Abstract
We apply the JuDGE optimization package to a multistage stochastic leader-follower model that determines a transmission capacity expansion plan to maximize expected social welfare of consumers and producers who act as Cournot oligopolists in each time period. The problem is formulated as a large-scale mixed integer programme and applied to a 5-bus instance over scenario trees of varying size. The computational effort required by JuDGE is compared with solving the deterministic equivalent mixed integer programme using a state-of-the-art integer programming package. This article is part of the theme issue 'The mathematics of energy systems'.
Originalsprache | englisch |
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Aufsatznummer | 20190436 |
Fachzeitschrift | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Jahrgang | 379 |
Ausgabenummer | 2202 |
DOIs | |
Publikationsstatus | Veröffentlicht - 26 Juli 2021 |
ASJC Scopus subject areas
- Mathematik (insg.)
- Ingenieurwesen (insg.)
- Physik und Astronomie (insg.)