×

A multi-objective approach with soft constraints for water supply and wastewater coverage improvements. (English) Zbl 1346.90854

Summary: In Brazil, due to public health, social and economic cohesion problems, access to water and wastewater services is certainly one of the main concerns of the different stakeholders in the Brazilian water sector. But as the focus is mainly on the expansion and building of new infrastructures, other features such as the robustness and resiliency of the systems are being forgotten. This reason, among others, highlights the importance of sustainable development and financing for the Brazilian water sector. In order to assess that goal, a multi-objective optimization model was built with the aim of formulating strategies to reach a predefined coverage minimizing time and costs incurred, under specific hard and soft constraints, assembled to deal with key sustainability concepts (e.g., affordability and coverage targets features) as they should not be left apart. For that purpose, an achievement scalarizing function was adopted with three distinct scaling coefficient vectors for a given reference point. To solve this combinatorial optimization problem, we used a mixed integer-linear programming optimizer that resorts to branch-and-bound methods. The work developed, paves the way toward the creation of a decision-aiding tool, without disregarding the number of steps that need to be taken to achieve the proposed objectives.

MSC:

90C90 Applications of mathematical programming
90B90 Case-oriented studies in operations research
90C27 Combinatorial optimization
90C29 Multi-objective and goal programming
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
Full Text: DOI

References:

