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Stabilized Benders decomposition for energy planning under climate uncertainty

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  • Göke, Leonard
  • Schmidt, Felix
  • Kendziorski, Mario

Abstract

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for Benders decomposition to the problem’s characteristics—a simple continuous master-problem, and few but large sub-problems. The primary focus is stabilization, specifically comparing established bundle methods to a quadratic trust-region approach for continuous problems.

Suggested Citation

  • Göke, Leonard & Schmidt, Felix & Kendziorski, Mario, 2024. "Stabilized Benders decomposition for energy planning under climate uncertainty," European Journal of Operational Research, Elsevier, vol. 316(1), pages 183-199.
    • Handle: RePEc:eee:ejores:v:316:y:2024:i:1:p:183-199
    DOI: 10.1016/j.ejor.2024.01.016
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