Abstract
The two most significant life cycle phases of products or systems are the design and operation phase. Both share their incredibly high level of complexity due to the available diversity in components, operating settings and interconnection variants. In the design process, two-stage stochastic optimisation problems have proven to be suitable, in which the operation is anticipated by considering various demand scenarios. Since the operation is characterised by uncertainty and fluctuation, it has to be ensured that the operation is also realised in an optimal way. In this contribution we show how the original planning problem is transformed into a control problem using the example of a pumping system.
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References
Löfberg, J.: YALMIP: a toolbox for modeling and optimization in MATLAB. In: In Proceedings of the CACSD Conference. Taipei, Taiwan (2004)
Müller, T.M., Altherr, L.C., Leise, P., Pelz, P.F.: Optimization of pumping systems for buildings: experimental validation of different degrees of model detail on a modular test rig. In: Neufeld, J.S., Buscher, U., Lasch, R., Möst, D., Schönberger, J. (eds.) Operations Research Proceedings 2019. ORP, pp. 481–488. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-48439-2_58
Müller, T.M., Leise, P., Lorenz, I.-S., Altherr, L.C., Pelz, P.F.: Optimization and validation of pumping system design and operation for water supply in high-rise buildings. Optim. Eng. 22(2), 643–686 (2020). https://doi.org/10.1007/s11081-020-09553-4
Pelz, P.F., Groche, P., Pfetsch, M., Schäffner, M. (eds.): Mastering Uncertainty in Mechanical Engineering. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-78354-9
Shapiro, A., Philpott, A.: A Tutorial on Stochastic Programming (2007)
Vigerske, S., Gleixner, A.: SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework. Optim. Methods Softw. 12, 1–31 (2017). https://doi.org/10.1080/10556788.2017.1335312
Acknowledgment
Results were obtained in project No. 17482 N/1, funded by the German Federal Ministry of Economic Affairs and Energy (BMWi) approved by the Arbeitsgemeinschaft industrieller Forschungsvereinigungen “Otto von Guericke” e.V. (AiF).
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Müller, T.M., Knoche, C., Pelz, P.F. (2022). From Design to Operation: Mixed-Integer Model Predictive Control Applied to a Pumping System. In: Trautmann, N., Gnägi, M. (eds) Operations Research Proceedings 2021. OR 2021. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-08623-6_47
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DOI: https://doi.org/10.1007/978-3-031-08623-6_47
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