Abstract
In this work, a sustainability analysis based on concepts of normed linear vector space is presented. The processes of production are vectors whose components are the manufacturing factors. The sustainability assessments are measured by the magnitude of the vectors, that is, by their norms. The properties of the space are simple, and the applications are straightforward. The formalism applies equally well whether the indicators are positive or negative, without the recourse of shifting variables. Whenever available, values of the sustainability threshold limits can be handled by the formalism.
Similar content being viewed by others
References
Martins AA, Mata TM, Sikdar SK, Costa C (2007) A framework for sustainability metrics. Ind Eng Chem Res 46(10):2962–2973
Sauer C, Fava J, Spatari ABD (2000) Life cycle engineering case study: automobile fender designs. Environ Prog 19(2):72–82
Sikdar SK (2003) Sustainable development and sustainability metrics. AIChE J 49:1928–1932
Sikdar SK (2009) On aggregating multiple indicators into a single metric for sustainability. Clean Technol Environ Policy 11:157–161
Sikdar SK, Sengupta D, Harten P (2012) More on aggregating multiple indicators into a single index for sustainability analyses. Clean Technol Environ Policy 14:765–773
Vermeulen I, Block C, Caneghem J, Dewulf W, Sikdar SK, Vandecasteele C (2012) Sustainability assessment of industrial waste treatment processes. Application to ASR. Resour Conserv Recycle 69:17–28
Acknowledgments
I would like to thank the Instituto Nacional de Metrologia, Qualidade e Tecnologia—INMETRO, and the Fundação de Amparo a Pesquisa Carlos Chagas Filho do Rio de Janeiro—FAPERJ, for financial support. I also thank Dr. Humberto Brandi and Dr. Romeu Daroda for interesting discussions on sustainability assessment. Research from Fundação de Amparo a Pesquisa Carlos Chagas Filho do Rio de Janeiro—FAPERJ.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Olinto, A.C. Vector space theory of sustainability assessment of industrial processes. Clean Techn Environ Policy 16, 1815–1820 (2014). https://doi.org/10.1007/s10098-014-0729-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10098-014-0729-4