Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 PRODUCTION MODEL WITH SELLING PRICE DEPENDENT DEMAND AND PARTIAL BACKLOGGING UNDER INFLATION 1 7 EN S. Singh Rakesh Dude R. Singh 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. http://ijm2c.iauctb.ac.ir/article_521652.html http://ijm2c.iauctb.ac.ir/article_521652_c52551fef6012b27e2a33304d7efedea.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS 9 14 EN M. A. Bokhari KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic H. Al-Attas KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic 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 http://ijm2c.iauctb.ac.ir/article_521653.html http://ijm2c.iauctb.ac.ir/article_521653_00867b87641d94a34925cda49b86cc99.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 APPLICATION OF DEA FOR SELECTING MOST EFFICIENT INFORMATION SYSTEM PROJECT WITH IMPRECISE DATA 15 25 EN S. Nalchigar University Pierre and Marie Curie France S. M. Nasserzadeh University of Tehran Iran, Islamic Republic of Department of Information Technology Management, Faculty of Management 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. http://ijm2c.iauctb.ac.ir/article_521654.html http://ijm2c.iauctb.ac.ir/article_521654_232e74bd9eee67820980c2d923c84007.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 RANKING DMUS ON THE BENCHMARK LINE WITH EQUAL SHADOW PRICES 27 33 EN Z. Molaee Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics A. Zandi Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics 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 http://ijm2c.iauctb.ac.ir/article_521655.html http://ijm2c.iauctb.ac.ir/article_521655_b57a084c22a2015273c2c19fe3937d8f.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 NON-POLYNOMIAL QUARTIC SPLINE SOLUTION OF BOUNDARY-VALUE PROBLEM 35 44 EN J. Rashidinia Islamic Azad University, Central Tehran Branch, Iran Department of Mathematics F. Barati 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. http://ijm2c.iauctb.ac.ir/article_521656.html http://ijm2c.iauctb.ac.ir/article_521656_2a3a5ffbcc61b876d2538c65b9b0c56f.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 NUMERICAL SOLUTION OF BOUSSINESQ EQUATION USING MODIFIED ADOMIAN DECOMPOSITION AND HOMOTOPY ANALYSIS METHODS 45 58 EN Sh. Sadigh Behzadi 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. Boussinesq equation,Adomian Decomposition Method (ADM),Modified Adomian decomposition method (MADM),Homotopy analysis method (HAM) http://ijm2c.iauctb.ac.ir/article_521657.html http://ijm2c.iauctb.ac.ir/article_521657_677362e889a900a2f70bb11e0214f463.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 COLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS 59 68 EN Sara Fayazzadeh Marjan Lotfi In this paper it is shown that the use of‎ ‎uniform meshes leads to optimal convergence rates provided that‎ ‎the analytical solutions of a particular class of‎ ‎Fredholm-Volterra integral equations (FVIEs) are smooth‎. http://ijm2c.iauctb.ac.ir/article_521658.html http://ijm2c.iauctb.ac.ir/article_521658_81865fb31cae87be7ee4411946ec61df.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 1 1 (WINTER) 2011 12 22 SPLINE COLLOCATION FOR NONLINEAR FREDHOLM INTEGRAL EQUATIONS 69 75 EN Z. Mahmoodi Science and Research Branch, Islamic Azad University, Tehran, Iran Iran, Islamic Republic of Department of Mathematics J. Rashidinia Science and Research Branch, Islamic Azad University, Tehran, Iran Iran, Islamic Republic of Department of Mathematics E. Babolian Science and Research Branch, Islamic Azad University, Tehran, Iran Iran, Islamic Republic of Department of Mathematics The collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the integrand. Convergence analysis has been investigated and proved that the quadrature rule is third order convergent. The presented method is tested with four examples, and the errors in the solution are compared with the existing methods [1, 2, 3, 4] to verify the accuracy and convergent nature of proposed methods. The RMS errors in the solutions are tabulated in table 3 which shows that our method can be applied for large values of n, but the maximum n which has been used by the existing methods are only n = 10, moreover our method is accurate and stable for different values of n. Nonlinear Fredholm integral equation,Cubic B-spline,Newton-Cotes, Collocation, Convergence analysis http://ijm2c.iauctb.ac.ir/article_521659.html http://ijm2c.iauctb.ac.ir/article_521659_20fa37c73a8a1d7071a2e3f8aa4adf64.pdf