---
_id: '7257'
abstract:
- lang: eng
  text: Solving inverse static initialization problems, in which the outputs of a
    process are prescribed, is often more numerically challenging than solving direct
    initialization problem, where inputs are fixed instead. This paper proposes the
    introduction of a new initialSimplified() operator in Modelica, which allows to
    solve inverse problems with the same reliability as direct problems, using an
    intuitive, straightforward Modelica formulation. The proposed solution can be
    trivially implemented in Modelica tools and will be 100% portable among them,
    once the new operator is standardized. The usefulness of the proposed approach
    is demonstrated on a conceptual thermal power generation plant model.
author:
- first_name: Francesco
  full_name: Casella, Francesco
  last_name: Casella
- first_name: Philip
  full_name: Hannebohm, Philip
  id: '221456'
  last_name: Hannebohm
  orcid: 0009-0003-8902-9079
  orcid_put_code_url: https://api.orcid.org/v2.0/0009-0003-8902-9079/work/231825701
- first_name: Matteo Luigi De
  full_name: Pascali, Matteo Luigi De
  last_name: Pascali
conference:
  end_date: 2026-09-22
  location: Hangzhou, China
  name: Asian Modelica & FMI Conference
  start_date: 2026-09-20
date_created: 2026-10-31T14:00:35Z
date_updated: 2026-10-31T14:01:59Z
department:
- _id: '103'
doi: 10.3384/ecp22331
file:
- access_level: open_access
  content_type: application/pdf
  creator: phannebohm
  date_created: 2026-10-31T13:55:33Z
  date_updated: 2026-10-31T13:55:33Z
  file_id: '7258'
  file_name: AMFC2026_paper_T1S2P1.pdf
  file_size: 413909
  relation: main_file
  success: 1
file_date_updated: 2026-10-31T13:55:33Z
has_accepted_license: '1'
intvolume: '       223'
keyword:
- Modelica language
- initialization
- homotopy
- convergence problems
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ecp.ep.liu.se/index.php/modelica/article/view/1653
oa: '1'
publication: Proceedings of the Asian Modelica & FMI Conference Hangzhou, China, September
  20-22, 2026
publication_identifier:
  eisbn:
  - 978-91-8118-699-4
publication_status: published
publisher: Linköping University Electronic Press
quality_controlled: '1'
series_title: Linköping Electronic Conference Proceedings
status: public
title: 'Robust solution of inverse static problems in Modelica: the case for the initialSimplified()
  operator'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
urn: urn:nbn:de:hbz:bi10-72570
user_id: '221456'
volume: 223
year: '2026'
...
---
_id: '6359'
author:
- first_name: Linus
  full_name: Langenkamp, Linus
  id: '240430'
  last_name: Langenkamp
  orcid: 0009-0009-7517-4842
  orcid_put_code_url: https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284
- first_name: Philip
  full_name: Hannebohm, Philip
  id: '221456'
  last_name: Hannebohm
  orcid: 0009-0003-8902-9079
  orcid_put_code_url: https://api.orcid.org/v2.0/0009-0003-8902-9079/work/198540286
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/198540287
citation:
  alphadin: '<span style="font-variant:small-caps;">Langenkamp, Linus</span> ; <span
    style="font-variant:small-caps;">Hannebohm, Philip</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span>: Efficient Training of Physics-enhanced Neural ODEs via Direct
    Collocation and Nonlinear Programming. In: <span style="font-variant:small-caps;">Zimmer,
    D.</span> ; <span style="font-variant:small-caps;">Müller, U. C.</span> (Hrsg.):
    <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>. Bd.
    218 : Linköping University Electronic Press, 2025, S. 445–457'
  ama: 'Langenkamp L, Hannebohm P, Bachmann B. Efficient Training of Physics-enhanced
    Neural ODEs via Direct Collocation and Nonlinear Programming. In: Zimmer D, Müller
    UC, eds. <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>.
