Algorithmic system design using scaling and affinity laws

  • Energy-efficient components do not automatically lead to energy-efficient systems. Technical Operations Research (TOR) shifts the focus from the single component to the system as a whole and finds its optimal topology and operating strategy simultaneously. In previous works, we provided a preselected construction kit of suitable components for the algorithm. This approach may give rise to a combinatorial explosion if the preselection cannot be cut down to a reasonable number by human intuition. To reduce the number of discrete decisions, we integrate laws derived from similarity theory into the optimization model. Since the physical characteristics of a production series are similar, it can be described by affinity and scaling laws. Making use of these laws, our construction kit can be modeled more efficiently: Instead of a preselection of components, it now encompasses whole model ranges. This allows us to significantly increase the number of possible set-ups in our model. In this paper, we present how to embed this new formulation into a mixed-integer program and assess the run time via benchmarks. We present our approach on the example of a ventilation system design problem.

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Author:Lena Altherr, Thorsten Ederer, Christian Schänzle, Ulf Lorenz, Peter F. Pelz
Parent Title (English):Operations Research Proceedings 2015
Place of publication:Cham
Document Type:Conference Proceeding
Year of Completion:2017
Date of the Publication (Server):2022/01/12
Tag:Optimal Topology; Piecewise Linearization; Similarity Theory; Ventilation System
First Page:605
Last Page:611
International Conference of the German, Austrian and Swiss Operations Research Societies (GOR, ÖGOR, SVOR/ASRO), University of Vienna, Austria, September 1-4, 2015
Institutes:FH Aachen / Fachbereich Elektrotechnik und Informationstechnik