The dimensions of Mathematical and Computational Modeling prescribed to Environmental Management
Keywords:Sustainable development; Interior points method; Optimization of the criteria matrix; Cramer's method; Landfill.
The numerous scientific works, recently released, on projects applied to sustainable development, have considered a combination of methods such as AHP (Analytical Hierarchy Process) and GIS (Geographic Information Systems), for example. These procedures enable the identification of the main criteria, useful in the cadastral formulation, in a numerical format, for the problem of solid waste. This article presents a Mathematical and Computational Modeling Process (PM2C), which benefits from the response managed by the AHP and GIS methods, implementing functional relationships that adjust the n dimensions of the Criteria Matrix. The main objective of this work is to establish the Conventional and Optimal Solutions for the problem of the area location conducive to the construction of a landfill. The strategies, mathematical and computational, employ the Cramer Method and the Interior Points Method (Prime-dual) in the making of the algorithms. The results, expressed in analytical and graphical forms, show the individual values for each criterion involved in the phenomenon. The comparison, between the solution matrices, denotes the importance of incorporating the initial conditions, related to social and economic effects, and environmental security restrictions, in the modeled algorithms. Based on these premises, it was possible to simulate scenarios that demonstrate, with the highest precision, the best values of the criteria useful for decision making in the selection of the optimal area for the implementation of a landfill.
ABNT (1997). Aterros de Resíduos não Perigosos: Critérios para Projeto, Implantação e Operação - NBR 13.896/97. Rio de Janeiro, Brasil. Disponível em: https://www.abntcatalogo.com.br/norma.aspx?ID=4829.
Andrade, A. J. B. & Barbosa, N. P. P. (2015). Combinação do Método AHP e SIG na Seleção de Áreas com Potenciais para a Instalação de Aterro Sanitário: Caso da Ilha do Fogo, na República de Cabo Verde. Revista de Geografia (UFPE) V. 32, N° 2, 248 – 266.
Bahrani, S., Ebadi, T., Ehsani, H., Yousefi, H. & Maknoon, R. (2016). Modeling Landfill Site Selection by Multi-Criteria Decision Making and Fuzzy Functions in GIS, Case Study: Shabestar, Iran. Environ Earth Sci. 75, 337.
Cao, L., Cheng, Y., Zhang, J., Zhou, X. & Lian, C. (2006). Application Of Grey Situation Decision-Making Theory in Site Selection of a Waste Sanitary Landfill. Int. J. Min. Sci. Technol. 16, 393 - 398.
Calijuri, M. L. (2002). Identificação de Áreas Para a Implantação de Aterros Sanitários com Uso de Análise Estratégica de Decisão. Informação Pública vol. 4 (2): 231-250.
Casacio, L., Lyra, C. & Oliveira, A.R.L. (2016). Interior Point Methods for Power Flow Optimization with Security Constraints. International Transactions in Operational Research. DOI: 10.1111/itor.12279. Wiley. 1-15.
Chalmers, A. (1999). What is This Thing Called Science? London: Open University Press.
Chapra, Steven C. (2018). Applied numerical methods with MATLAB for engineers and scientists. Tufts University. Fourth edition. New York, NY: McGraw-Hill Education.
Crump, T. (2002). A Brief History of Science, as Seen Through The Development of Scientific Instruments. London: Robinson.
Dias, N. L., Leal, S. de A. D., Brandi, A. C., Meneguette Jr, M., & Balthazar, J. M. (2020). Modelagem matemática em dinâmica dos fluídos: uma aplicação do método Smoothed-particle Hydrodynamics. Research, Society and Development, 9(7), e739975109. https://doi.org/10.33448/rsd-v9i7.5109.
El Baba, M., Kayastha, P. & De Smedt, F. (2014). Landfill Site Selection Using Multicriteria Evaluation in the GIS Interface: A Case Study from the Gaza Strip, Palestine. Arab. J. Geosci. 8, 7499–7513.
Gorsevski, P.V., Donevska, K.R., Mitrovski, C.D. & Frizado, J.P. (2012). Integrating Multicriteria Evaluation Techniques with Geographic Information Systems for Landfill Site Selection: A Case Study Using Ordered Weighted Average. Waste Manag. 32, 287–296.
