Journal of Operational Research in its Applications
Year:2011 | Volume:2 | Issue:2 (29)|Papers Count:9

This paper calculates the stability ray of a decision making unit (DMU0), which the right and left its returns to scale (RTS) are given, such that its RTS characteristics in the RTS classification remain. With regarding to definable hyper planes of the right and left RTS and classification of DMUs, models proposed for measuring stability ray.

The current paper uses a mathematical programming model for use to measure of efficiency where multiple performance measures are needed to examine the performance and productivity changes. In many applications of data envelopment analysis (DEA), the existing models are designed to obtain a single efficiency measure. However, in many real situations, the units under consideration may perform several different functions or can be separated into different 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 efficiency of each component and measuring the aggregated efficiency of each unit are important. In this paper universities efficiency is analyzed using data from 14 universities of Islamic Azad University in Iran. First a DEAefficiency analysis of multi-component DMUs which is proposed by Cook et al is presented and then by grouping the branches according to their organizational designation.

Some of DMUs that are evaluated as efficient units by DEA, have performance score one, so, in terms of theory, they are not distinction between them. Since, decision makers want to better assess DMUs performance and further improve the process, some of them try to full rank theirs. There are different methods for ranking efficient and inefficient units and many papers have been published in this field that they have many faults and they cannot rank all DMUs. Bootstrapping method, proposed in this article, can rank all DMUs. Boot strapping process uses the theory of computing power and linear programming is used for performance scores bootstrap and hence, it has not problems of the previous methods.

The two most significant sources of uncertainty are randomness and incomplete information. In real systems, we wish to monitor processes in the presence of these two kinds of uncertainty. This paper aims to construct a fuzzy statistical control chart that can explain existing fuzziness in data while considering the essential variability between observations. The proposed control chart avoids defuzzification methods such as fuzzy mean, fuzzy mode, fuzzy midrange, and fuzzy median. The out-of-control states are determined based on a fuzzy in-control region and a simple and precise graded exclusion measure that determines the degree to which fuzzy subgroups are excluded from the fuzzy in-control region. The proposed chart is illustrated with a numerical example.

There are several methods to solve generalized eigenvalue problem, AX=lBX but the number of computed eigenvalues by these methods might be less or more than expected. There are also methods which can lead us to the amount of results needed. In this paper we describe free inverse method for computing the generalized eigenvalue. Then, by combination this method and projection method, we develop two new iterative method for solving the generalized eigenvalue problem. The implementation of the algorithm has been tested by numerical examples, the results show that the algorithm converges fast and works with high accuracy.

The changing in text books is one of the most important problems in Training and Educational Department. The math book for 1 st grade in high school has changed in 1387- 1388m. This paper aims at evaluating the modifications or changes of mathematics book (1) of high school and its effects on academic achievements of female high school students in Saveh city. The sampling method is randomly. The research method is descriptive and inferential statistics. The measuring tools are: questionnaire and students' scores. The participants at this study are: 40 teachers and 88 students. The author concludes that in the view of teachers, the achievement for trigonometrically ratios chapter isn't more than other chapters. The achievement is observed at the first chapter more than other chapters. The modifications of book for academic achievement have been more effective among high school students at the female high school students of Saveh city. So the first hypothesis is accepted but the second hypothesis is rejected.

Today, evaluation of the research performance in universities for promoting the faculties and producing science is a key and important factor in the ministry of higher education. The present methods for evaluating of the faculties only focus on the outcome such as patents, Nobel prizes, articles, books, etc while it seems necessary to regard the inputs in the assessment as well. If we take into account the limitations, we can proportionally determine his/her positions and the respective research measure. Therefore, the talented people can be recognized and the provision of appropriate circumstances causes to improve the efficiency of the faculties. In this study, based on the existing documents in a university, we specify the effective factors in the research evaluation of the faculties. Then, we obtain the research efficiency of each academic using data envelopment analysis (DEA). In addition to the research factor, we consider the academic rank, teaching experience and the courses. Finally, we apply the proposed method into the faculties of industrial engineering department to analyze the results.

The main purpose of this research is to determine the influence of teaching methods based on Constructivism in math class in guidance course. The detailed purposes of this research are comparison of the aforementioned theory with the traditional method of teaching, skills of solving problems and educational progress in math. The experimental group includes 46 girls studying in Farzanegan school (gifted student) in two classes all in grade one. Method of research is a Quasi-experimental one accompanied by pre-test and post-test with control group. In experimental group teaching math by teaching method based on Constructivism has been presented in a term, and at the same time, the control group has been taught by traditional methods. For examining the differences between these groups and comparing their marks, before and after the intervention the statistical T-test of dependent group and T-pair test were used. The research findings reveal that skill of problem solving and educational progress of the experimental group, taught by Constructivism are better than the other group. Also, the progress of experimental students great point average in terms of learning main concepts and knowledge of math get more than the progress of under control students, and this progress statistically make a sense.