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

Author

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  • 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
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, October.
    10. 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.
    11. 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.
    12. 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).
    13. Trianni, Andrea & Cagno, Enrico & De Donatis, Alessio, 2014. "A framework to characterize energy efficiency measures," Applied Energy, Elsevier, vol. 118(C), pages 207-220.
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    Cited by:

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    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.

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