Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521652 unavailable PRODUCTION MODEL WITH SELLING PRICE DEPENDENT DEMAND AND PARTIAL BACKLOGGING UNDER INFLATION Singh S. Dude Rakesh Singh R. 22 12 2011 1 1 (WINTER) 1 7 12 04 2016 12 04 2016 Copyright © 2011, Islamic Azad University, Central Tehran Branch. 2011 http://ijm2c.iauctb.ac.ir/article_521652.html

We developed an inventory model for decaying items with selling price dependent demand in inflationary environment. Deterioration rate is taken as two parameter Weibull distribution. Shortages in inventory are allowed with partial backlogging. Backlogging rate is taken as exponential decreasing function of time. Profit maximization technique is used in this study.

Selling price demand partial backlogging Weibull deterioration
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521653 unavailable ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS Bokhari M. A. KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic Al-Attas H. KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic 22 12 2011 1 1 (WINTER) 9 14 12 04 2016 12 04 2016 Copyright © 2011, Islamic Azad University, Central Tehran Branch. 2011 http://ijm2c.iauctb.ac.ir/article_521653.html

Orthogonal zero interpolants (OZI) are polynomials which interpolate the “zero-function” at a finite number of pre-assigned nodes and satisfy orthogonality condition. OZI’s can be constructed by the 3-term recurrence relation. These interpolants are found useful in the solution of constrained approximation problems and in the structure of Gauss-type quadrature rules. We present some theoretical and computational aspects of OZI’s and also discuss their structure and significance at the multiple nodes.

Ortogonal zero interpolant 3-term recurrence relation constrained least squares approximation Parseval equality Jacobi matrix Gauss-Radau/Lobatto rules
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521654 unavailable APPLICATION OF DEA FOR SELECTING MOST EFFICIENT INFORMATION SYSTEM PROJECT WITH IMPRECISE DATA Nalchigar S. University Pierre and Marie Curie France Nasserzadeh S. M. University of Tehran Iran, Islamic Republic of Department of Information Technology Management, Faculty of Management 22 12 2011 1 1 (WINTER) 15 25 12 04 2016 12 04 2016 Copyright © 2011, Islamic Azad University, Central Tehran Branch. 2011 http://ijm2c.iauctb.ac.ir/article_521654.html

The selection of best Information System (IS) project from many competing proposals is a critical business activity which is very helpful to all organizations. While previous IS project selection methods are useful but have restricted application because they handle only cases with precise data. Indeed, these methods are based on precise data with less emphasis on imprecise data. This paper proposes a new integrated Data Envelopment Analysis (DEA) model which is able to identify most efficient IS project in presence of imprecise data. As an advantage, proposed model identifies most efficient IS project by solving only one Mixed Integer Linear Programming (MILP). Applicability of proposed method is indicated by using data set includes specifications of 8 competing projects in Iran Ministry of Commerce.

Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521655 unavailable RANKING DMUS ON THE BENCHMARK LINE WITH EQUAL SHADOW PRICES Molaee Z. Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics Zandi A. Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics 22 12 2011 1 1 (WINTER) 27 33 12 04 2016 12 04 2016 Copyright © 2011, Islamic Azad University, Central Tehran Branch. 2011 http://ijm2c.iauctb.ac.ir/article_521655.html

Data envelopment analysis (DEA) with considering the best condition for each decision making unit (DMU) assesses the relative efficiency for it and divides a homogenous group of DMUs in to two categories: efficient and inefficient, but traditional DEA models can not rank efficient DMUs. Although some models were introduced for ranking efficient DMUs, Franklin Lio & Hsuan peng (2008), proposed a common weights analysis (CWA) approach for ranking them. These DMUs are ranked according to the efficiency score weighted by the common set of weights and shadow prices. This study shows there are some cases that shadow prices of efficient DMUs are equal, hence this method is not applicable for ranking them. Next, we propose a new method for ranking units with equal shadow prices.

Data envelopment analysis Shadow Price Common Weight Analysis Benchmark Line
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521656 unavailable NON-POLYNOMIAL QUARTIC SPLINE SOLUTION OF BOUNDARY-VALUE PROBLEM Rashidinia J. Islamic Azad University, Central Tehran Branch, Iran Department of Mathematics Barati F. 22 12 2011 1 1 (WINTER) 35 44 12 04 2016 12 04 2016 Copyright © 2011, Islamic Azad University, Central Tehran Branch. 2011 http://ijm2c.iauctb.ac.ir/article_521656.html

Quartic non-polynomial spline function approximation in oﬀ step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the order of accuracy of the presented methods. The computed results are compared with other exiting methods, collocation, decomposition and spline methods. Computed result verify the applicability and accuracy of our presented methods.

Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 521657 unavailable NUMERICAL SOLUTION OF BOUSSINESQ EQUATION USING MODIFIED ADOMIAN DECOMPOSITION AND HOMOTOPY ANALYSIS METHODS Sadigh Behzadi Sh. 22 12 2011 1 1 (WINTER) 45 58 12 04 2016 12 04 2016 Copyright © 2011, Islamic Azad University, Central Tehran Branch. 2011 http://ijm2c.iauctb.ac.ir/article_521657.html

In this paper, a Boussinesq equation is solved by using the Adomian's decomposition method, modified Adomian's decomposition method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved in detail. A numerical example is studied to demonstrate the accuracy of the presented methods.