IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v11y2018i4p989-d142031.html
   My bibliography  Save this article

A Mixed-Integer Programming Model for Assessing Energy-Saving Investments in Domestic Buildings under Uncertainty

Author

Listed:
  • Panagiotis Kontogiorgos

    (School of Electrical and Computer Engineering, National Technical University of Athens, 9 Iroon Polytexneiou Str., 15773 Zografou, Greece)

  • Nikolaos Chrysanthopoulos

    (School of Electrical and Computer Engineering, National Technical University of Athens, 9 Iroon Polytexneiou Str., 15773 Zografou, Greece)

  • George P. Papavassilopoulos

    (School of Electrical and Computer Engineering, National Technical University of Athens, 9 Iroon Polytexneiou Str., 15773 Zografou, Greece)

Abstract

A decision support tool has been developed to evaluate energy-saving intervention investments for domestic buildings. Various potential interventions are considered, each affecting energy consumption and savings, as well as the total financial cost of the investment. The decision problem is formulated as a mixed-integer programming problem. The implemented methodologies increase the efficiency and efficacy of the solution algorithms and can be applied to most realistic cases. The tool allows users to customize the problem based on their own preferences and find the optimal combination of investments. Uncertainty complicating the decision process is addressed by using interval analysis; therefore, the robustness of the optimal decision can be evaluated to facilitate the decision-making process. A domestic building in the Mediterranean area is used as a case study to demonstrate the functionality of this tool and to evaluate the impact of the decision-maker’s uncertainty on the optimal decision.

Suggested Citation

  • Panagiotis Kontogiorgos & Nikolaos Chrysanthopoulos & George P. Papavassilopoulos, 2018. "A Mixed-Integer Programming Model for Assessing Energy-Saving Investments in Domestic Buildings under Uncertainty," Energies, MDPI, vol. 11(4), pages 1-14, April.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:4:p:989-:d:142031
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/11/4/989/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/11/4/989/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Huang, Guo H. & Baetz, Brian W. & Patry, Gilles G., 1995. "Grey integer programming: An application to waste management planning under uncertainty," European Journal of Operational Research, Elsevier, vol. 83(3), pages 594-620, June.
    2. Chiara Burattini & Fabio Nardecchia & Fabio Bisegna & Lucia Cellucci & Franco Gugliermetti & Andrea De Lieto Vollaro & Ferdinando Salata & Iacopo Golasi, 2015. "Methodological Approach to the Energy Analysis of Unconstrained Historical Buildings," Sustainability, MDPI, vol. 7(8), pages 1-17, August.
    3. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, January.
    4. Wang, Jiang-Jiang & Jing, You-Yin & Zhang, Chun-Fa & Zhao, Jun-Hong, 2009. "Review on multi-criteria decision analysis aid in sustainable energy decision-making," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(9), pages 2263-2278, December.
    5. Diakaki, Christina & Grigoroudis, Evangelos & Kabelis, Nikos & Kolokotsa, Dionyssia & Kalaitzakis, Kostas & Stavrakakis, George, 2010. "A multi-objective decision model for the improvement of energy efficiency in buildings," Energy, Elsevier, vol. 35(12), pages 5483-5496.
    6. Karmellos, M. & Kiprakis, A. & Mavrotas, G., 2015. "A multi-objective approach for optimal prioritization of energy efficiency measures in buildings: Model, software and case studies," Applied Energy, Elsevier, vol. 139(C), pages 131-150.
    7. Marchi, B. & Ries, J.M. & Zanoni, S. & Glock, C.H., 2016. "A joint economic lot size model with financial collaboration and uncertain investment opportunity," International Journal of Production Economics, Elsevier, vol. 176(C), pages 170-182.
    8. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multicriteria classification and sorting methods: A literature review," European Journal of Operational Research, Elsevier, vol. 138(2), pages 229-246, April.
    9. Huang, G. H. & Baetz, B. W. & Patry, G. G., 1995. "Grey fuzzy integer programming: An application to regional waste management planning under uncertainty," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 17-38, March.
    10. Marchi, B. & Ries, J. M. & Zanoni, S. & Glock, C. H., 2016. "A joint economic lot size model with financial collaboration and uncertain investment opportunity," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 79714, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    11. Li, Han-Lin, 1994. "A global approach for general 0-1 fractional programming," European Journal of Operational Research, Elsevier, vol. 73(3), pages 590-596, March.
    12. Trianni, Andrea & Cagno, Enrico & De Donatis, Alessio, 2014. "A framework to characterize energy efficiency measures," Applied Energy, Elsevier, vol. 118(C), pages 207-220.
    13. Jiamin Wang, 2012. "Robust optimization analysis for multiple attribute decision making problems with imprecise information," Annals of Operations Research, Springer, vol. 197(1), pages 109-122, August.
    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. Najjar, Mohammad & Figueiredo, Karoline & Hammad, Ahmed W.A. & Haddad, Assed, 2019. "Integrated optimization with building information modeling and life cycle assessment for generating energy efficient buildings," Applied Energy, Elsevier, vol. 250(C), pages 1366-1382.
    2. Liangwen Yan & Fengfeng Qian & Wei Li, 2018. "Research on Key Parameters Operation Range of Central Air Conditioning Based on Binary K-Means and Apriori Algorithm," Energies, MDPI, vol. 12(1), pages 1-13, December.
    3. Spyridon Karytsas & Ioannis Vardopoulos & Eleni Theodoropoulou, 2019. "Factors Affecting Sustainable Market Acceptance of Residential Microgeneration Technologies. A Two Time Period Comparative Analysis," Energies, MDPI, vol. 12(17), pages 1-20, August.

    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. Hanif Malekpoor & Konstantinos Chalvatzis & Nishikant Mishra & Mukesh Kumar Mehlawat & Dimitrios Zafirakis & Malin Song, 2018. "Integrated grey relational analysis and multi objective grey linear programming for sustainable electricity generation planning," Annals of Operations Research, Springer, vol. 269(1), pages 475-503, October.
    2. Li, Y.P. & Huang, G.H. & Chen, X., 2011. "An interval-valued minimax-regret analysis approach for the identification of optimal greenhouse-gas abatement strategies under uncertainty," Energy Policy, Elsevier, vol. 39(7), pages 4313-4324, July.
    3. Yang Yang & Xuezheng Chen & Jing Gu & Hamido Fujita, 2019. "Alleviating Financing Constraints of SMEs through Supply Chain," Sustainability, MDPI, vol. 11(3), pages 1-19, January.
    4. Chunguang Bai & Joseph Sarkis, 2013. "Green information technology strategic justification and evaluation," Information Systems Frontiers, Springer, vol. 15(5), pages 831-847, November.
    5. Yong Zeng & Yanpeng Cai & Guohe Huang & Jing Dai, 2011. "A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty," Energies, MDPI, vol. 4(10), pages 1-33, October.
    6. Herbon, Avi, 2021. "An integrated manufacturer-buyer chain with bounded production cycle length," Operations Research Perspectives, Elsevier, vol. 8(C).
    7. Govindan, Kannan & Jepsen, Martin Brandt, 2016. "ELECTRE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 250(1), pages 1-29.
    8. Lin, Q.G. & Huang, G.H., 2009. "A dynamic inexact energy systems planning model for supporting greenhouse-gas emission management and sustainable renewable energy development under uncertainty--A case study for the City of Waterloo,," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(8), pages 1836-1853, October.
    9. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2010. "Multiple criteria sorting with a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1455-1470, December.
    10. Cao, M.F. & Huang, G.H. & Lin, Q.G., 2010. "Integer programming with random-boundary intervals for planning municipal power systems," Applied Energy, Elsevier, vol. 87(8), pages 2506-2516, August.
    11. Tian, Chuyin & Huang, Guohe & Xie, Yulei, 2021. "Systematic evaluation for hydropower exploitation rationality in hydro-dominant area: A case study of Sichuan Province, China," Renewable Energy, Elsevier, vol. 168(C), pages 1096-1111.
    12. Zhou, Feng & Huang, Gordon H. & Chen, Guo-Xian & Guo, Huai-Cheng, 2009. "Enhanced-interval linear programming," European Journal of Operational Research, Elsevier, vol. 199(2), pages 323-333, December.
    13. Herbon, Avi, 2020. "An approximated solution to the constrained integrated manufacturer-buyer supply problem," Operations Research Perspectives, Elsevier, vol. 7(C).
    14. Liang, M.S. & Huang, G.H. & Chen, J.P. & Li, Y.P., 2022. "Development of non-deterministic energy-water-carbon nexus planning model: A case study of Shanghai, China," Energy, Elsevier, vol. 246(C).
    15. Hu, Qing & Huang, Guohe & Cai, Yanpeng & Huang, Ying, 2011. "Feasibility-based inexact fuzzy programming for electric power generation systems planning under dual uncertainties," Applied Energy, Elsevier, vol. 88(12), pages 4642-4654.
    16. Xu, Y. & Huang, G.H. & Qin, X.S. & Cao, M.F., 2009. "SRCCP: A stochastic robust chance-constrained programming model for municipal solid waste management under uncertainty," Resources, Conservation & Recycling, Elsevier, vol. 53(6), pages 352-363.
    17. Hocine, Amine & Kouaissah, Noureddine & Bettahar, Samir & Benbouziane, Mohamed, 2018. "Optimizing renewable energy portfolios under uncertainty: A multi-segment fuzzy goal programming approach," Renewable Energy, Elsevier, vol. 129(PA), pages 540-552.
    18. Dong, C. & Huang, G.H. & Cai, Y.P. & Liu, Y., 2012. "An inexact optimization modeling approach for supporting energy systems planning and air pollution mitigation in Beijing city," Energy, Elsevier, vol. 37(1), pages 673-688.
    19. Maqsood, Imran & Huang, Guo H. & Scott Yeomans, Julian, 2005. "An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty," European Journal of Operational Research, Elsevier, vol. 167(1), pages 208-225, November.
    20. He, Li & Huang, Guo H. & Lu, Hongwei, 2011. "Bivariate interval semi-infinite programming with an application to environmental decision-making analysis," European Journal of Operational Research, Elsevier, vol. 211(3), pages 452-465, June.

    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:gam:jeners:v:11:y:2018:i:4:p:989-:d:142031. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.