TY  - CONF
A1  - Altherr, Lena
A1  - Ederer, Thorsten
A1  - Schänzle, Christian
A1  - Lorenz, Ulf
A1  - Pelz, Peter F.
T1  - Algorithmic system design using scaling and affinity laws
T2  - Operations Research Proceedings 2015
N2  - 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.
KW  - Optimal Topology
KW  - Piecewise Linearization
KW  - Ventilation System
KW  - Similarity Theory
Y1  - 2017
UR  - https://opus.bibliothek.fh-aachen.de/opus4/frontdoor/index/index/docId/9808
SN  - 978-3-319-42901-4
SN  - 978-3-319-42902-1
N1  - International Conference of the German, Austrian and Swiss Operations Research Societies (GOR, ÖGOR, SVOR/ASRO), University of Vienna, Austria, September 1-4, 2015
SP  - 605
EP  - 611
PB  - Springer
CY  - Cham
ER  -