Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
2
2013
07
01
On Bottleneck Product Rate Variation Problem with Batching
477
491
EN
Shree
Ram
Khadka
Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
shreeramkhadka@gmail.com
Tanka
Nath
Dhamala
Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
dhamala@yahoo.com
The product rate variation problem minimizes the variation in the rate at which different models of a common base product are produced on the assembly lines with the assumption of negligible switch-over cost and unit processing time for each copy of each model. The assumption of significant setup and arbitrary processing times forces the problem to be a two phase problem. The first phase determines the size and the number of batches and the second one sequences the batches of models. In this paper, the bottleneck case i.e. the min-max case of the problem with a generalized objective function is formulated. A Pareto optimal solution is proposed and a relation between optimal sequences for the problem with different objective functions is investigated.
Product rate variation problem,batching,sequencing problem,nonlinear integer programming
http://ijo.iaurasht.ac.ir/article_514134.html
http://ijo.iaurasht.ac.ir/article_514134_66aee2e924eb1b0beb59235054f07992.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
2
2013
07
01
Mapping Sequence diagram in Fuzzy UML to Fuzzy Petri Net
492
505
EN
E.
Akbari
Department of Mathematics, Islamic Azad University, Sari Branch, Sari, Iran
R.
Noorian Talooki
Department of Computer Engineering, Islamic Azad University, Sari Branch, Sari, Iran
H.
Motameni
Department of Computer Engineering, Islamic Azad University, Sari Branch, Sari, Iran
motameni@iausari.ac.ir
This ability in fuzzy UML, practically leaves the customers and market’s need without response in this important and vital area. Here, the available sequence diagrams in fuzzy UML will map into fuzzy Petri net. However, the formal models ability will be added to the Semi-formal fuzzy UML. This formalization will add the automatic processing ability to the Semi-formal fuzzy UML. Further more, the other advantages of this mapping is: access to non-functional parameters such as reliability automatically to the considering systems, study the verification of the designed plan and also decrease the expenses because of satiety to make lab sample before its implementation. Using the fuzzy UML mapping into fuzzy Petri net in control, critical and real-time systems will be more applicable.
non-functional parameters,fuzzy UML,sequence diagram,fuzzy Petri net,Formalization
http://ijo.iaurasht.ac.ir/article_514136.html
http://ijo.iaurasht.ac.ir/article_514136_8e2d23e5ff6ba2e807b4dbea0b3bd9b1.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
2
2013
07
01
On the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent
506
517
EN
Andrej
V.
Plotnikov
Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
a-plotnikov@ukr.net
Tatyana
A.
Komleva
Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
Lilia
I.
Plotnikova
Odessa National Polytechnic University, Odessa, Ukraine
In this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist.
differential inclusion,averaging method,fuzzy set,R-solution
http://ijo.iaurasht.ac.ir/article_514137.html
http://ijo.iaurasht.ac.ir/article_514137_d97144096845e36718c73422f2f61fec.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
2
2013
07
01
Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method
518
535
EN
H.
Saberi-Nik
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.
saberi_hssn@yahoo.com
S.
Effati
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.
R.
Buzhabadi
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.
In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. The homotopy analysis method (HAM) is used for solving this equation. Several examples are given to reconfirm the efficiency of these algorithms. The results of applying this procedure to the integro-differential equation with time-periodic coefficients show the high accuracy, simplicity and efficiency of this method.
Homotopy analysis method,integro-differential equations,approximate-analytic solution,homotopy-derivative,Homotopy perturbation method
http://ijo.iaurasht.ac.ir/article_514138.html
http://ijo.iaurasht.ac.ir/article_514138_83b91e496581c65b2416ec737b16ac35.pdf