[1] van den Bergh, J.; Beliën, J.; de Bruecker, P.; Demeulemeester, E.; de Boeck, L., Personnel scheduling: A literature review, European Journal of Operational Research, 226, 3, 367-385 (2013) · Zbl 1292.90001
[2] Bremer, J.; Harter, T., Domestic wells have high probability of pumping septic tank leachate, Hydrology and Earth System Sciences, 16, 8, 2453-2467 (2012)
[3] Buchanan, J.; Gardiner, L., A comparison of two reference point methods in multiple objective mathematical programming, European Journal of Operational Research, 149, 1, 17-34 (2003) · Zbl 1035.90078
[4] Cabello, J.; Ruiz, F.; Pérez-Gladish, B.; Méndez-Rodríguez, P., Synthetic indicators of mutual funds environmental responsibility: An application of the reference point method, European Journal of Operational Research, 236, 1, 313-325 (2014) · Zbl 1338.91164
[5] Dagdeviren, H.; Robertson, S., Access to water in the slums of Sub-Saharan Africa, Development Policy Review, 29, 4, 485-505 (2011)
[6] Dujardin, Y.; Vanderpooten, D.; Boillot, F., A multi-objective interactive system for adaptive traffic control, European Journal of Operational Research, 244, 2, 601-610 (2015) · Zbl 1346.90238
[7] Ex Ante, Benefícios econômicos da expansão do saneamento: qualidade de vida, produtividade e educação, valorização ambiental (Economic benefits of sanitation: Quality of life, productivity and education, environmental value), Trata Brasil and CEBDS Report (2014), Trata Brasil and CEBDS
[8] Figueira, J. R.; Liefooghe, A.; Talbi, E.-G.; Wierzbicki, A. P., A parallel multiple reference point approach for multi-objective optimization, European Journal of Operational Research, 205, 2, 390-400 (2010) · Zbl 1188.90237
[9] Greenberg, H., Mathematical programming models for environmental quality control, Operations Research, 43, 4, 578-622 (1995) · Zbl 0857.90016
[10] Haller, L.; Hutton, G.; Bartram, J., Estimating the costs and health benefits of water and sanitation improvements at global level, Journal of Water & Health, 5, 1, 467-480 (2007)
[11] Hutton, G., Global costs and benefits of reaching universal coverage of sanitation and drinking-water supply, Journal of Water & Health, 11, 1, 1-12 (2013)
[12] Hutton, G.; Haller, L.; Bartram, J., Global cost-benefit analysis of water supply and sanitation interventions, Journal of Water & Health, 5, 1, 481-502 (2007)
[13] IBGE, Atlas de Saneamento 2011 (Sanitation atlas 2011) (2011), IBGE: IBGE Rio de Janeiro
[14] IBGE, Censo Demográfico 2010 (Demographic census 2010) (2012), IBGE: IBGE Rio de Janeiro
[15] Kauark-Leite, L.; Vinçon-Leite, B.; Deroubaix, J.; Loireau, A.; Silveira, D.; Haddad, E., Projeto Vida no Vale: Universal access to water and sanitation in the North East of Minas Gerais (Brazil), Hydrology and Earth System Sciences, 12, 4, 1075-1085 (2008)
[16] Larson, B.; Minten, B.; Razafindralambo, R., Unravelling the linkages between the millennium development goals for poverty, education, access to water and household water use in developing countries: Evidence from Madagascar, The Journal of Development Studies, 42, 1, 22-40 (2006)
[17] Marques, R., Universalization of the water and sanitation services in Brazil: A discussion note, Working paper (2013), IST, University of Lisbon
[18] Marques, R., Information and performance systems on brazilian drinking water sector, The brasis project: A eu-brazil sector dialogue project on basic sanitation (2013), FIOCRUZ and JRC
[19] Miettinen, K.; Mäkelä, M. M., On scalarizing functions in multiobjective optimization, OR Spectrum, 24, 2, 193-213 (2002) · Zbl 1040.90037
[20] Mugisha, S.; Borisova, T., Balancing coverage and financial sustainability in pro-poor water service initiatives: A case of a Uganda project, The Engineering Economist, 55, 4, 305-327 (2010)
[21] OECD, Managing water for all - An OECD perspective on pricing and financing (2009), OECD: OECD Paris
[22] OECD, Meeting the challenge of financing water and sanitation - Tools and approaches (2011), OECD: OECD Paris
[23] Oliveira, G.; Scazufca, P.; Marcato, F., Cenários e condições para a universalização do saneamento no Brasil - parte 1 (Settings and conditions for universalization in Brazil - Part 1), Informações FIPE, 364, 4, 18-24 (2011)
[24] Ruiz, A. B.; Saborido, R.; Luque, M., A preference-based evolutionary algorithm for multiobjective optimization: The weighting achievement scalarizing function genetic algorithm, Journal of Global Optimization, 62, 1, 101-129 (2015) · Zbl 1329.90132
[25] Ruiz, F.; Luque, M.; Miguel, F.; del Mar Muñoz, M., An additive achievement scalarizing function for multiobjective programming problems, European Journal of Operational Research, 188, 3, 683-694 (2008) · Zbl 1144.90484
[26] Słowiński, R.; Soniewicki, B.; Weglarz, J., DSS for multiobjective project scheduling, European Journal of Operational Research, 79, 2, 220-229 (1994) · Zbl 0815.90099
[27] SNSA, Panorama do Saneamento Básico no Brasil - Investimentos em Saneamento Básico: Análise Histórica e Estimativa de Necessidades (Overview of basic sanitation in Brazil - Investments: Historical analysis and forecast of necessities), 5 (2011), Ministério das Cidades: Ministério das Cidades Brasília
[28] SNSA, PLANSAB - Plano Nacional de Saneamento Básico: Mais Saúde com Qualidade de Vida e Cidadania (National plan for water, wastewater, drainage and urban waste sectors: More health with quality of life and citizenship) (2013), Ministério das Cidades: Ministério das Cidades Brasília
[29] SNSA, SNIS - Diagnóstico dos Serviços de Água e Esgoto, 2011 (Report of water and wastewater services, 2011) (2013), Ministério das Cidades: Ministério das Cidades Brasília
[30] UNDP, Getting Africa on track to meet the MDGs on water supply and sanitation - A status overview of sixteen African countries (2006), UNDP: UNDP New York
[31] UNDP, Human development report 2011 - Sustainability and equity: A better future for all (2011), UNDP: UNDP New York
[32] UN-Habitat, The challenge of slums, Global report on human settlements (2003), Earthscan Publications Ltd: Earthscan Publications Ltd London
[33] WHO, Global costs and benefits of drinking-water supply and sanitation interventions to reach the MDG target and universal coverage (2012), WHO: WHO Geneva
[34] (Wierzbicki, A.; Makowski, M.; Wessels, J., Model-based decision support methodology with environmental applications (2000), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht) · Zbl 0992.91003
[35] Wierzbicki, A. P., The use of reference objectives in multiobjective optimization, Multiple criteria decision making theory and application, 468-486 (1980), Springer: Springer Berlin Heidelberg · Zbl 0435.90098
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.