision of all individual decisions is defined as the ideal decision and the weight of expert is determined by the projection of individual decision on the ideal solution.

TL;DR: In this paper, the influence of some influencing parameters, like the mass ratio m∗ or the mechanical damping ζ in the energy conversion factor is investigated, and the analysis reveals that the maximum efficiency of a circular cylinder is principally influenced by the mass-damping parameter m ∗ζ.

TL;DR: In this paper, the effect of longitudinal magnetic field on wave dispersion characteristics of equivalent continuum structure (ECS) of single-walled carbon nanotubes (SWCNT) embedded in elastic medium is studied.

TL;DR: In this paper, a two-phase group decision-making (GDM) approach was proposed to solve the construction project problem under multiple criteria in a fuzzy environment and proposed a new twophase GDM approach integrated a modified analytic network process (ANP) and an improved compromise ranking method, known as VIKOR.

TL;DR: In this article, the authors focused on understanding the flow losses and the resulting flow/pressure dynamics in a piston pump, and presented equations to evaluate leakages in all piston pump gaps and tested against numerical models to determine the general pressure/flow pump dynamic characteristics.

TL;DR: In this paper, a finite element formulation for static, free vibration and buckling analyses of laminated composite plates is presented, which relies on a combination of node-based smoothing discrete shear gap method with the higher-order shear deformation plate theory to give a so-called NS-DSG3 element.

TL;DR: In this paper, a genetic algorithm for solving the capacitated vehicle routing problem is presented, which is mainly characterised by using vehicles of the same capacity based at a central depot that will be optimally routed to supply customers with known demands.

TL;DR: In this paper, the authors employ uncertainty theory to deal with this non-deterministic factor in single facility location problems, and propose the concepts of satisfaction degree for both vertices and the whole network, which are used to evaluate products assignment.

TL;DR: In this article, a new mathematical model for strategic and tactical planning in a multiple-echelon, multiple-commodity production-distribution network is presented, in which different time resolutions are considered for strategic decisions and expansion of the network is planned based on cumulative net incomes.

TL;DR: In this article, an efficient and simple refined theory is presented for buckling analysis of functionally graded plates, which accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors.

TL;DR: In this article, a decision-making method based on weighted geometric aggregation operators was proposed to solve the multiple attribute group decision making problems in which the attribute values take the form of generalized interval-valued trapezoidal fuzzy numbers (GITFN).

TL;DR: In this paper, a numerical scheme based on the Haar wavelet operational matrices of integration for solving linear two-point and multi-point boundary value problems for fractional differential equations is presented.

TL;DR: The scope is to integrate and adapt the Latva-Kokko and Rothman recoloring algorithms for reducing the lattice pinning problem found in the Reis and Phillips model, and to conduct a set of numerical tests to show that the combination of the two algorithms leads to an improvement in the quality of the results, along with a better convergence.

TL;DR: Optimization algorithms coupled with computational fluid dynamics are used for wind turbines airfoils design and artificial neural networks are used as a surrogate model to reduce computational time by almost 50%.

TL;DR: In this paper, the nonlinear governing equation of microbeam based on the strain gradient theory is derived by using a combination of the strain gradients theory and the Hamilton's principle, and the non-linear static bending deformation, the post-bucking problem and nonlinear free vibration are analyzed.

TL;DR: In this paper, the authors developed new linguistic aggregation operators based on the power-average operator, such as the linguistic power average (LPA) operator, the linguistic weighted PA operator, and the LPOWA operator.

TL;DR: An optimization formulation to design a bike-sharing system for travel inside small communities, or as a means to extend public transport for access and egress trips is presented, providing a new managerial tool for planning and analyzing bike utilization more effectively.

TL;DR: This study first integrates the fuzzy cognitive map (FCM) and fuzzy soft set model for solving the supplier selection problem and considers the dependent and feedback effect among criteria, but also considers the uncertainties on decision making process.

TL;DR: In this article, a nonlinear governing equation for the functionally graded material beam with two clamped ends and surface-bonded piezoelectric actuators is derived by the Hamilton's principle.

TL;DR: Based on the grey system theory and methods, the grey-target decision-making problem is discussed, in which the attribute values are grey numbers and the maximum probability of the value of grey number is known.

TL;DR: In this paper, the influence of heat and chemical reactions on blood flow through anisotropic tapered elastic artery with time-variant overlapping stenosis was analyzed mathematically by considering it as a Sisko fluid.

TL;DR: In this article, a novel computational method to optimize window design for thermal comfort in naturally ventilated buildings is described by means of a prototype case, which corresponds to a single-room, rural-type building.