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Polyhedral Risk Measures and Lagrangian Relaxation in Electricity Portfolio Optimization

机译:电力组合优化中的多面体风险度量与拉格朗日松弛

摘要

We present a multistage stochastic programming model for mean-risk optimization of electricity portfolios containing physical components and energy derivative products. Stochasticity enters the model via the uncertain (time-dependent) prices and electricity demand. The objective is to maximize the expected overall revenue and, simultaneously, to minimize a multiperiod risk measure, i.e., a risk measure that takes into account the intermediate time cash values. We compare the effect of different multiperiod risk measures taken from the class of polyhedral risk measures which was suggested in our earlier work. Furthermore, we discuss how such a mean-risk optimization problem can be solved by dual decomposition techniques (Lagrangian relaxation).
机译:我们提出了一个多阶段随机规划模型,用于对包含物理组件和能源衍生产品的电力投资组合进行平均风险优化。随机性通过不确定的(随时间而定)的价格和电力需求进入模型。目的是最大化预期的总收入,同时最小化多期风险度量,即考虑到中间时间现金价值的风险度量。我们比较了我们早期工作中建议的多面体风险措施类别中不同的多期风险措施的效果。此外,我们讨论了如何通过对偶分解技术(拉格朗日松弛)来解决这种均值风险优化问题。

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