    Vol 218. Linköping University Electronic Press; 2025:445-457. doi:<a href="https://doi.org/10.3384/ecp218445">10.3384/ecp218445</a>'
  apa: 'Langenkamp, L., Hannebohm, P., &#38; Bachmann, B. (2025). Efficient Training
    of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming.
    In D. Zimmer &#38; U. C. Müller (Eds.), <i>Proceedings of the 16th International
    Modelica&#38;FMI Conference</i> (Vol. 218, pp. 445–457). Luzern: Linköping University
    Electronic Press. <a href="https://doi.org/10.3384/ecp218445">https://doi.org/10.3384/ecp218445</a>'
  bibtex: '@inproceedings{Langenkamp_Hannebohm_Bachmann_2025, title={Efficient Training
    of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming},
    volume={218}, DOI={<a href="https://doi.org/10.3384/ecp218445">10.3384/ecp218445</a>},
    booktitle={Proceedings of the 16th International Modelica&#38;FMI Conference},
    publisher={Linköping University Electronic Press}, author={Langenkamp, Linus and
    Hannebohm, Philip and Bachmann, Bernhard}, editor={Zimmer, Dirk and Müller, Ulf
    ChristianEditors}, year={2025}, pages={445–457} }'
  chicago: Langenkamp, Linus, Philip Hannebohm, and Bernhard Bachmann. “Efficient
    Training of Physics-Enhanced Neural ODEs via Direct Collocation and Nonlinear
    Programming.” In <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>,
    edited by Dirk Zimmer and Ulf Christian Müller, 218:445–57. Linköping University
    Electronic Press, 2025. <a href="https://doi.org/10.3384/ecp218445">https://doi.org/10.3384/ecp218445</a>.
  ieee: L. Langenkamp, P. Hannebohm, and B. Bachmann, “Efficient Training of Physics-enhanced
    Neural ODEs via Direct Collocation and Nonlinear Programming,” in <i>Proceedings
    of the 16th International Modelica&#38;FMI Conference</i>, Luzern, 2025, vol.
    218, pp. 445–457.
  mla: Langenkamp, Linus, et al. “Efficient Training of Physics-Enhanced Neural ODEs
    via Direct Collocation and Nonlinear Programming.” <i>Proceedings of the 16th
    International Modelica&#38;FMI Conference</i>, edited by Dirk Zimmer and Ulf Christian
    Müller, vol. 218, Linköping University Electronic Press, 2025, pp. 445–57, doi:<a
    href="https://doi.org/10.3384/ecp218445">10.3384/ecp218445</a>.
  short: 'L. Langenkamp, P. Hannebohm, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.),
    Proceedings of the 16th International Modelica&#38;FMI Conference, Linköping University
    Electronic Press, 2025, pp. 445–457.'
conference:
  end_date: 2025-09-10
  location: Luzern
  name: The 16th International Modelica&FMI Conference
  start_date: 2025-09-08
date_created: 2025-12-02T13:49:45Z
date_updated: 2026-06-09T07:22:33Z
department:
- _id: '103'
doi: 10.3384/ecp218445
editor:
- first_name: Dirk
  full_name: Zimmer, Dirk
  last_name: Zimmer
- first_name: Ulf Christian
  full_name: Müller, Ulf Christian
  last_name: Müller
file:
- access_level: open_access
  content_type: application/pdf
  creator: llangenkamp
  date_created: 2025-12-02T13:48:28Z
  date_updated: 2025-12-02T13:48:28Z
  file_id: '6360'
  file_name: paper.pdf
  file_size: 11486460
  relation: main_file
  success: 1
file_date_updated: 2025-12-02T13:48:28Z
has_accepted_license: '1'
intvolume: '       218'
keyword:
- Physics-enhanced Neural ODEs
- Dynamic Optimization
- Nonlinear Programming
- Modelica
- NeuralODEs
- Universal Differential Equations
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
page: 445 - 457
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publication: Proceedings of the 16th International Modelica&FMI Conference
publication_status: published
publisher: Linköping University Electronic Press
status: public
title: Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and
  Nonlinear Programming
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
urn: urn:nbn:de:hbz:bi10-63592
user_id: '250307'
volume: 218
year: '2025'
...
