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math.OC2026

Scenario Reduction for Two-Stage Stochastic Mixed-Integer Programs

Yannick Werner, Juan Miguel Morales, Salvador Pineda +2

The paper proposes a new transportation cost function and a hybrid algorithm for reducing scenarios in two-stage stochastic mixed-integer programs, demonstrating high solution accu…

math.OC2026

Towards time-variant scenario reduction for energy system optimization modeling under uncertainty

Yannick Werner, Juan Miguel Morales, Salvador Pineda +1

Stochastic programming has become a popular tool for supporting decision-making under uncertainty in the long-term planning of energy systems. Existing scenario reduction methods,…

math.OC2026

Modelling the Correlation Structure of Uncertain Input Parameters for Energy System Optimization

Klara Maggauer, Yannick Werner, Stefan Strömer +1

Statistical dependence among uncertain input parameters in stochastic energy system optimization models is often ignored, even though this can substantially bias outcomes. To addre…

math.OC2026

Voltage-Aware Grid Aggregation: Expanding the European High-Voltage Network

Benjamin Stöckl, Marco Anarmo, Sonja Wogrin +1

Energy system optimization models are indispensable for planning the European energy transition. Yet their applicability is constrained by the fundamental trade-off between spatial…

math.OC2026

Mapping Austria's Natural Gas and Hydrogen Infrastructure Plans

Marco Quantschnig, Yannick Werner, Thomas Klatzer +1

This paper presents a comprehensive, spatially disaggregated dataset of Austria's natural gas and hydrogen infrastructure towards 2040. The dataset covers the complete gas transmis…

math.OC2025

Scenario Reduction for the Two-Stage Stochastic Unit Commitment Problem

Yannick Werner, Juan Miguel Morales, Salvador Pineda +2

The two-stage stochastic unit commitment problem has become an important tool to support decision-making under uncertainty in power systems. Representing the uncertainty by a large…