Modeling Resource Markets:

Advanced Methods of Operations Research

This course investigates strategic interactions in energy resource markets and covers advanced optimization and equilibrium concepts to solve the associated models. It aims to provide participants with a strong theoretical understanding of Generalized Nash games, leader-follower Stackelberg games, and the related mathematical concepts of (Quasi-) Variational Inequalites (VI and QVI), Mixed Complementarity Problems, and Mathematical/Equilibrium Problems under Equilibrium Constraints (MPEC/EPEC). The practical part of the course covers applications of these methodologies to energy market problems, based on examples from the recent literature, and case studies in the oil, natural gas, and coal sector.

Participants are expected to have a basic  knowledge of nonlinear optimization, mixed complementarity problems, Karush-Kuhn-Tucker conditions and convexity in higher dimensions as well as hands-on experience in GAMS.

Modeling Multiple Leaders and

Followers using Equilibrium Problems under Equilibrium Constraints

This two-day course investigates strategic interaction in energy markets and covers several optimization and equilibrium concepts to solve the associated models. We aim to provide (PhD-) students with a strong theoretical understanding of Generalized Nash games and leader-follower Stackelberg games, and the related mathematical concepts of (Quasi-) Variational Inequalites (VI and QVI), Mixed Complementarity Problems (MCP), Mathematical/Equilibrium Problems under Equilibrium Constraints (MPEC/EPEC). Applications of these methodologies to energy market problems will be covered in the practical part of the course, based on examples from recent literature.

Participants should have a thorough knowledge of nonlinear optimization, mixed complementarity problems, Karush-Kuhn-Tucker conditions and convexity in higher dimensions as well as hands-on experience in GAMS.

Operations

Research 3

Operations Research 3 teaches students to use applied mathematics to solve advanced economic and technical optimization problems. This intensive weeklong training program is tailored towards students with backgrounds in economic computer science, industrial engineering and similar fields. Participants are expected to have a basic knowledge of nonlinear optimization, mixed complementarity problems, Karush-Kuhn-Tucker conditions and convexity in higher dimensions as well as hands-on experience in GAMS.