Abstract: In this paper, we propose a trilinear optimization formulation and four mixed integer bilinear formulations to compute the Nash equilibria of a 2-player discounted stochastic game. The ...

Integer programming and combinatorial optimization form the backbone of many decision-making and resource allocation problems across diverse fields, from logistics and telecommunications to finance ...

Abstract: In the activation market, the Transmission System Operator selects and activates balancing energy bids to cover the system imbalance. Growing use of intermittent energy sources increases ...

This repository accompanies the paper “Distributionally Robust Optimization with Integer Recourse: Convex Reformulations and Critical Recourse Decisions”, available as an e-print on Optimization ...

Mathematical programming – the task of expressing operations and decision-making problems in precise mathematical language – is fundamental across domains, yet remains a skill-intensive process ...

Intensity-modulated proton therapy (IMPT) offers superior dose conformity with reduced exposure to surrounding healthy tissues compared to conventional photon therapy. Improving IMPT delivery ...

This course examines formulation and solution of applicable optimization models, including linear, integer, nonlinear, and network problems, efficient algorithm methods, and use of computer modeling ...