285 citations · 797 across the 32 of their papers we have counts for
34 papers
A variational quantum eigensolver-based cutting plane framework for semidefinite programming problems
Gizem Ozbaygin, Burak Kocuk, Diego A. Moran R
Semidefinite programming plays a key role in optimization, with broad impact across control theory, machine learning, and combinatorial optimization. Although semidefinite programs…
Benders Decomposition with Partial Non-Anticipativity Relaxation for Multi-Stage Stochastic Clean Energy Transition Planning
Ahmet Emir Şener, Burak Kocuk, Tuğçe Yüksel
We study clean energy transition planning for campus-scale integrated electricity-heat systems under both strategic level and operational level uncertainties. We formulate a multi-…
The Weighted Connected p-Median Problem
Murat Elhüseyni, Burak Kocuk, Miklós Krész
The connected p-median problem is defined as a variant of the classical p-median problem when the facility nodes induce a connected subgraph. In this paper, we introduce the weight…
Copositive Matrices with Ordered Off-Diagonal Entries
Grigoriy Blekherman, Santanu S. Dey, Alex Dunbar +1
We study copositive matrices which admit a decomposition into a sum of a positive semidefinite matrix and a matrix with nonnegative entries. Our main result shows that if the off-d…
MIQCP and MISOCP-Based Solution Methods for the Multi-Layer Thin Films Problem
Deniz Tuncer, Burak Kocuk
The Multi-Layer Thin Films Problem is a materials science problem that aims to enhance the reflectance of a metallic substrate by designing multi-layer coatings composed of differe…
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…
Generator Subadditive Functions for Mixed-Integer Programs
Gustavo Ivan Angulo Olivares, Burak Kocuk, Diego Moran Ramirez
For equality-constrained linear mixed-integer programs (MIP) defined by rational data, it is known that the subadditive dual is a strong dual and that there exists an optimal solut…
A Dynamic Strategic Plan for the Transition to a Clean Bus Fleet using Multi-Stage Stochastic Programming with a Case Study in Istanbul
Neman Karimi, Burak Kocuk, Tugce Yuksel
In recent years, the transition to clean bus fleets has accelerated. Although this transition might bring environmental and economic benefits, it requires a long-term strategic pla…
Discretization-Based Solution Approaches for the Circle Packing Problem
Rabia Taşpınar, Burak Kocuk
The problem of packing a set of circles into the smallest surrounding container is considered. This problem arises in different application areas such as automobile, textile, food,…
Improved Rank-One-Based Relaxations and Bound Tightening Techniques for the Pooling Problem
Mosayeb Jalilian, Burak Kocuk
The pooling problem is a classical NP-hard problem in the chemical process and petroleum industries. This problem is modeled as a nonlinear, nonconvex network flow problem in which…
A Joint Chance-Constrained Stochastic Programming Approach for the Integrated Predictive Maintenance and Operations Scheduling Problem in Power Systems
Bahar Cennet Okumusoglu, Beste Basciftci, Burak Kocuk
Maintenance planning plays a key role in power system operations under uncertainty by helping system operators ensure a reliable and secure power grid. This paper studies a short-t…
An MISOCP-Based Decomposition Approach for the Unit Commitment Problem with AC Power Flows
Deniz Tuncer, Burak Kocuk
Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-o…
Node-based valid inequalities for the optimal transmission switching problem
Santanu S. Dey, Burak Kocuk, Nicole Redder
The benefits of transmission line switching are well-known in terms of reducing operational cost and improving system reliability of power systems. However, finding the optimal pow…
The Promise of EV-Aware Multi-Period OPF Problem: Cost and Emission Benefits
Sezen Ece Kayacık, Burak Kocuk, Tuğçe Yüksel
In this paper, we study the Multi-Period Optimal Power Flow problem (MOPF) with electric vehicles (EV) under emission considerations. We integrate three different real-world datase…
Conic Reformulations for Kullback-Leibler Divergence Constrained Distributionally Robust Optimization and Applications
Burak Kocuk
In this paper, we consider a distributionally robust optimization (DRO) model in which the ambiguity set is defined as the set of distributions whose Kullback-Leibler (KL) divergen…
An MISOCP-Based Solution Approach to the Reactive Optimal Power Flow Problem
Sezen Ece Kayacık, Burak Kocuk
In this letter, we present an alternative mixed-integer non-liner programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order…
Optimization Problems Involving Matrix Multiplication with Applications in Material Science and Biology
Burak Kocuk
We consider optimization problems involving the multiplication of variable matrices to be selected from a given family, which might be a discrete set, a continuous set or a combina…