caa a22 4500 445877952 CHVBK 20180317145533.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11081-010-9104-4 doi (NATIONALLICENCE)springer-10.1007/s11081-010-9104-4 Parallel sensitivity analysis for efficient large-scale dynamic optimization [Elektronische Daten] [Arndt Hartwich, Klaus Stockmann, Christian Terboven, Stefan Feuerriegel, Wolfgang Marquardt] An efficient parallel algorithm for the computation of parametric sensitivities for differential-algebraic equations (DAEs) with a focus on dynamic optimization problems is presented. Aspeedup of about 4 can be obtained for process models of more than 13500 DAEs and 75 parameters employing 8 processor cores in parallel using a Windows based system. The algorithm obtains its efficiency by decoupling the sensitivity equations from the state equations of the DAE. Furthermore, the costly Jacobian matrices are computed separately by other processes. The computational effort for a combined state and sensitivity integration can almost be reduced to the computational effort of the pure state integration, which is the theoretical limit of the suggested approach. Springer Science+Business Media, LLC, 2010 Dynamic optimization nationallicence Parallel programming nationallicence Single-shooting nationallicence Sequential approach nationallicence Sensitivity analysis nationallicence Optimal control nationallicence Windows nationallicence Hartwich Arndt Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Turmstr. 46, 52064, Aachen, Germany aut Stockmann Klaus Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Turmstr. 46, 52064, Aachen, Germany aut Terboven Christian Center for Computing and Communication, RWTH Aachen University, Seffenter Weg 23, 52074, Aachen, Germany aut Feuerriegel Stefan Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Aachen, Germany aut Marquardt Wolfgang Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Turmstr. 46, 52064, Aachen, Germany aut Optimization and Engineering Springer US; http://www.springer-ny.com 12/4(2011-12-01), 489-508 1389-4420 12:4<489 2011 12 11081 https://doi.org/10.1007/s11081-010-9104-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11081-010-9104-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hartwich Arndt Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Turmstr. 46, 52064, Aachen, Germany aut NATIONALLICENCE 700 1- Stockmann Klaus Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Turmstr. 46, 52064, Aachen, Germany aut NATIONALLICENCE 700 1- Terboven Christian Center for Computing and Communication, RWTH Aachen University, Seffenter Weg 23, 52074, Aachen, Germany aut NATIONALLICENCE 700 1- Feuerriegel Stefan Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Aachen, Germany aut NATIONALLICENCE 700 1- Marquardt Wolfgang Aachener Verfahrenstechnik—Prozesstechnik, RWTH Aachen University, Turmstr. 46, 52064, Aachen, Germany aut NATIONALLICENCE 773 0- Optimization and Engineering Springer US; http://www.springer-ny.com 12/4(2011-12-01), 489-508 1389-4420 12:4<489 2011 12 11081 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer