kth.sePublications KTH
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Optimal design of superstructures for placing units and streams with multiple and ordered available locations. Part I: A new mathematical framework
Grupo de Diseño de Productos y Procesos, Departamento de Ingeniería Química, Universidad de Los Andes. Carrera 1 Número 18ª-10, Bogotá 111711, Colombia.ORCID iD: 0000-0002-3190-7612
Department of Chemical Engineering, Carnegie Mellon University 5000 Forbes Avenue, Pittsburgh, PA 15232, United States.
Department of Chemical Engineering, University of Waterloo, Ontario N2L 3G1 Canada.
Grupo de Diseño de Productos y Procesos, Departamento de Ingeniería Química, Universidad de Los Andes. Carrera 1 Número 18ª-10, Bogotá 111711, Colombia.
2020 (English)In: Computers and Chemical Engineering, ISSN 0098-1354, E-ISSN 1873-4375, Vol. 137, article id 106794Article in journal (Refereed) Published
Abstract [en]

A new approach for the optimal design of superstructures in chemical engineering is proposed in this study. Contrary to most of the optimization techniques established in the literature, this approximation exploits the structure of a specific type of problem, i.e., the case where it is necessary to find the optimal location of a processing unit or a stream over a naturally ordered discrete set. The proposed methodology consists of reformulating the binary variables of the original Mixed-Integer Nonlinear Problem (MINLP) with a smaller set of integer variables referred to as external variables. Then, the reformulated optimization problem can be decomposed into a master Integer Program with Linear Constraints (master IPLC) and primal sub-problems in the form of Fixed Nonlinear Programs (FNLPs), i.e., Nonlinear Programs (NLPs) with integer variables fixed. The use of the Discrete-Steepest Descent Algorithm (D-SDA) is considered for the master IPLC, while the primal FNLPs are solved with existing Nonlinear Programming (NLP) solvers. The main features of this approach are discussed with an illustrative example: an isothermal Continuously Stirred Tank Reactor (CSTR) network with recycle and autocatalytic reaction. The new methodology does not guarantee global optimality; however, the results show that it can find a local solution in a short computational time.

Place, publisher, year, edition, pages
Elsevier BV , 2020. Vol. 137, article id 106794
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-360640DOI: 10.1016/j.compchemeng.2020.106794ISI: 000534345300001Scopus ID: 2-s2.0-85082482808OAI: oai:DiVA.org:kth-360640DiVA, id: diva2:1941396
Note

QC 20250303

Available from: 2025-02-28 Created: 2025-02-28 Last updated: 2025-03-03Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Liñan, David A

Search in DiVA

By author/editor
Liñan, David A
In the same journal
Computers and Chemical Engineering
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 41 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf