7 papers · 1 filter
Parabolic Relaxation for Quadratically-constrained Quadratic Programming -- Part II: Theoretical & Computational Results
Ramtin Madani, Mersedeh Ashraphijuo, Mohsen Kheirandishfard +1
In the first part of this work [32], we introduce a convex parabolic relaxation for quadratically-constrained quadratic programs, along with a sequential penalized parabolic relaxa…
Parabolic Relaxation for Quadratically-constrained Quadratic Programming -- Part I: Definitions & Basic Properties
Ramtin Madani, Mersedeh Ashraphijuo, Mohsen Kheirandishfard +1
For general quadratically-constrained quadratic programming (QCQP), we propose a parabolic relaxation described with convex quadratic constraints. An interesting property of the pa…
Penalized Semidefinite Programming for Quadratically-Constrained Quadratic Optimization
Ramtin Madani, Mohsen Kheirandishfard, Javad Lavaei +1
In this paper, we give a new penalized semidefinite programming approach for non-convex quadratically-constrained quadratic programs (QCQPs). We incorporate penalty terms into the…
Convex Relaxation of Bilinear Matrix Inequalities Part II: Applications to Optimal Control Synthesis
Mohsen Kheirandishfard, Fariba Zohrizadeh, Muhammad Adil +1
The first part of this paper proposed a family of penalized convex relaxations for solving optimization problems with bilinear matrix inequality (BMI) constraints. In this part, we…
Convex Relaxation of Bilinear Matrix Inequalities Part I: Theoretical Results
Mohsen Kheirandishfard, Fariba Zohrizadeh, Ramtin Madani
This two-part paper is concerned with the problem of minimizing a linear objective function subject to a bilinear matrix inequality (BMI) constraint. In this part, we first conside…
Sequential Relaxation of Unit Commitment with AC Transmission Constraints
Fariba Zohrizadeh, Mohsen Kheirandishfard, Adnan Nasir +1
This paper proposes a sequential convex relaxation method for obtaining feasible and near-globally optimal solutions for unit commitment (UC) with AC transmission constraints. Firs…
Penalized Parabolic Relaxation for Optimal Power Flow Problem
Fariba Zohrizadeh, Mohsen Kheirandishfard, Edward Quarm +1
This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (…