Journal of Operational Research in its Applications
Year:2009 | Volume:6 | Issue:22|Papers Count:9

Intergal equation with singular kernel is the fundamental and important in sciences. In this paper, we try to get singular kernel approximation by using suitable choose of the mesh points. In this way, for obtaining the solution of integral equation, we use orthonormal bases which they are constructed legendre polynomials. The computations are reduced because of  orthonormality and operational matrixes are diagonal. Also the numerical example illustrate a high accuracy of approximation.

This method has a completely iterative scheme that is used for converting quartic equation to a product of quadratic factors. To convert equation, x4 + ax3 + bx2 + cx + d = 0  to a form of (x2 + px + q)(x2 + rx + s)=0  we consider different cases such as d>0, d<0 and other conditions that are introduced under the title of theorems, proofs and then values of p, q, r, s exactly or approximately with a desired by the use of iterative procedure and then we compared this method with methods of Newton's and Bairstow's in terms of Precision of roots and number of the required iterative due to gain roots.

This article addresses resource reallocation among production processes.Proposed model is formalized in the base of Barnum and Gleason model [2]. The objective function minimizes the sum of same kind inputs. This model reallocates resource to all subunits such that DMU allocation efficiency improves and also concerns subunits efficiency. A production function is defined for any output and therefore model is generalized to multiple outputs. Also an application is investigated involving bank area.

In this study, the amount of experience Department of Mathematics, students beliefs about a mathematical group work and how work group interactions and the effect of mathematical problem solving and learning math education students of primary school girls in Ahvaz city has been investigated. In this study, a questionnaire that of validity and reliability was evaluated and approved by the random sample of 130 high school students answers. Replies were estimated in fuzzy theory. The results of student opinions about these questions and the answers that were given and validity study of 130 cases 109 cases response was accepted. Results confirmed that they believed students had little experience working with Department of Mathematics, also it showed the effective teamwork of Mathematics and mathematical problem solving in small groups.

In this paper we use the Homotopy perturbation method (HPM) to comput the Maclaurin series of the given function y=f(x). First, we form an equation like A(f)=0, for the given function y=f(x). Afterward, we solve this equation by using the Homotopy perturbation method. Finally, we verify simplicity and efficiency our method by some examples.

Probe interval graphs are used as a generalization of interval graphs in physical mapping and sequencing of DNA. In this article has been shown that probe interval graphs are weakly triangulated and consequently are perfect. Furthermore, probe interval graphs have been determined according to consecutive order of their intrinsic cliques.

The important retail of ostorlab is moghantarat or parabola round, the design and calculating of that is unintelligible and proficiency  and indeed the correct of work and value of maker is similar to an analogue pc, its depend on delicacy design of these pages. On designing of these pages, interpolation a different variation that one of them is drawing the diverse of geography width zone. For this thing have a several choice one of them is drawing, must be doing 2 stage for calculating that declare in this article.

The familiar multivariate process monitoring and control procedure is the Hotelling’s T2 control chart, a direct analog of the univariate shewhart x¯ chart. But, its efficiency for detecting small to moderate shifts in the process mean is poor.  To improve the power of chart, this paper studies the statistical design of the T2 chart with variable ratio sampling scheme. It is assumed that the length of time the process remains in control has exponential distribution. The chart is modeled using Markov chains and is optimized using genetic algorithm optimization method. The results show that the T2 chart with variable ratio sampling scheme is quicker than the classical one in detecting almost all shifts in the process mean.