Hayeri Y., Vosoogh, A. & Bazargan, A. (2019). The Application of Membrane Bioreactors (MBR) for the Removal of Organic Matter, Nutrients, and Heavy Metals from Landfill Leachate. In: Hussain, C.M. (Ed.), Handbook of Environmental Materials Management. Springer International Publishing, Cham, pp. 1879–1898.
Hwang, C. L. & Yoon, K. (2012). Multiple Attribute Decision Making: Methods and Applications a State of the Art Survey. Springer Science & Business Media.
Khorram, A., Yousefi, M., Alavi, S.A. & Farsi, J. (2015). Convenient Landfill Site Selection by Using Fuzzy Logic and Geographic Information Systems: a Case Study in Bardaskan, East of Iran. Health Scope 4, 1-10.
Kumar, A., Sah, B., Singh, A.R., Deng, Y., He, X. & Kumar, P. (2017). A Review of Multi-Criteria Decision Making (MCDM) Towards Sustainable Renewable Energy Development. Renewable and Sustainable Energy Reviews, v. 69, 596 – 609.
Magalhães, D. F. V., Bello, M. I. M. Da C. V., & Norberto, A. de S. (2020). Dimensionamento de geossintético para reforço de aterro sobre solo mole. Research, Society and Development, 9(8), e355985323. https://doi.org/10.33448/rsd-v9i8.5323.
Paula, J. A. A. de, Faria, Érica V. de, Lima, A. C. P., Vieira Neto, J. L., & Santos, K. G. dos. (2020). Simulação computacional do fluxo de partículas de soja em uma tremonha usando fluidodinâmica computacional (CFD) e o método dos elementos discretos (DEM). Research, Society and Development, 9(8), e448985463. https://doi.org/10.33448/rsd-v9i8.5463.
Pereira, A. S., Shitsuka, D. M., Parreira, F. J. & Shitsuka, R. (2018). Metodologia da pesquisa científica. [e-book]. 1ª Ed. Santa Maria, RS. Universidade Federal de Santa Maria – UFSM. Núcleo de Tecnologia Educacional - NTE. Disponível em: https://repositorio.ufsm.br/bitstream/handle/1/15824/Lic_Computacao_Metodologia-Pesquisa-Cientifica.pdf?sequence=1.
Priya, K.S., Burman, I., Tarafdar, A. & Sinha, A. (2019). Impact of Ammonia Nitrogen on COD Removal Efficiency in Anaerobic Hybrid Membrane Bioreactor Treating Synthetic Leachate. Int. J. Environ. Res. 13, 59 – 65.
Rezaeisabzevar, Y., Bazargan, A. & Zohourian, B. (2020). Landfill Site Selection Using Multi Criteria Decision Making: Influential Factors for Comparing Locations. Journal of Environmental Sciences, 93. 170 – 184.
Saaty, T. L. (1980). The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation. McGraw-Hill International Book Co, New York; London.
Sener, S., Sener, E., Nas, B. & Karaguzel, R. (2010). Combining AHP with GIS for Landfill Site Selection: a Case Study in the Lake Beysehir Catchment Area (Konya, Turkey). Waste Management. 30, 2037–2046.
Stegmann, R. & Ritzkowski, M. (Eds.). (2007). Landfill Aeration. IWWG Monograph. CISA.
Uyan, M. (2014). MSW Landfill Site Selection by Combining AHP with GIS for Konya, Turkey. Environ. Earth Sci. 71, 1629–1639.
Vluymans, S., Mac Parthaláin, N., Cornelis, C. & Saeys, Y. (2019). Weight Selection Strategies for Ordered Weighted Average Based Fuzzy Rough Sets. Information Sciences.
Wu, Y., Zhou, J., Hu, Y., Li, L. & Sun, X. (2018). A TODIM - Based Investment Decision Framework for Commercial Distributed PV Projects Under The Energy Performance Contracting (EPC) Business Model: A Case in East-Central China. Energy (Basel) 11, 1210.
Yesilnacar, M.I. & Cetin, H. (2005). Site Selection for Hazardous Wastes: A Case Study from the GAP Area, Turkey. Eng. Geol. 81, 371–388.
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Copyright (c) 2020 Denis Carlos Lima Costa; Heictor Alves de Oliveira Costa; Ana Paula Simões Castro; Edson Costa Cruz; Julio Leite Azancort Neto; Brennus Caio Carvalho da Cruz
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