RT - Journal Article T1 - Solving A Fractional Program with Second Order Cone Constraint JF - IJMSI YR - 2019 JO - IJMSI VO - 14 IS - 2 UR - http://ijmsi.ir/article-1-1314-en.html SP - 33 EP - 42 K1 - Fractional Programming K1 - Second Order Cone K1 - SDP Relaxation. AB - We consider a fractional program with both linear and quadratic equation in numerator and denominator having second order cone (SOC) constraints. With a suitable change of variable, we transform the problem into a second order cone programming (SOCP) problem. For the quadratic fractional case, using a relaxation, the problem is reduced to a semi-definite optimization (SDO) program. The problem is solved with SDO relaxation and the obtained results are compared with the interior point method (IPM), a sequential quadratic programming (SQP) approach, an active set strategy and a genetic algorithm. It is observed that the SDO relaxation method is much more accurate and faster than the other methods. Finally,a few numerical examples are worked through to demonstrate the applicability of the procedure. LA eng UL http://ijmsi.ir/article-1-1314-en.html M3 ER -