A Fuzzy Linear Programming Model for Improving Productivity of Electrical Energy in Potable Water Supply Facilities (Case study: Sistan Water Supply Project)

Document Type : Research Paper

Authors

1 Assist. Prof., Dept. of Industrial Engineering, Islamic Azad University, Tehran North Branch, Tehran, Iran

2 Former Graduate Student, Dept. of Industrial Engineering, Islamic Azad University, Zahedan, Iran

Abstract

One of the most important operational issues in urban drinking water production and distribution systems is to assign a plan for running hours of water supplying electric pumps. The cost of consuming electricity in these pumps allocates most of water and wastewater companies operational costs to itself which is dependent to their running hours. In this paper, meanwhile having a field study in Sistan rural water and wastewater company, the constraints for specifying electric pumps operational time in water supplying resources such as restrictions in fulfilling demand, supply potable water with suitable quality and uselessness of electric pumps have been identified. Due to uncertainty and fuzziness of the constraints, a linear programming model with fuzzy restrictions for determining electric pumps running hours per day is submitted with the aim to minimize electricity consumption and cost. After collecting and using required data for model, it proved that using the proposed model could reduce the costs of electrical energy and increase productivity up to 23 percent per month. The proposed mathematical fuzzy programming is able to specify electric pumps scheduling plan for water supply resources with the aim to reduce the costs of consuming energy.

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References

Bagirov, A.M., Barton, A.F., Mala-Jetmarova, H., Nuaimat, A., Al Ahmed, S.T., Sultanova, N., et al., 2013, "An algorithm for minimization of pumping costs in water distribution systems using a novel approach to pump scheduling", Mathematical and Computer Modeling, 57, 873-886.
Bector, C.R. & Chandra, S., 2005, Fuzzy mathematical programming and fuzzy matrix games, Springer, USA.
Błaszczyk, J., Karbowski A., Krawczyk, K., Malinowski, K. & Allidinac, A., 2012, "Optimal pump scheduling for large scale water transmission system by linear programming", Journal of Telecommunications and Information Technology, 3, 91-96.
Bonvin, G., Samperio, A., Le Pape, C., Mazauric, V., Demassey, S. & Maïzi, N., 2015, "A heuristic approach to the water networks pumping scheduling issue", Energy Procedia, 75, 2846-2851.
De Corte, A. & Sorensen, K., 2013, "Optimisation of gravity-fed water distribution network design: A critical review", European Journal of Operational Research, 228, 1- 10.
Hashemi, S. S., Tabesh, M., & AtaeeKia, B., 2014, "Ant-colony optimization of pumping schedule to minimize the energy cost using variable-speed pumps in water distribution networks", Urban Water Journal, 11(5), 335-347.
Herbertson, P.W. & Tate, E.L., 2001, Tools for water use and demand management in South Africa, World Meteorological Organization, Technical Reports in Hydrology and Water Resources, No. 73.
Hoppel, S. K. & Viessman W., 1972, "A linear analysis of an urban water supply system", Journal of the American Water Resources Association, 8(2), 304-311.
Ismail, T., 1994, "Analysis of urban water supply by linear programming", Journal Kejuruteraan Awam, 7 (2), 51-60.
Lopez-Ibanez, M., Devi Prasad, T. & Paechter, B., 2008, "Ant colony optimization for optimal control of pumps in water distribution networks", Journal of Water Resources Planning and Management, 134 (4), 337-346.
Marques J., Cunha, M., Savic, D.A., 2015, "Multi-objective optimization of water distribution systems based on a real options approach", Environmental Modeling & Software, 63(0),1-13.
Menke, R., Abraham, E., Parpas P., & Stoianov, I., 2016, "Demonstrating demand response from water distribution system through pump scheduling", Applied Energy, 170, 377-387.
Ormsbee, L., Lingireddy, S. & Chase, D., 2009, "Optimal pump scheduling for water distribution systems", Multidisciplinary International Conference on Scheduling: Theory and Applications (MISTA 2009),10-12 Dublin, Ireland
Pulido-Calvo, I., & Carlos Gutiérrez-Estrada, J., 2011, "Selection and operation of pumping stations of water distribution system", Environmental Research Journal, 5 (3), 1-20.
Rajabi, Gh. A. & Mobini Bidgoli, A., 2000, "Energy management in water and wastewater systems", Proceeding of Fifth Joint Seminar of Iran and Germany in Water and Wastewater, Tehran, 97-110. (In Persian).
Rajabpour, R., & Afshar, M. H., 2008, "Optimized operation of serial pump stations using the PSO algorithm", Journal of Water and Wastewater, Vol. 19 No. 2 (66) 56-66. (In Persian).
Rajabpour, R., Talebbeyokhti, N. & Rakhshande-Roo, Gh., 2016, "A novel Algorithm (G-JPSO) ant its development for optimum control of pumps in water distribution networks", Journal of Water & Wastewater, Vol. 26 No. 6 (100), 3-14. (In Persian).
Shavandy, H., 2006, Fuzzy sets theory and its applications in industrial engineering and management, 1st Ed., Basic Science Development Pub., Tehran, Iran. (In Persian)
Spulber, N., & Sabbaghi, A., 1998, Economics of water resources: From regulation to privatization, 2nd Ed., Springer, USA.
Taha Hamdy, A., 2011, Operations research: An introduction, Prentice Hall PTR, New Jersy.
Tsakiris, G. & Spiliotis, M., 2004, "Fuzzy linear programming for problems of water allocation under uncertainty", European Water, 7/8, 25-37.
Van Staden, A. J., Zhang, J. & Xia, X., 2011, "A model predictive control strategy for load shifting in a water pumping scheme with maximum demand charges", Applied Energy, 88, 4785-4794.
Van Zyl, J.E., Savic, D.A. & Walters, G.A., 2004, "Operational optimization of water distribution systems using a hybrid genetic algorithm", Journal of Water Resources Planning and Management, 130 (2), 160-170.
Water and Wastewater Engineering Company, 2007, Operation Regulation and general conditions of water and wastewater costs, Tehran, Iran. (In Persian).
Zessler, U. & Shamir, U., 1989, "Optimal operation of water distribution systems", Journal of Water Resources Planning and Management, 115 (6), 735-752.
Journal of Water and Wastewater; Ab va Fazilab ( in persian )
Volume 29, Issue 1 - Serial Number 113
March and April 2018
Pages 27-36

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