Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
‘BALANCING AND SEQUENCING’ VERSUS ‘ONLY BALANCING’ IN MIXED MODEL U-LINE ASSEMBLY SYSTEMS: AN ECONOMIC ANALYSIS
1
17
EN
Masoud
Rabbani
College of Engineering, University of Tehran
Iran, Islamic Republic of
Industrial Engineering
Zohreh
Zahedian-Tejenaki
School of Industrial Engineering, College of Engineering, University of Tehran
Iran, Islamic Republic of
Farnoush
Otrody
School of Industrial Engineering, College of Engineering, University of Tehran
Iran, Islamic Republic of
Amir
Farshbaf-Geranmyeh
School of Industrial Engineering, College of Engineering, University of Tehran
Iran, Islamic Republic of
With the growth in customers’ demand diversification, mixed-model U-lines (MMUL) have acquired increasing importance in the area of assembly systems. There are generally two different approaches in the literature for balancing such systems. Some researchers believe that since the types of models can be very diverse, a balancing approach without simultaneously sequencing of models will not yield an optimum configuration. On the other hand, another group of researchers point to the high cost of balancing systems and prefer to do it only one time regardless of the models’ sequences. In this paper, we aim to compare these two approaches by introducing an economic indicator. To do so, two models as representatives of the two different viewpoints are taken from the literature. To check the validity of this methodology, it is implemented by Lingo 11.0, for small scale, and GA, for a large scale. The obtained results indicate that, from the proposed economic indicator point of view, mixed-model U-lines balancing and sequencing (MMUL/BS) is preferred to its counterpart, mixed-model U-lines balancing (MMULB). This paper offers economic guidelines for managers to choose between only balancing and implementing it by sequencing at the same time.
Mixed model U-lines,Assembly line balancing,Assembly line balancing and Sequencing,Cost index,Genetic Algorithm
http://ijm2c.iauctb.ac.ir/article_521907.html
http://ijm2c.iauctb.ac.ir/article_521907_d6fed473bc0cf6223d0cd6c74ff229ea.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
FIXED POINT THEOREM OF KANNAN-TYPE MAPPINGS IN GENERALIZED FUZZY METRIC SPACES
19
27
EN
Esmaeil
Feizi
Bu-Ali Sina university
Iran, Islamic Republic of
Binayak et al in [1] proved a fixed point of generalized Kannan
type-mappings in generalized Menger spaces. In this paper we extend gen-
eralized Kannan-type mappings in generalized fuzzy metric spaces. Then we
prove a fixed point theorem of this kind of mapping in generalized fuzzy metric
spaces. Finally we present an example of our main result.
Generalized Fuzzy metric space,Kannan-type mappings,Generalized Kannan-type mappings,fixed point
http://ijm2c.iauctb.ac.ir/article_521908.html
http://ijm2c.iauctb.ac.ir/article_521908_6e317a704b3358cf767bd73f59f04059.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
AN LP-LQ-VERSION OF MORGAN’S THEOREM FOR THE GENERALIZED BESSEL TRANSFORM
29
35
EN
Ahmed
Abouelaz
Radouan
Daher
Loualid El
Mehdi
Morocco
n this article, we prove An Lp-Lq-version of Morgan’s theorem
for the generalized Bessel transform.
Generalized Bessel transform,uncertainty principle,Lp-Lq-version of Morgan’s theorem
http://ijm2c.iauctb.ac.ir/article_521909.html
http://ijm2c.iauctb.ac.ir/article_521909_8cd5298b44037e7fab87d1a3e62348ae.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
INVENTORY MODEL FOR DETERIORATING ITEMS WITH REVENUE SHARING ON PRESERVATION TECHNOLOGY INVESTMENT UNDER PRICE SENSITIVE STOCK DEPENDENT DEMAND
37
48
EN
vinod kumar
Mishra
B T kumaon Institute of Technology,Dwarahat, Almora,Uttarakhand, India
India
Computer Science, Assistant Professor
The objective of this research is to tackle the emerging problem of jointly determining theoptimal retail price, the replenishment cycle, and the cost of preservation technology investment from an integrated perspective among the supplier and the manufacturer. This paper deals an integrated single-manufacturer single-retailer supply chain model for deteriorating items under revenue sharing on preservation technology investment. The proposed model is developed under the contract that the manufacturer offers the retailer for a percentage of revenue sharing on preservation technology investment. The market demand is assumed to be dependent on both the on-hand stock and price, and the manufacturer & the retailer are in an agreement of lot-for-lot policy. Numerical & graphical analysis is given to illustrate the model.
http://ijm2c.iauctb.ac.ir/article_521910.html
http://ijm2c.iauctb.ac.ir/article_521910_312860698db5478a570e87a8d7e52bc6.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION
49
59
EN
Siavosh
Ahmadi
Tehran north branch-Azad University-iran
Iran, Islamic Republic of
I'm an Assistant Professor of Applied Mathematics at the University of Azad university. I received my doctorate in Fluid mechanics fro pune University. My recent publication include "Tornado Dynamics" in the journal of karaj Azad university.
This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined with the Banachcontraction mapping principle and an analytic semigroup of linear operators.
Stochastic dierential equations,quadratic mean almost periodic,analytic semigroups of linear operators
http://ijm2c.iauctb.ac.ir/article_521911.html
http://ijm2c.iauctb.ac.ir/article_521911_08292fa298ff6ef5d9b754232f664fdb.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH COULOMB’S FRICTION FOR LOCKING MATERIAL
61
81
EN
Salah
Bourichi
University Hassan I, FSTS, Department of Mathematics and Informatics
Morocco
El
Essoufi
In this work, we study a unilateral contact problem with non local friction of Coulombbetween a locking material and a rigid foundation. In the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. In the second step, usingthe penalty method we introduce the penalized problem numerical in the form of variationalequality where we replace the law behavior and the law contact of Sigorini . The we show theconvergence of the continuous penalty solution as the penalty parameter n tends towards infinity.Then, the analysis of the finite element discretized penalty method is carried out.
Locking material,Unilateral contact,Coulomb’s friction,variational inequality,penalty method,Finite element
http://ijm2c.iauctb.ac.ir/article_521912.html
http://ijm2c.iauctb.ac.ir/article_521912_b9c0d5b74ec891f364b01bce5c0f5957.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
1 (WINTER)
2016
03
20
AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS
83
103
EN
Michael Gr.
Voskoglou
Graduate T.E.I. of Western Greece
Professor Emeritus of Mathematical Sciences
School of Technological Applications
Igor Ya.
Subbotin
In this paper we use the Triangular and Trapezoidal Fuzzy Numbers as tools for assessing student Mathematical Modelling (MM) skills. Fuzzy Numbers play a fundamental role in fuzzy mathematics analogous to the role played by the ordinary numbers in classical mathematics, On the other hand, MM appears today as a dynamic tool for teaching and learning mathematics, because it connects mathematics with our everyday life giving the possibility to students to understand its usefulness in practice thus increasing their interest about mathematics. Therefore the subject of the present paper appears to be of great interest. Our results are illustrated by three examkples, through which the effectiveness of our new fuzzy assessment approach is validated compared to already established by the present authors in earlier works assessment methods of the classical (calculation of the means, GPA index) and the fuzzy logic (Trapezoidal Model).
Mathematical Modelling,Trapezoidal Fuzzy Assessment Model,fuzzy numbers
http://ijm2c.iauctb.ac.ir/article_521913.html
http://ijm2c.iauctb.ac.ir/article_521913_a81e0902f3c274a70773a4cc3c0bdddf.pdf