en 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