---
_id: '1503'
author:
- first_name: Patrick
  full_name: Täuber, Patrick
  last_name: Täuber
- first_name: Lennart
  full_name: Ochel, Lennart
  last_name: Ochel
- first_name: Willi
  full_name: Braun, Willi
  last_name: Braun
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900655
citation:
  alphadin: '<span style="font-variant:small-caps;">Täuber, Patrick</span> ; <span
    style="font-variant:small-caps;">Ochel, Lennart</span> ; <span style="font-variant:small-caps;">Braun,
    Willi</span> ; <span style="font-variant:small-caps;">Bachmann, Bernhard</span>:
    Practical realization and adaptation of Cellier’s tearing method. In: <i>Proceedings
    of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages
    and Tools - EOOLT ’14</i>. New York, New York, USA : ACM Press, 2014, S. 11–19'
  ama: 'Täuber P, Ochel L, Braun W, Bachmann B. Practical realization and adaptation
    of Cellier’s tearing method. In: <i>Proceedings of the 6th International Workshop
    on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT ’14</i>.
    New York, New York, USA: ACM Press; 2014:11-19. doi:<a href="https://doi.org/10.1145/2666202.2666204">10.1145/2666202.2666204</a>'
  apa: 'Täuber, P., Ochel, L., Braun, W., &#38; Bachmann, B. (2014). Practical realization
    and adaptation of Cellier’s tearing method. In <i>Proceedings of the 6th International
    Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT
    ’14</i> (pp. 11–19). New York, New York, USA: ACM Press. <a href="https://doi.org/10.1145/2666202.2666204">https://doi.org/10.1145/2666202.2666204</a>'
  bibtex: '@inproceedings{Täuber_Ochel_Braun_Bachmann_2014, place={New York, New York,
    USA}, title={Practical realization and adaptation of Cellier’s tearing method},
    DOI={<a href="https://doi.org/10.1145/2666202.2666204">10.1145/2666202.2666204</a>},
    booktitle={Proceedings of the 6th International Workshop on Equation-Based Object-Oriented
    Modeling Languages and Tools - EOOLT ’14}, publisher={ACM Press}, author={Täuber,
    Patrick and Ochel, Lennart and Braun, Willi and Bachmann, Bernhard}, year={2014},
    pages={11–19} }'
  chicago: 'Täuber, Patrick, Lennart Ochel, Willi Braun, and Bernhard Bachmann. “Practical
    Realization and Adaptation of Cellier’s Tearing Method.” In <i>Proceedings of
    the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages
    and Tools - EOOLT ’14</i>, 11–19. New York, New York, USA: ACM Press, 2014. <a
    href="https://doi.org/10.1145/2666202.2666204">https://doi.org/10.1145/2666202.2666204</a>.'
  ieee: P. Täuber, L. Ochel, W. Braun, and B. Bachmann, “Practical realization and
    adaptation of Cellier’s tearing method,” in <i>Proceedings of the 6th International
    Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT
    ’14</i>, Berlin, Germany, 2014, pp. 11–19.
  mla: Täuber, Patrick, et al. “Practical Realization and Adaptation of Cellier’s
    Tearing Method.” <i>Proceedings of the 6th International Workshop on Equation-Based
    Object-Oriented Modeling Languages and Tools - EOOLT ’14</i>, ACM Press, 2014,
    pp. 11–19, doi:<a href="https://doi.org/10.1145/2666202.2666204">10.1145/2666202.2666204</a>.
  short: 'P. Täuber, L. Ochel, W. Braun, B. Bachmann, in: Proceedings of the 6th International
    Workshop on Equation-Based Object-Oriented Modeling Languages and Tools - EOOLT
    ’14, ACM Press, New York, New York, USA, 2014, pp. 11–19.'
conference:
  end_date: 2014-10-10
  location: Berlin, Germany
  name: 'EOOLT ''14: Proceedings of the 6th International Workshop on Equation-Based
    Object-Oriented Modeling Languages and Tool'
  start_date: 2014-10-10
date_created: 2021-11-09T13:11:38Z
date_updated: 2026-09-04T09:46:05Z
doi: 10.1145/2666202.2666204
keyword:
- tearing
- algebraic loop
- simulation performance
- tearingSelect
- Modelica
- OpenModelica
language:
- iso: eng
page: 11-19
place: New York, New York, USA
publication: Proceedings of the 6th International Workshop on Equation-Based Object-Oriented
  Modeling Languages and Tools - EOOLT '14
publication_identifier:
  isbn:
  - '9781450329538'
publication_status: published
publisher: ACM Press
status: public
title: Practical realization and adaptation of Cellier's tearing method
type: conference
user_id: '216066'
year: '2014'
...
---
_id: '1523'
author:
- first_name: Vitalij
  full_name: Ruge, Vitalij
  last_name: Ruge
- first_name: Willi
  full_name: Braun, Willi
  last_name: Braun
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900205
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Kshitij
  full_name: Kulshreshtha, Kshitij
  last_name: Kulshreshtha
citation:
  alphadin: '<span style="font-variant:small-caps;">Ruge, Vitalij</span> ; <span style="font-variant:small-caps;">Braun,
    Willi</span> ; <span style="font-variant:small-caps;">Bachmann, Bernhard</span>
    ; <span style="font-variant:small-caps;">Walther, Andrea</span> ; <span style="font-variant:small-caps;">Kulshreshtha,
    Kshitij</span>: Efficient Implementation of Collocation Methods for Optimization
    using OpenModelica and ADOL-C. In: <i>Proceedings of the 10th International Modelica
    Conference, March 10-12, 2014, Lund, Sweden</i>, <i>Linköping Electronic Conference
    Proceedings</i>. Bd. 96 : Linköping University Electronic Press, 2014, S. 1017–1025'
  ama: 'Ruge V, Braun W, Bachmann B, Walther A, Kulshreshtha K. Efficient Implementation
    of Collocation Methods for Optimization using OpenModelica and ADOL-C. In: <i>Proceedings
    of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden</i>.
    Vol 96. Linköping Electronic Conference Proceedings. Linköping University Electronic
    Press; 2014:1017-1025. doi:<a href="https://doi.org/10.3384/ecp140961017">10.3384/ecp140961017</a>'
  apa: 'Ruge, V., Braun, W., Bachmann, B., Walther, A., &#38; Kulshreshtha, K. (2014).
    Efficient Implementation of Collocation Methods for Optimization using OpenModelica
    and ADOL-C. In <i>Proceedings of the 10th International Modelica Conference, March
    10-12, 2014, Lund, Sweden</i> (Vol. 96, pp. 1017–1025). Lund / Schweden: Linköping
    University Electronic Press. <a href="https://doi.org/10.3384/ecp140961017">https://doi.org/10.3384/ecp140961017</a>'
  bibtex: '@inproceedings{Ruge_Braun_Bachmann_Walther_Kulshreshtha_2014, series={Linköping
    Electronic Conference Proceedings}, title={Efficient Implementation of Collocation
    Methods for Optimization using OpenModelica and ADOL-C}, volume={96}, DOI={<a
    href="https://doi.org/10.3384/ecp140961017">10.3384/ecp140961017</a>}, booktitle={Proceedings
    of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden},
    publisher={Linköping University Electronic Press}, author={Ruge, Vitalij and Braun,
    Willi and Bachmann, Bernhard and Walther, Andrea and Kulshreshtha, Kshitij}, year={2014},
    pages={1017–1025}, collection={Linköping Electronic Conference Proceedings} }'
  chicago: Ruge, Vitalij, Willi Braun, Bernhard Bachmann, Andrea Walther, and Kshitij
    Kulshreshtha. “Efficient Implementation of Collocation Methods for Optimization
    Using OpenModelica and ADOL-C.” In <i>Proceedings of the 10th International Modelica
    Conference, March 10-12, 2014, Lund, Sweden</i>, 96:1017–25. Linköping Electronic
    Conference Proceedings. Linköping University Electronic Press, 2014. <a href="https://doi.org/10.3384/ecp140961017">https://doi.org/10.3384/ecp140961017</a>.
