Open Journal of Mathematical Optimization

Optimizing transient gas network control for challenging real-world instances using MIP-based heuristics
Felix Hennings1; Kai Hoppmann-Baum2; Janina Zittel2
1 Technische Universität Berlin Chair of Software and Algorithms for Discrete Optimization Straße des 17. Juni 135, 10623 Berlin, Germany
2 Zuse Institute Berlin Applied Algorithmic Intelligence Methods Department Takustraße 7, 14195 Berlin, Germany
Open Journal of Mathematical Optimization, Volume 5 (2024), article no. 1, 34 p.

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and non-convex nature of the physical and technical principles of gas transport. In this paper, we present the latest improvements of our ongoing work to tackle this problem for real-world, large-scale problem instances: By adjusting our mixed-integer non-linear programming model regarding the gas compression capabilities in the network, we reflect the technical limits of the underlying units more accurately while maintaining a similar overall model size. In addition, we introduce a new algorithmic approach that is based on splitting the complexity of the problem by first finding assignments for discrete variables and then determining the continuous variables as locally optimal solution of the corresponding non-linear program. For the first task, we design multiple different heuristics based on concepts for general time-expanded optimization problems that find solutions by solving a sequence of sub-problems defined on reduced time horizons. To demonstrate the competitiveness of our approach, we test our algorithm on particularly challenging historical demand scenarios. The results show that high-quality solutions are obtained reliably within short run times, making the algorithm well-suited to be applied at the core of time-critical industrial applications.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/ojmo.29
Mots-clés : Transient Gas Network Optimization, Sequential Mixed-Integer Programming, Rolling Horizon Heuristic, Aggregated Horizon Heuristic, Real-World Historical Instances, Industry-Ready
Felix Hennings 1; Kai Hoppmann-Baum 2; Janina Zittel 2

1 Technische Universität Berlin Chair of Software and Algorithms for Discrete Optimization Straße des 17. Juni 135, 10623 Berlin, Germany
2 Zuse Institute Berlin Applied Algorithmic Intelligence Methods Department Takustraße 7, 14195 Berlin, Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Felix Hennings; Kai Hoppmann-Baum; Janina Zittel. Optimizing transient gas network control for challenging real-world instances using MIP-based heuristics. Open Journal of Mathematical Optimization, Volume 5 (2024), article  no. 1, 34 p. doi : 10.5802/ojmo.29. https://ojmo.centre-mersenne.org/articles/10.5802/ojmo.29/

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