In this paper, we propose a model for an energy broker who acts as a third party between the grid and its clients, through the maintenance of a two-sided po...

This paper provides new results on the application of semidefinite optimization to satisfiability by studying the connection between semidefinite optimizatio...

Hybrid power systems for off-grid sites are commonly designed using simulation. Operating rules for the controller dispatch strategy are defined, and a sim...

Generation Expansion Planning (GEP) with load uncertainty is modeled in this paper using chance constrained programming, and new iterative solution algorit...

Many important NP-hard combinatorial problems can be efficiently approximated using semidefinite programming relaxations. We propose a new hierarchy of sem...

This paper deals with the development of an efficient iterative method to solve the chance-constrained generation expansion planning (GEP) problem. Reliabili...

The integer least squares problem is an important problem that arises in numerous applications. We propose a real relaxation-based branch-and-bound (RRBB) ...

The unit commitment problem is a fundamental problem in the operation of power systems. The purpose of unit commitment is to minimize the system-wide cost o...

The past decade has seen advances in general methods for symmetry breaking in mixed-integer linear programming. These methods are advantageous for general ...

This paper is concerned with computing global optimal solutions for maximum k-cut problems. We improve on the SBC algorithm of Ghaddar, Anjos and Liers in...

This paper presents the design, implementation, and the first experimental results of an architecture for autonomous demand-side load management (ADSM) syste...

A minimum equicut of an edge-weighted graph is a partition of the nodes of the graph into two sets of equal size such that the sum of the weights of ed...

Facility layout is a well-known operations research problem that arises in numerous areas of applications. The multi-row facility layout problem is concerne...

This paper presents a system architecture for demand side load management in the Smart Grid, which is composed of three main modules for admission control, l...

We present a new primal-dual interior-point algorithm for linear programming problems with equality and inequality constraints. The inequality constraints ar...

This paper explores new connections between the satisfiability problem and semidefinite programming. We show how the process of resolution in satisfiability...

This chapter provides an overview of cone optimization models for facility layout and VLSI floorplanning problems. We focus on two classes of problems to w...

The maximum-stable-set and maximum-clique problems are operations research problems that arise in numerous areas such as social networking, electrical engin...

We present a three-stage method using mathematical-programming techniques for finding high-quality solutions to the multi-floor facility layout problem. The...

The presence of symmetry is common in certain types of scheduling problems. Symmetry can occur when one is scheduling a collection of jobs on multiple identi...