  ieee: V. Ruge, W. Braun, B. Bachmann, A. Walther, and K. Kulshreshtha, “Efficient
    Implementation of Collocation Methods for Optimization using OpenModelica and
    ADOL-C,” in <i>Proceedings of the 10th International Modelica Conference, March
    10-12, 2014, Lund, Sweden</i>, Lund / Schweden, 2014, vol. 96, pp. 1017–1025.
  mla: Ruge, Vitalij, et al. “Efficient Implementation of Collocation Methods for
    Optimization Using OpenModelica and ADOL-C.” <i>Proceedings of the 10th International
    Modelica Conference, March 10-12, 2014, Lund, Sweden</i>, vol. 96, Linköping University
    Electronic Press, 2014, pp. 1017–25, doi:<a href="https://doi.org/10.3384/ecp140961017">10.3384/ecp140961017</a>.
  short: 'V. Ruge, W. Braun, B. Bachmann, A. Walther, K. Kulshreshtha, in: Proceedings
    of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden,
    Linköping University Electronic Press, 2014, pp. 1017–1025.'
conference:
  end_date: 2014-03-12
  location: Lund / Schweden
  name: ' 10th International Modelica Conference '
  start_date: 2014-03-10
date_created: 2021-11-09T14:46:39Z
date_updated: 2026-06-02T09:08:03Z
doi: 10.3384/ecp140961017
intvolume: '        96'
keyword:
- Modelica
- optimization
- automatic differentiation
- collocation
- OpenModelica
- ADOL-C
language:
- iso: eng
page: 1017-1025
publication: Proceedings of the 10th International Modelica Conference, March 10-12,
  2014, Lund, Sweden
publication_identifier:
  isbn:
  - 978-91-7519-380-9
publication_status: published
publisher: Linköping University Electronic Press
series_title: Linköping Electronic Conference Proceedings
status: public
title: Efficient Implementation of Collocation Methods for Optimization using OpenModelica
  and ADOL-C
type: conference
user_id: '33976'
volume: 96
year: '2014'
...
---
_id: '1509'
author:
- first_name: Sabrina
  full_name: Proß, Sabrina
  last_name: Proß
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900678
citation:
  alphadin: '<span style="font-variant:small-caps;">Proß, Sabrina</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span>: An object-oriented Petri net simulation tool for hybrid biological
    processes. In: <i>it – Information Technology</i> Bd. 56, Walter de Gruyter GmbH
    (2014), Nr. 2, S. 55–66'
  ama: Proß S, Bachmann B. An object-oriented Petri net simulation tool for hybrid
    biological processes. <i>it – Information Technology</i>. 2014;56(2):55-66. doi:<a
    href="https://doi.org/10.1515/itit-2013-1027">10.1515/itit-2013-1027</a>
  apa: Proß, S., &#38; Bachmann, B. (2014). An object-oriented Petri net simulation
    tool for hybrid biological processes. <i>It – Information Technology</i>, <i>56</i>(2),
    55–66. <a href="https://doi.org/10.1515/itit-2013-1027">https://doi.org/10.1515/itit-2013-1027</a>
  bibtex: '@article{Proß_Bachmann_2014, title={An object-oriented Petri net simulation
    tool for hybrid biological processes}, volume={56}, DOI={<a href="https://doi.org/10.1515/itit-2013-1027">10.1515/itit-2013-1027</a>},
    number={2}, journal={it – Information Technology}, publisher={Walter de Gruyter
    GmbH}, author={Proß, Sabrina and Bachmann, Bernhard}, year={2014}, pages={55–66}
    }'
  chicago: 'Proß, Sabrina, and Bernhard Bachmann. “An Object-Oriented Petri Net Simulation
    Tool for Hybrid Biological Processes.” <i>It – Information Technology</i> 56,
    no. 2 (2014): 55–66. <a href="https://doi.org/10.1515/itit-2013-1027">https://doi.org/10.1515/itit-2013-1027</a>.'
