IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v29y2021i2d10.1007_s10100-020-00683-9.html
   My bibliography  Save this article

Modeling technique in the P-Graph framework for operating units with flexible input ratios

Author

Listed:
  • András Éles

    (University of Pannonia)

  • István Heckl

    (University of Pannonia)

  • Heriberto Cabezas

    (Pázmány Péter Catholic University)

Abstract

The P-Graph framework is an efficient tool that deals with the solution of Process Network Synthesis (PNS) problems. The model uses a bipartite graph of material and operating unit nodes, with arcs representing material flow. The framework includes combinatorial algorithms to identify solution structures, and an underlying linear model to be solved by the Accelerated Branch and Bound algorithmic method. An operating unit node in a P-Graph consumes its input materials and produces its products in a fixed ratio of operation volume. This makes it inadequate in modeling such real-world operations where input composition may vary, and may also be subject to specific constraints. Recent works address such cases by directly manipulating the generated mathematical model with linear programming constraints. In this work, a new general method is introduced which allows the modeling of operations with flexible input ratios and linear constraints in general, solely by tools provided by the P-Graph framework itself. This includes representing the operation with ordinary nodes and setting up their properties correctly. We also investigate how our method affects the solution structures for the PNS problem which is crucial for the performance of algorithms in the framework. The method is demonstrated in a case study where sustainable energy generation for a plant is present, and the different types of available biomass introduce a high level of flexibility, while consumption limitations may still apply.

Suggested Citation

  • András Éles & István Heckl & Heriberto Cabezas, 2021. "Modeling technique in the P-Graph framework for operating units with flexible input ratios," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 463-489, June.
    • Handle: RePEc:spr:cejnor:v:29:y:2021:i:2:d:10.1007_s10100-020-00683-9
    DOI: 10.1007/s10100-020-00683-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-020-00683-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10100-020-00683-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tan, Raymond R. & Cayamanda, Christina D. & Aviso, Kathleen B., 2014. "P-graph approach to optimal operational adjustment in polygeneration plants under conditions of process inoperability," Applied Energy, Elsevier, vol. 135(C), pages 402-406.
    2. András Éles & László Halász & István Heckl & Heriberto Cabezas, 2019. "Evaluation of the Energy Supply Options of a Manufacturing Plant by the Application of the P-Graph Framework," Energies, MDPI, vol. 12(8), pages 1-24, April.
    3. Lan, Jun & Malik, Arunima & Lenzen, Manfred & McBain, Darian & Kanemoto, Keiichiro, 2016. "A structural decomposition analysis of global energy footprints," Applied Energy, Elsevier, vol. 163(C), pages 436-451.
    4. Süle, Zoltán & Baumgartner, János & Dörgő, Gyula & Abonyi, János, 2019. "P-graph-based multi-objective risk analysis and redundancy allocation in safety-critical energy systems," Energy, Elsevier, vol. 179(C), pages 989-1003.
    5. Aviso, Kathleen B. & Tan, Raymond R., 2018. "Fuzzy P-graph for optimal synthesis of cogeneration and trigeneration systems," Energy, Elsevier, vol. 154(C), pages 258-268.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xu, Yifan & Ji, Mengmeng & Klemeš, Jiří Jaromír & Tao, Hengcong & Zhu, Baikang & Varbanov, Petar Sabev & Yuan, Meng & Wang, Bohong, 2023. "Optimal renewable energy export strategies of islands: Hydrogen or electricity?," Energy, Elsevier, vol. 269(C).
    2. András Éles & István Heckl & Heriberto Cabezas, 2024. "Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework," Energies, MDPI, vol. 17(3), pages 1-20, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Aviso, Kathleen B. & Marfori, Isidro Antonio V. & Tan, Raymond R. & Ubando, Aristotle T., 2020. "Optimizing abnormal operations of off-grid community utility systems with fuzzy P-graph," Energy, Elsevier, vol. 202(C).
    2. Yeo, Lip Siang & Tiang, Celine Wei Ping & Teng, Sin Yong & Ng, Wendy Pei Qin & Lim, Chun Hsion & Leong, Wei Dong & Lam, Hon Loong & Sunarso, Jaka & How, Bing Shen, 2023. "Rethinking circularity with Re-refineries and supply chains reintegration via multi-objective pareto graph theoretical approach," Energy, Elsevier, vol. 279(C).
    3. Wang, Qiang & Han, Xinyu, 2021. "Is decoupling embodied carbon emissions from economic output in Sino-US trade possible?," Technological Forecasting and Social Change, Elsevier, vol. 169(C).
    4. Fernández-Amador, Octavio & Francois, Joseph F. & Oberdabernig, Doris A. & Tomberger, Patrick, 2023. "Energy footprints and the international trade network: A new dataset. Is the European Union doing it better?," Ecological Economics, Elsevier, vol. 204(PA).
    5. Li, Jia Shuo & Zhou, H.W. & Meng, Jing & Yang, Q. & Chen, B. & Zhang, Y.Y., 2018. "Carbon emissions and their drivers for a typical urban economy from multiple perspectives: A case analysis for Beijing city," Applied Energy, Elsevier, vol. 226(C), pages 1076-1086.
    6. Luca Urbanucci & Francesco D’Ettorre & Daniele Testi, 2019. "A Comprehensive Methodology for the Integrated Optimal Sizing and Operation of Cogeneration Systems with Thermal Energy Storage," Energies, MDPI, vol. 12(5), pages 1-17, March.
    7. Mumbunan, Sonny & Maitri, Ni Made Rahayu, 2022. "A Review of Basic Income for Nature and Climate," OSF Preprints bre43, Center for Open Science.
    8. Zhong, Zhangqi & Jiang, Lei & Zhou, Peng, 2018. "Transnational transfer of carbon emissions embodied in trade: Characteristics and determinants from a spatial perspective," Energy, Elsevier, vol. 147(C), pages 858-875.
    9. Duan, Yuwan & Yan, Bingqian, 2019. "Economic gains and environmental losses from international trade: A decomposition of pollution intensity in China's value-added trade," Energy Economics, Elsevier, vol. 83(C), pages 540-554.
    10. Franco-Solís, Alberto & Montanía, Claudia V., 2021. "Dynamics of deforestation worldwide: A structural decomposition analysis of agricultural land use in South America," Land Use Policy, Elsevier, vol. 109(C).
    11. Yun-Hsun Huang & Jung-Hua Wu & Hao-Syuan Huang, 2021. "Analyzing the Driving Forces behind CO 2 Emissions in Energy-Resource-Poor and Fossil-Fuel-Centered Economies: Case Studies from Taiwan, Japan, and South Korea," Energies, MDPI, vol. 14(17), pages 1-14, August.
    12. Dong, Di & An, Haizhong & Huang, Shupei, 2017. "The transfer of embodied carbon in copper international trade: An industry chain perspective," Resources Policy, Elsevier, vol. 52(C), pages 173-180.
    13. Liang, Xuedong & Yang, Xu & Yan, Fuhai & Li, Zhi, 2020. "Exploring global embodied metal flows in international trade based combination of multi-regional input-output analysis and complex network analysis," Resources Policy, Elsevier, vol. 67(C).
    14. Kaltenegger, Oliver, 2019. "What drives total real unit energy costs globally? A novel LMDI decomposition approach," CAWM Discussion Papers 110, University of Münster, Münster Center for Economic Policy (MEP).
    15. Iñigo Capellán-Pérez & David Álvarez-Antelo & Luis J. Miguel, 2019. "Global Sustainability Crossroads : A Participatory Simulation Game to Educate in the Energy and Sustainability Challenges of the 21st Century," Sustainability, MDPI, vol. 11(13), pages 1-23, July.
    16. Llop, Maria, 2017. "Changes in energy output in a regional economy: A structural decomposition analysis," Energy, Elsevier, vol. 128(C), pages 145-151.
    17. Madurai Elavarasan, Rajvikram & Pugazhendhi, Rishi & Irfan, Muhammad & Mihet-Popa, Lucian & Campana, Pietro Elia & Khan, Irfan Ahmad, 2022. "A novel Sustainable Development Goal 7 composite index as the paradigm for energy sustainability assessment: A case study from Europe," Applied Energy, Elsevier, vol. 307(C).
    18. Wu, X.D. & Guo, J.L. & Ji, Xi & Chen, G.Q., 2019. "Energy use in world economy from household-consumption-based perspective," Energy Policy, Elsevier, vol. 127(C), pages 287-298.
    19. Aviso, Kathleen B. & Tan, Raymond R., 2018. "Fuzzy P-graph for optimal synthesis of cogeneration and trigeneration systems," Energy, Elsevier, vol. 154(C), pages 258-268.
    20. Araújo, Inácio Fernandes de & Jackson, Randall W. & Ferreira Neto, Amir B. & Perobelli, Fernando S., 2020. "European union membership and CO2 emissions: A structural decomposition analysis," Structural Change and Economic Dynamics, Elsevier, vol. 55(C), pages 190-203.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:cejnor:v:29:y:2021:i:2:d:10.1007_s10100-020-00683-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.