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The aim of this chapter is to present a sensitivity method for studying a minimum cost transport problem under demand uncertainty. This uncertainty makes the solution of optimal flows and optimal cost to be studied as random variables. We discuss the impact of demand uncertainty on the optimal solution as well as on the variability of the solution. We analyze the worst- and best-case scenarios and provide recommendations for decision-makers. This chapter is a valuable contribution to the field of energy systems and provides insights into the impact of demand uncertainty on the minimum cost energy flow problem.

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The Minimum Cost Energy Flow Problem Under Demand Uncertainty. Effect on Optimal Solution, Variability, Worst- and Best-Case Scenarios

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  • 发表日期：

    2025年

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  • Nick C. Poulios,
  • Evangelos Melas,
  • Maria Livada

摘要

The aim of this chapter is to present a sensitivity method for studying a minimum cost transport problem under demand uncertainty. This uncertainty makes the solution of optimal flows and optimal cost to be studied as random variables. We discuss the impact of demand uncertainty on the optimal solution as well as on the variability of the solution. We analyze the worst- and best-case scenarios and provide recommendations for decision-makers. This chapter is a valuable contribution to the field of energy systems and provides insights into the impact of demand uncertainty on the minimum cost energy flow problem.