  ieee: S. Proß and B. Bachmann, “An object-oriented Petri net simulation tool for
    hybrid biological processes,” <i>it – Information Technology</i>, vol. 56, no.
    2, pp. 55–66, 2014.
  mla: Proß, Sabrina, and Bernhard Bachmann. “An Object-Oriented Petri Net Simulation
    Tool for Hybrid Biological Processes.” <i>It – Information Technology</i>, vol.
    56, no. 2, Walter de Gruyter GmbH, 2014, pp. 55–66, doi:<a href="https://doi.org/10.1515/itit-2013-1027">10.1515/itit-2013-1027</a>.
  short: S. Proß, B. Bachmann, It – Information Technology 56 (2014) 55–66.
date_created: 2021-11-09T13:15:53Z
date_updated: 2026-03-17T15:28:21Z
doi: 10.1515/itit-2013-1027
intvolume: '        56'
issue: '2'
keyword:
- ACM CSS→Computing methodologies→Modeling and simulation
- Petri nets
- Modelica
- xHPN
- PNlib
- Hybrid Modeling
language:
- iso: eng
page: 55-66
publication: it – Information Technology
publication_identifier:
  eissn:
  - 2196-7032
  issn:
  - 1611-2776
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: An object-oriented Petri net simulation tool for hybrid biological processes
type: journal_article
user_id: '35437'
volume: 56
year: '2014'
...
---
_id: '1514'
author:
- first_name: Sabrina
  full_name: Proß, Sabrina
  last_name: Proß
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900347
citation:
  alphadin: '<span style="font-variant:small-caps;">Proß, Sabrina</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span>: Hybrid Modelling and Process Optimization of Biological Systems.
    In: <i>IFAC Proceedings Volumes</i> Bd. 45, Elsevier BV (2012), Nr. 2, S. 1041–1046'
  ama: Proß S, Bachmann B. Hybrid Modelling and Process Optimization of Biological
    Systems. <i>IFAC Proceedings Volumes</i>. 2012;45(2):1041-1046. doi:<a href="https://doi.org/10.3182/20120215-3-AT-3016.00184">10.3182/20120215-3-AT-3016.00184</a>
  apa: Proß, S., &#38; Bachmann, B. (2012). Hybrid Modelling and Process Optimization
    of Biological Systems. <i>IFAC Proceedings Volumes</i>, <i>45</i>(2), 1041–1046.
    <a href="https://doi.org/10.3182/20120215-3-AT-3016.00184">https://doi.org/10.3182/20120215-3-AT-3016.00184</a>
  bibtex: '@article{Proß_Bachmann_2012, title={Hybrid Modelling and Process Optimization
    of Biological Systems}, volume={45}, DOI={<a href="https://doi.org/10.3182/20120215-3-AT-3016.00184">10.3182/20120215-3-AT-3016.00184</a>},
    number={2}, journal={IFAC Proceedings Volumes}, publisher={Elsevier BV}, author={Proß,
    Sabrina and Bachmann, Bernhard}, year={2012}, pages={1041–1046} }'
  chicago: 'Proß, Sabrina, and Bernhard Bachmann. “Hybrid Modelling and Process Optimization
    of Biological Systems.” <i>IFAC Proceedings Volumes</i> 45, no. 2 (2012): 1041–46.
    <a href="https://doi.org/10.3182/20120215-3-AT-3016.00184">https://doi.org/10.3182/20120215-3-AT-3016.00184</a>.'
  ieee: S. Proß and B. Bachmann, “Hybrid Modelling and Process Optimization of Biological
    Systems,” <i>IFAC Proceedings Volumes</i>, vol. 45, no. 2, pp. 1041–1046, 2012.
  mla: Proß, Sabrina, and Bernhard Bachmann. “Hybrid Modelling and Process Optimization
    of Biological Systems.” <i>IFAC Proceedings Volumes</i>, vol. 45, no. 2, Elsevier
    BV, 2012, pp. 1041–46, doi:<a href="https://doi.org/10.3182/20120215-3-AT-3016.00184">10.3182/20120215-3-AT-3016.00184</a>.
  short: S. Proß, B. Bachmann, IFAC Proceedings Volumes 45 (2012) 1041–1046.
date_created: 2021-11-09T13:59:28Z
date_updated: 2026-07-31T18:40:41Z
doi: 10.3182/20120215-3-AT-3016.00184
intvolume: '        45'
issue: '2'
keyword:
- hybrid systems
- process control
- Petri-nets
- biological processes
- hybrid optimization
- open-loop control
- Modelica evolution strategy
- Hooke-Jeeves method
language:
- iso: eng
page: 1041-1046
publication: IFAC Proceedings Volumes
publication_identifier:
  issn:
  - 1474-6670
publication_status: published
publisher: Elsevier BV
status: public
title: Hybrid Modelling and Process Optimization of Biological Systems
type: journal_article
user_id: '256529'
volume: 45
year: '2012'
...
---
_id: '1495'
author:
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900455
- first_name: Lennart
  full_name: Ochel, Lennart
  last_name: Ochel
- first_name: Vitalij
  full_name: Ruge, Vitalij
  last_name: Ruge
- first_name: Mahder
  full_name: Gebremedhin, Mahder
  last_name: Gebremedhin
- first_name: Peter
  full_name: Fritzson, Peter
  last_name: Fritzson
- first_name: Vaheed
  full_name: Nezhadali, Vaheed
  last_name: Nezhadali
- first_name: Lars
  full_name: Eriksson, Lars
  last_name: Eriksson
- first_name: Martin
  full_name: Sivertsson, Martin
  last_name: Sivertsson
citation:
  alphadin: '<span style="font-variant:small-caps;">Bachmann, Bernhard</span> ; <span
    style="font-variant:small-caps;">Ochel, Lennart</span> ; <span style="font-variant:small-caps;">Ruge,
    Vitalij</span> ; <span style="font-variant:small-caps;">Gebremedhin, Mahder</span>
    ; <span style="font-variant:small-caps;">Fritzson, Peter</span> ; <span style="font-variant:small-caps;">Nezhadali,
    Vaheed</span> ; <span style="font-variant:small-caps;">Eriksson, Lars</span> ;
    <span style="font-variant:small-caps;">Sivertsson, Martin</span>: Parallel Multiple-Shooting
    and Collocation Optimization with OpenModelica. In: <i>Book of abstracts / 9th
    International Modelica Conference</i>, <i>Linköping Electronic Conference Proceedings</i>.
