Journal of New Researches in Mathematics: 1 (1)

Open Access Article

1 - Solution of Inverse Kinematic Problem of a 2DOF Robot Using Decomposition Method
Gh Asadi-Cordshooli A. Vahidi R. Norouzi

The inverse kinematics problem of a two degree of freedom (2DOF) planar robot arms issolved using Adomian’s decomposition method (ADM), after converting to a system of twononlinear algebraic equations. The advantage of the method is that it gives the solutions asf More

The inverse kinematics problem of a two degree of freedom (2DOF) planar robot arms issolved using Adomian’s decomposition method (ADM), after converting to a system of twononlinear algebraic equations. The advantage of the method is that it gives the solutions asfunctions of the desired position of the end effecter and the length of the arms. The accuracyof the solutions can be increased up to desired order. The solutions haven’t any singularity.The problem must be solved once for any structure and the results can be used for any pathand finally, the method is fast and simple to understand Manuscript profile

Open Access Article

2 - A Method for Designing Optimal Systems for the Centralized Structures in DEA
Sh .Razavyan

This study designs optimal systems for the centralized structures in data envelopmentanalysis (DEA). It assumes that a collection of decision making units (DMUs) with a masterdecision maker and a certain budget for them is available and introduces an optimal systemfor e More

This study designs optimal systems for the centralized structures in data envelopmentanalysis (DEA). It assumes that a collection of decision making units (DMUs) with a masterdecision maker and a certain budget for them is available and introduces an optimal systemfor each DMU by maximizing their total revenue. A nmerical example is used to illustrate theproposed model. Manuscript profile

Open Access Article

3 - Utilizing Monte Carlo Method for Ranking Extreme Efficient Units in Data Envelopment Analysis
Gh-R .Jahanshahloo M. Zahedi-Seresht

Data envelopment analysis (DEA) is a mathematical programming method for calculatingefficiency of decision making units (DMU). In calculating the efficiency score of unitsthrough DEA we may come up with some efficient units. But the question is among theseefficient unit More

Data envelopment analysis (DEA) is a mathematical programming method for calculatingefficiency of decision making units (DMU). In calculating the efficiency score of unitsthrough DEA we may come up with some efficient units. But the question is among theseefficient units which of them is better. As we know, it is possible to rank inefficient unitsthrough efficiency score; however, for ranking efficient units it is not helpful and othermethods should be developed in these regards. To obviate this problem there have been somany attempts in the literature which have their pros and cons. Cross-efficiency method wasfirst introduced by Sexon et al. for ranking efficient units. The major problem of this methodis alternative optimal solutions in each model which must be solved for each DMU. Anotherproblem of this method is dependency of obtained solutions on the solution obtained by otherunits. Another method which has widely been used is super efficiency, presented byAnderson and Petersen. There are several flaws in their suggested method. Infeasibility,instability, dependency of the model on the input and output orientation and non-zero slackvariables are the weaknesses of this method which may occur in specific problems. Thisarticle is an attempt to present a method which does not have the aforementioned problemsand can be utilized to calculate the rank of extreme efficient units through using the Hit orMiss Monte Carlo method. At the end of the article some examples are made in order to showthe efficiency of the presented method. Manuscript profile

Open Access Article

4 - Uncertain Resource Availabilities: Proactive and Reactive Procedures for Preemptive Resource Constrained project Scheduling Problem
M. Fallah

Project scheduling is the part of project management that deals with determining when intime to start (and finish) which activities and with the allocation of scarce resources to theproject activities. In practice, virtually all project managers are confronted with reso More

Project scheduling is the part of project management that deals with determining when intime to start (and finish) which activities and with the allocation of scarce resources to theproject activities. In practice, virtually all project managers are confronted with resourcescarceness. In such cases, the Resource-Constrained Project Scheduling Problem (RCPSP)arises. This optimization problem has become popular over the last few decades because ofits practical relevance to various industrial and research fields. Numerous procedures havebeen developed in the literature for finding either optimal or heuristic solutions for theRCPSP.Resource constrained project scheduling problem under stochastic circumstances have beenconsidered in recent decades where uncertainty is modeled by means of activities’ duration.In this research we study an extension of basic stochastic RCPSP in which availability ofresources is not predefined. Activities follow preempt-resume mode in case of any disruptiondue to resource infeasibility. A solution for this variant of RCPSP is defined in three steps byutilizing heuristic procedures for creating initial schedule, adding time and resource buffers inorder to yield proactive schedule and applying reactive policies to encounter with unhandledbreakdowns. Computational experiments depict that proposed combined procedure achievesignificant performance gains over the use of each method separately. Manuscript profile

Open Access Article

5 - Stochastic DEA with Using of Skew-Normal Distribution in Error Structure
A. Nazari M-H .Behzadi

The stochastic data envelopment analysis (SDEA) was developed considering the value ofinputs and outputs as random variables. Therefore, statistical distributions play an importantrole in this regard. The skew-normal (SN) distribution is a family of probability densityf More

The stochastic data envelopment analysis (SDEA) was developed considering the value ofinputs and outputs as random variables. Therefore, statistical distributions play an importantrole in this regard. The skew-normal (SN) distribution is a family of probability densityfunctions that is frequently used in practical situations. In this paper, we assume that the inputand output variables are skew-normally distributed. With introducing asymmetric errorstructure for random variables of SN distribution, a stochastic BCC model is provided. Theproposed model includes BCC model assuming a normal distribution of data as well. Finally,the proposed model is used in a numerical example Manuscript profile

Open Access Article

6 - Incorporating Fuzzy AHP and PROMETHEE for Clssification of Student Dormitories in Iran
M. Khodabakhshi R. Darabi

In this research a discipline for grading of country’s student dormitory will be designed. Themajor goal of classification is to promote the quality of student dormitories, and results of thisgrading in addition of creating a healthy competitive space between univ More

In this research a discipline for grading of country’s student dormitory will be designed. Themajor goal of classification is to promote the quality of student dormitories, and results of thisgrading in addition of creating a healthy competitive space between universities forpromotion, will have important consequence of equating the rental money of dormitoriesproportionate with dormitories grade. Also with respect to appendix policies of article 44 ofconstitutional law and 5th program of development sentences, ministry of science, researchand technology shall give welfare services to nongovernmental companies. So existing ofsuch systems for grading of dormitories, will obviously invigorate the supervising dimensionof ministry of science, student welfare fund and universities on given dormitories. Althoughthere are several evaluation methods for universities and centers for higher education, but nomethod for grading of dormitories in international level has been reported up to now.Therefore in this paper, with different beneficiaries corporation, important dimensions andmeasures for grading of dormitories has been determined and with help of designed system,student dormitories are classifying to four classes. Manuscript profile

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