285 citations · 797 across the 32 of their papers we have counts for
8 papers · 1 filter
Solving the Heilbronn Triangle Problem using Global Optimization Methods
Amirhossein Monji, Amirali Modir, Burak Kocuk
We study the Heilbronn triangle problem, which involves placing n points in the unit square such that the minimum area of any triangle formed by these points is maximized. A straig…
Convexification of a Separable Function over a Polyhedral Ground Set
Santanu S. Dey, Burak Kocuk
In this paper, we study the set , where and the ground set is a nonempty…
A Stochastic Programming Approach to the Railcar Maintenance Problem with Service Level and Track Capacity Considerations
Murat Elhüseyni, Burak Kocuk
Railcars, as part of the rolling stock, perform regular transportation tasks with respect to a service level agreement (SLA) and undergo preventive maintenance at regular intervals…
A Dynamic Strategic Plan for Transition to Campus-Scale Clean Electricity Using Multi-Stage Stochastic Programming
Ahmet Emir Şener, Burak Kocuk, Tuğçe Yüksel
The decarbonization of energy systems at energy-intensive sites is an essential component of global climate mitigation, yet such transitions involve substantial capital requirement…
Global Optimization of Gas Transportation and Storage: Convex Hull Characterizations and Relaxations
Bahar Cennet Okumusoglu, Burak Kocuk
Gas transportation and storage has become one of the most relevant and important optimization problems in energy systems. This problem inherently includes highly nonlinear and nonc…
Risk-Averse Antibiotics Time Machine Problem
Deniz Tuncer, Burak Kocuk
Antibiotic resistance, which is a serious healthcare issue, emerges due to uncontrolled and repeated antibiotic use that causes bacteria to mutate and develop resistance to antibio…
Learning to Relax Nonconvex Quadratically Constrained Quadratic Programs
Muge Dedeoglu, Buket Ozen, Burak Kocuk
Quadratically constrained quadratic programs (QCQPs) are ubiquitous in optimization: Such problems arise in applications from operations research, power systems, signal processing,…
On the integrality gap of convex mixed-integer programs
Burak Kocuk, Diego Moran Ramirez
We study the integrality gap of convex mixed-integer programs, that is, the difference between the optimal value of such a problem and the optimal value of its continuous relaxatio…