International Journal of Industrial Mathematics
Volume:5 Issue: 3, Summer 2013

This article deals with the use of an appropriate model in determining the induced current distribution on nite-width strip electromagnetic scatterer. For this purpose, electric eld integral equation (EFIE) as a mathematical model is surveyed and used for modeling of the problem. An appropriate numerical method is then proposed to obtain the approximate numerical results for the EFIE. The results are given in both TM and TE polarizations.

One of the main challenges in Irans auto industry is goal setting in various functional domains. Managing costs of supply chains requires recognition of cost drivers and mathematical modeling for target setting. Realization of the main elements of supply chains and setting logical relations among variables and parameters in the form of a mathematical model are of the main purposes of this research paper. The main question is how it is possible to bring con ict goals of a supply chain together in a mathematical model with the help of goal programming. The relations among 10 au (1)1to part suppliers, 1 warehouse, 3 auto manufacturing plants and 3 agencies are investigated in this study. After collecting data of model parameters, model is solved through application of LINGO software and the following results are revealed. The positive goal deviation of the rst objective is equal to 2500 million Rials. The negative goal deviation of the second objective is equal to 1750 million Rials. The positive goal deviation of the third objective is 1250 million Rials.

As regards of the necessity of ranking ecient units dierent Data Envelopment Analysis (DEA) models are introduced. Each of the existing models has advantages and deals with ranking ecient units from special aspects. But, there exist no model has all these bene ts in a uni ed manner. The aim of this paper is to present a new ranking method which can incorporate, to a great extent, advantages of various ranking models. In doing so a Multiple Criteria Decision Making (MCDM) technique utilized. For demonstration of the presented method an application of this new method in banking system is provided.

Fuzzy integral equations play major roles in various areas, therefore a new method for finding a solution of the Fredholm fuzzy integral equation is presented. This method converts the fuzzy integral equation into linear system by using the Taylor series. For this scope, first the Taylor expansion of unknown function is substituted in parametric form of the given equation. Then we differentiate both sides of the resulting integral equation and also approximate the Taylor expansion by a suitable truncation limit. This work yields a linear system in crisp case. Now the solution of this system yields unknown Taylor coefficients of the solution functions. The proposed method is illustrated by several examples with computer simulations.

There are some situations in the real word which can not be modeled by the proposed method until now, to get rid of this diculty, the concept of Fuzzy Dierential Inclusion (FDI) is introduced and then an extension of dierential transformation method for solving it is given by de ning a fuzzy partition. Proposed algorithms are illustrated by numerical example.

In this paper, a new approach for solving rst-order fuzzy dierential equation (FDE) with fuzzy initial value under strongly generalized H-dierentiability is considered. The idea of the presented approach is constructed based on the extending 0-cut and 1-cut solution of original FDE. First, under H-dierentiability the solutions of fuzzy dierential equations in 0-cut and 1-cut cases are found and convex combination of them, is considered. Then we choose the initial interval that 0-cut of original problem is positive. The obtained convex combination on this interval is the solution of FDE.

The edge and total versions of geometric-arithmetic (GA) index of graphs are introduced based onthe end-vertex degrees of edges of their line and total graphs, respectively. In this paper, the edgeand total GA indices are computed for some graphs by using some results on GA index and graphs.