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