Review of the methods for evaluating congestion in DEA and computing output losses due to congestion
H.
Zare Haghighi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
author
M.
Khodabakhshi
Department of Mathematics, Faculty of Mathematical Sciences, Shahid
Beheshti University, G.C., Tehran, Iran.
author
G. R.
Jahanshahloo
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
author
text
article
2014
eng
Data Envelopment Analysis (DEA) is a branch of management, concerned with evaluating the performances of homogeneous Decision Making Units (DMUs). The performances of DMUs are affected by the amount of sources that DMUs used. Usually increases in inputs cause increases in outputs. However, there are situations where increase in one or more inputs generate a reduction in one or more outputs. In such situations there is congestion in inputs or production process. In this study, we review the approaches that are available in the DEA literature for evaluating congestion. Also we introduce a model to compute output losses due to congestion. Then, we present the results of the mentioned models on an empirical example and interpret the results.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
1
17
http://ijim.srbiau.ac.ir/article_2244_b7197ef5ce43b1977455f06be184b523.pdf
Solving fully fuzzy linear programming
M.
Otadi
Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
author
text
article
2014
eng
In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming (abbreviated to FFLP) problems. Also, we employ linear programming (LP) with equality constraints to find a nonegative fuzzy number vector x which satisfies Ax =b, where A is a fuzzy number matrix. Then we investigate the existence of a positive solution of fully fuzzy linear system (FFLS).
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
19
26
http://ijim.srbiau.ac.ir/article_2173_6314de305bf54f155f154476e2ea48a1.pdf
Numerical solution of the system of Volterra integral equations of the first kind
A.
Armand
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
author
Z.
Gouyandeh
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
author
text
article
2014
eng
This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an approximation for system of Volterra integral equations. Some examples are given to show the pertinent features of this methods.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
27
35
http://ijim.srbiau.ac.ir/article_2174_12bb92568aaa8856adac5200c600e283.pdf
A Random Walk with Exponential Travel Times
R.
Kazemi
Department of Statistics, Imam Khomeini International University, Qazvin, Iran
author
text
article
2014
eng
Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log N as Np is large.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
37
40
http://ijim.srbiau.ac.ir/article_2177_c1c3b1dd3edcb3eaff35d8fff1232ae7.pdf
Approximate solution of the stochastic Volterra integral equations via expansion method
M.
Khodabin
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
author
K.
Maleknejad
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
author
T.
Damercheli
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
author
text
article
2014
eng
In this paper, we present an efficient method for determining the solution of the stochastic second kind Volterra integral equations (SVIE) by using the Taylor expansion method. This method transforms the SVIE to a linear stochastic ordinary differential equation which needs specified boundary conditions. For determining boundary conditions, we use the integration technique. This technique gives an approximate simple and closed form solution for the SVIE. Expectation of the approximating process is computed. Some numerical examples are used to illustrate the accuracy of the method.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
41
48
http://ijim.srbiau.ac.ir/article_2190_7ffd88dd1660182ee8c073da8c329be4.pdf
FGP approach to multi objective quadratic fractional programming problem
K.
Lachhwani
Department of Mathematics, Government Engineering
College, Bikaner- 334004, India.
author
text
article
2013
eng
Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the objective functions is non-zero in the constraint set. In this paper, we extend the procedure as suggested by Lachhwani (Proc. Nat. Acad. Sci. India, 82(4), 317-322) based on fuzzy goal programming approach for the solution of multi objective quadratic fractional programming (MOQFP) problem. The proposed technique is simple, ecient and requires less computational work. In the proposed FGP model formulation, corresponding objectives of equivalent multi objective programming problem are transformed into fuzzy goals membership functions) by means of assigning an aspiration level to each of them and suitable membership function is defined for each objectives. Then achievement of the highest membership value of each of fuzzy goals is formulated by minimizing the sum of negative deviational variables. The proposed methodology is illustrated with numerical example in order to support the proposed methodology.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2013
49
57
http://ijim.srbiau.ac.ir/article_2285_c2ceebb88aca066952e9e2992839e04e.pdf
On edge Co-PI indices
A.
Arjomandfar
Islamic Azad University, Shahr-e Rey Branch, Tehran,
Iran.
author
O.
Khormali
Mathematics and Informatics Research Group,
ACECR, Tarbiat Modares University, B.O. Box: 14115-
343, Tehran, Iran.
author
text
article
2014
eng
In this paper, at first we mention to some results related to PI and vertex Co-PI indices and then we introduce the edge versions of Co-PI indices. Then, we obtain some properties about these new indices.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
59
64
http://ijim.srbiau.ac.ir/article_2181_dae253baa149fb463b3f67719b7cb1bb.pdf
Efficiency Measurement in Two-Stage Network Structures Considering Undesirable Outputs
A.
Amirteimoori
Department of mathematics, Islamic Azad University, Rasht branch, Rasht, Iran
author
A.
Toloie-Eshlaghi
Department of Management and Economics, Islamic Azad University, Science and Research Branch, Tehran, Iran
author
M.
Homayoonfar
Department of Management and Economics, Islamic Azad University, Science and Research Branch, Tehran, Iran
author
text
article
2014
eng
Since data envelopment analysis (DEA) introduced in 1970s, it has been widely applied to measure the efficiency of a wide variety of production and operation systems. Recently DEA has been extended to examine the efficiency of decision making units (DMUs) with two-stage network structures or processes, where the outputs from the first stage are intermediate measures that make up the inputs of the second stage. Many researchers developed several DEA based models for evaluating the efficiencies of such systems. This paper considers evaluation of the general two-stage network structures, while each stage may produce undesirable output, in addition to desirable ones. The developed model is applied to Green Hen poultry chain in Guilan province, Iran.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
65
71
http://ijim.srbiau.ac.ir/article_2182_da45b83ac49de238b5061fbb14e99f3b.pdf
Dynamical System and Semi-Hereditarily Hypercyclic Property
K.
Jahedi
Department of Mathematics,
Shiraz Branch, Islamic Azad University, Shiraz, Iran
author
text
article
2014
eng
In this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the Hypercyclicity Criterion. We characterize topological transitivity and semi-hereiditarily of a dynamical system given by an n-tuple of operators acting on a separable infinite dimensional Banach space .
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
73
78
http://ijim.srbiau.ac.ir/article_2199_93275ee912c5733e3bf43d73a61d80f9.pdf
Optical properties of silicon nano layers by using Kramers- Kronig method
H.
Kangarlou
Department of Physics, Urmia Branch, Islamic Azad
University, Urmia, Iran.
author
text
article
2014
eng
Silicon thin layers are deposited on glass substrates with the thickness of 103 nm, 147 nm and 197 nm. The layers are produced with electron gun evaporation method under ultra-high vacuum condition. The optical Reectance and the Transmittance of produced layers were measured by using spectrophotometer. The optical functions such as, real and imaginary part of refractive index, real and imaginary part of dielectric constant, real and imaginary part of conductivity, absorption coeficient and optical band gap energy are calculated basing on the Kramers-Kronig relations. The void fractions of the silicon lms are calculated by using Aspnes theorem. The effect of layer thickness on optical properties of silicon thin lms is investigated.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
6
v.
1
no.
2014
79
84
http://ijim.srbiau.ac.ir/article_2294_75cb5018150ff9550efad774b71b6e4b.pdf