TY - GEN

T1 - Optimal reclaimed water network design via two-stage stochastic binary programming

AU - Zhang, Weini

AU - Bayraksan, Güzin

AU - Chung, Gunhui

AU - Lansey, Kevin

PY - 2012/1/30

Y1 - 2012/1/30

N2 - Diminishing supplies and population growth are stressing the limited water resources in many areas. A significant - but underutilized - water resource is reclaimed water, i.e., treated wastewater that is reintroduced for various purposes. In this paper, we present a cost-effective reclaimed water network design for irrigating public and agricultural areas using two-stage stochastic binary programming with random recourse. We consider both construction and energy costs expanded during a twenty-year period. By introducing binary variables that indicate discrete pipe and pump sizes, the nonlinear hydraulic equations, such as the Hazen-Williams equation, are linearized in system formulation. We consider uncertain reclaimed water demands, temporal and spatial population changes with two-stage construction decisions. In order for the system to meet significantly higher demands during the peak times, we consider two pumping conditions: one with average demands, which is used to compute the average energy consumption, and the other with peak demands, which is used for pipe size and pump station capacity selection. We apply our methodology to design a reclaimed water network for a realistic municipal system under estimated demand and population scenarios. We present the optimal total cost and system design, and examine the sensitivity of the system to model parameters.

AB - Diminishing supplies and population growth are stressing the limited water resources in many areas. A significant - but underutilized - water resource is reclaimed water, i.e., treated wastewater that is reintroduced for various purposes. In this paper, we present a cost-effective reclaimed water network design for irrigating public and agricultural areas using two-stage stochastic binary programming with random recourse. We consider both construction and energy costs expanded during a twenty-year period. By introducing binary variables that indicate discrete pipe and pump sizes, the nonlinear hydraulic equations, such as the Hazen-Williams equation, are linearized in system formulation. We consider uncertain reclaimed water demands, temporal and spatial population changes with two-stage construction decisions. In order for the system to meet significantly higher demands during the peak times, we consider two pumping conditions: one with average demands, which is used to compute the average energy consumption, and the other with peak demands, which is used for pipe size and pump station capacity selection. We apply our methodology to design a reclaimed water network for a realistic municipal system under estimated demand and population scenarios. We present the optimal total cost and system design, and examine the sensitivity of the system to model parameters.

KW - branched network

KW - linearization

KW - reclaimed water system

KW - stochastic binary programming

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U2 - 10.1061/41203(425)78

DO - 10.1061/41203(425)78

M3 - Conference contribution

AN - SCOPUS:84862914445

SN - 9780784412039

T3 - Water Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010

SP - 843

EP - 860

BT - Water Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010

T2 - 12th Annual International Conference on Water Distribution Systems Analysis 2010, WDSA 2010

Y2 - 12 September 2010 through 15 September 2010

ER -