Higher-order Interior Point Methods for Solving Semidefinite Optimization Problems (Current)
Semidefinite Representations of Second-order Conic Optimization Problems (Past)
Quantum Interior Point Methods for Linear Optimization Problems (Current)
Simulation of Quantum Linear System Solvers on GPU (Current)
Quantum Inspired Iterative Refinement for Semidefinite Optimization (Past)
Inmate Cell-Bed Assignment (Current)
Proton Therapy Treatment Planning (Current)
Aircraft Swap Optimization (Past)
Airline Disruptive Event Simulation (Past)
Airport Ground Handling Operations Planning (Past)
M. Mohammadisiahroudi, P. Sampourmahani, W. Zou, L. Dong, Y. Zinchenko, T. Terlaky. "An Adaptive Relaxation Technique for Mixed-integer Formulation of Proton Therapy Treatment Optimization". [Technical Report]
Z. Wu, P. Sampourmahani, M. Mohammadisiahroudi, T. Terlaky. "A Quantum Dual Logarithmic Barrier Method for Linear Optimization". INFORMS Journal on Optimization, 2025. [arXiv] [ResearchGate]
M. Mohammadisiahroudi, B. Augustino, P. Sampourmahani, T. Terlaky. "Quantum Computing Inspired Iterative Refinement for Semidefinite Optimization". Mathematical Programming, 2025. [arXiv] [ResearchGate]
P. Sampourmahani, M. Mohammadisiahroudi, T. Terlaky. "On Semidefinite Representations of Second-order Conic Optimization Problems". Communications in Optimization Theory, 2024. [arXiv] [ResearchGate]
M. Mohammadisiahroudi, Z. Wu, P. Sampourmahani, A. Harkness, T. Terlaky. "Quantum Interior Point Methods: A Review of Developments and an Optimally Scaling Framework", Gavriel Salvendy International Symposium on Frontiers in Industrial Engineering Purdue Quantum AI, 2025.
P. Sampourmahani, M. Rafiee, O. Fatahi Valilai. "Proposing a Bi-Objective Mathematical Model for Airport Ground Handling Operations Scheduling and Resources Allocation", 5th International Conference on Industrial and Systems Engineering, 4-5 September, 2019, Mashhad, Iran. (In Persian)
H. Rastegarmoghaddam, M. Ahmadi, P. Sampourmahani, O. Fatahi Valilai, (2018). “A Collaborative Model for Consolidation of Sales and Marketing for Warehousing and Distribution Planning”. Proceedings of 48th International Conference on Computers and Industrial Engineering. Auckland, New Zealand, pp 2144-2152. December, 2018.