    Bd. 76 : Linköping University Electronic Press, 2012, S. 659–668'
  ama: 'Bachmann B, Ochel L, Ruge V, et al. Parallel Multiple-Shooting and Collocation
    Optimization with OpenModelica. In: <i>Book of Abstracts / 9th International Modelica
    Conference</i>. Vol 76. Linköping Electronic Conference Proceedings. Linköping
    University Electronic Press; 2012:659-668. doi:<a href="https://doi.org/10.3384/ecp12076659">10.3384/ecp12076659</a>'
  apa: 'Bachmann, B., Ochel, L., Ruge, V., Gebremedhin, M., Fritzson, P., Nezhadali,
    V., … Sivertsson, M. (2012). Parallel Multiple-Shooting and Collocation Optimization
    with OpenModelica. In <i>Book of abstracts / 9th International Modelica Conference</i>
    (Vol. 76, pp. 659–668). München: Linköping University Electronic Press. <a href="https://doi.org/10.3384/ecp12076659">https://doi.org/10.3384/ecp12076659</a>'
  bibtex: '@inproceedings{Bachmann_Ochel_Ruge_Gebremedhin_Fritzson_Nezhadali_Eriksson_Sivertsson_2012,
    series={Linköping Electronic Conference Proceedings}, title={Parallel Multiple-Shooting
    and Collocation Optimization with OpenModelica}, volume={76}, DOI={<a href="https://doi.org/10.3384/ecp12076659">10.3384/ecp12076659</a>},
    booktitle={Book of abstracts / 9th International Modelica Conference}, publisher={Linköping
    University Electronic Press}, author={Bachmann, Bernhard and Ochel, Lennart and
    Ruge, Vitalij and Gebremedhin, Mahder and Fritzson, Peter and Nezhadali, Vaheed
    and Eriksson, Lars and Sivertsson, Martin}, year={2012}, pages={659–668}, collection={Linköping
    Electronic Conference Proceedings} }'
  chicago: Bachmann, Bernhard, Lennart Ochel, Vitalij Ruge, Mahder Gebremedhin, Peter
    Fritzson, Vaheed Nezhadali, Lars Eriksson, and Martin Sivertsson. “Parallel Multiple-Shooting
    and Collocation Optimization with OpenModelica.” In <i>Book of Abstracts / 9th
    International Modelica Conference</i>, 76:659–68. Linköping Electronic Conference
    Proceedings. Linköping University Electronic Press, 2012. <a href="https://doi.org/10.3384/ecp12076659">https://doi.org/10.3384/ecp12076659</a>.
  ieee: B. Bachmann <i>et al.</i>, “Parallel Multiple-Shooting and Collocation Optimization
    with OpenModelica,” in <i>Book of abstracts / 9th International Modelica Conference</i>,
    München, 2012, vol. 76, pp. 659–668.
  mla: Bachmann, Bernhard, et al. “Parallel Multiple-Shooting and Collocation Optimization
    with OpenModelica.” <i>Book of Abstracts / 9th International Modelica Conference</i>,
    vol. 76, Linköping University Electronic Press, 2012, pp. 659–68, doi:<a href="https://doi.org/10.3384/ecp12076659">10.3384/ecp12076659</a>.
  short: 'B. Bachmann, L. Ochel, V. Ruge, M. Gebremedhin, P. Fritzson, V. Nezhadali,
    L. Eriksson, M. Sivertsson, in: Book of Abstracts / 9th International Modelica
    Conference, Linköping University Electronic Press, 2012, pp. 659–668.'
conference:
  end_date: 2012-09-05
  location: München
  name: 9th International MODELICA Conference, Munich, Germany
  start_date: 2012-09-03
date_created: 2021-11-09T13:06:25Z
date_updated: 2026-03-17T15:28:21Z
doi: 10.3384/ecp12076659
intvolume: '        76'
keyword:
- Modelica
- Optimica
- optimization
- multiple shooting
- collocation
- parallel
- simulation
language:
- iso: eng
page: 659-668
publication: Book of abstracts / 9th International Modelica Conference
publication_identifier:
  isbn:
  - 978-91-7519-826-2
publication_status: published
publisher: Linköping University Electronic Press
series_title: Linköping Electronic Conference Proceedings
status: public
title: Parallel Multiple-Shooting and Collocation Optimization with OpenModelica
type: conference
user_id: '35437'
volume: 76
year: '2012'
...