International Journal of Industrial Mathematics
Volume:1 Issue: 2, Spring 2009

A model of the equations of two-dimensional problems is studied in a half space, whosesurface in a medium free of micropolar thermoelastic possesses cubic symmetry as a resultof inclined load. There acts an initial magnetic eld parallel to the plane boundary of thehalf-space. The inclined load is assumed to be a linear combination of a normal load anda tangential load. The formulation is performed in the context of the Lord-Shulman andGreen-Lindsay theories, as well as the classical dynamical coupled theory. Comparisonsare made with the results in the presence of a magnetic.

In this paper, the fuzzy partial dierential equation is investigated by using the stronglygeneralized dierentiability concept. The alternating direction implicit(ADI) method isproposed for approximating the solution of the two-dimensional heat equation where theinitial and boundary conditions are fuzzy numbers. The algorithm is illustrated by solvingseveral examples.

A new model of the equations of generalized thermoelasticiy for a material of the cylinderwhich is supposed to be homogeneous isotropic thermally conducting is given. Theformulation is applied in the context of Green and Naghdi (GN) theory of types II andIII under the eect of rotation. The problem has been solved numerically using a niteelement method. Numerical results for the temperature distribution, displacement, radialstress, and hoop stress are represented graphically. The results indicate that the eectof rotation was very pronounced. Comparisons are made with the results predicted bythe types II and III in the presence and absence of rotation. The results obtained in thispaper can be used to design various homogeneous thermoelastic elements under thermalload to meet special engineering requirements.

A practical direct method to compute numerical solutions of the linear Volterra and Fredholm integral equations system is proposed. This approach is based on vector forms oftriangular functions and its operational matrices and without any integration reduces anintegral equations system to a system of algebraic equations. Numerical results of someexamples show that the method is practical and has high accuracy.

In this paper, we study the numerical solution of hybrid fuzzy dierential equations byusing the improved predictor-corrector (IPC) three step method. We state the convergence and stability of this method. Numerical examples will be presented to illustrate this method.

In this paper, the researcher proposes a modied new method to rank L-R fuzzy numbers.The modied method uses a defuzzication of parametrically represented fuzzy numbersthat have been studied in [20]. This parameterized defuzzication can be used as a crispapproximation with respect to a fuzzy quantity. In this article, the researcher uses thisdefuzzication for ordering fuzzy numbers. The modied method can eectively rankvarious fuzzy numbers and their images and overcome the shortcomings of the previoustechniques. This study also uses some comparative examples to illustrate the advantagesof the proposed method.

In the pharmaceutical industry, a great number of products are in the form of particulatesolids. Since the mid-1980s, a new method of powder generation has appeared involvingcrystallisation with supercritical uids (SCF). The rapid expansion of supercritical solutions (RESS) is a promising new process for the production of small and uniform particles.Several variables can in uence the RESS process: the nozzle temperature, preexpansionpressure, the nozzle diameter, and geometry. In this work, a two-dimensional Lagrange interpolation method has been proposed to describe the size of nanoparticle forming through the rapid expansion of supercritical solutions, as a function of preexpansion pressure and nozzle temperature.

The current paper presents a mathematical programming model for use to the measure ofeciency where multiple performance measures are needed to examine the performanceand productivity changes. In many applications of data envelopment analysis (DEA),the existing models are designed to obtain a single eciency measure. However, in manyreal situations, the units under consideration may perform several dierent functions orcan be separated into dierent components. In these cases, some inputs are often shared among those components and all components are involved in producing some outputs and all components have exclusive inputs and outputs. Therefore, measuring the eciency of each component and measuring the aggregated eciency of each unit are important. In this paper, car factorie's eciency is analyzed using data from 19 car factories in Iran.First, a DEA-eciency analysis of multi-component DMUs, which proposed by Cook et alis presented and then by using a "common set of weights (csw)", a new model is proposed to measure the eciency of each component and aggregated eciency of units. One of the most important advantages of this model is that by solving only one linear programming problem all eciency measures may be obtained. Secondly, by grouping the branches according to their organizational designation, their eciency is measured.