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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

Data-Boosted Optimization for AC Optimal Power Flow: Interior-Point and Spatial Branching Methods

Ignacio Repiso, Salvador Pineda, Juan Miguel Morales

The AC Optimal Power Flow (AC-OPF) problem is a non-convex, NP-hard optimization task essential for secure and economic power system operation. While interior-point methods are wid…

math.OC2026

The Sweet Spot of Bound Tightening for Topology Optimization

Salvador Pineda, Juan Miguel Morales

Topology optimization has emerged as a powerful and increasingly relevant strategy for enhancing the flexibility and efficiency of power system operations. However, solving these p…

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…

math.OC2025

Linear and Second-order-cone Valid Inequalities for Problems with Storage

Juan M. Morales

Batteries are playing an increasingly central role as distributed energy resources in the shift toward power systems dominated by renewable energy sources. However, existing batter…