Iranian Journal of Operations Research
مجله انجمن ایرانی تحقیق در عملیات
IJOR
Basic Sciences
http://iors.ir/journal
0
user
2008-1189
10.29252/iors
en
jalali
1392
7
1
gregorian
2013
10
1
4
2
online
1
fulltext
en
Shape Optimization of an Arterial Bypass in Cardiovascular Systems
Continuous Optimization
Continuous Optimization
پژوهشی
Original
A high performance numerical technique in the study of aorto-coronaric bypass anastomoses configurations using steady Stokes equations is presented. The problem is first expressed as an optimal control problem. Then, by using an embedding method, the class of admissible shapes is replaced by a class of positive Borel measures. The optimization problem in measure space is then approximated by a linear programming problem. The optimal measure representing optimal shape is approximated by solving this finite-dimensional linear programming problem. An illustrative example demonstrates the effectiveness of the method.
Aorto-coronaric bypass anastomoses, Shape optimization, Optimal control, Stokes equation, Functional space, Linear programming
127
145
http://iors.ir/journal/browse.php?a_code=A-10-465-1&slc_lang=en&sid=1
A.R.
Nazemi
nazemi20042003@yahoo.com
`00031947532846001145`

00031947532846001145
Yes
Department of Applied Mathematics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
M.H.
Farahi
farahi2001@yahoo.ie
`00031947532846001146`

00031947532846001146
No
Department of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran