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

Weini Zhang, Güzin Bayraksan, Gunhui Chung, Kevin Lansey

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publicationWater Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010
Pages843-860
Number of pages18
DOIs
StatePublished - Jan 30 2012
Event12th Annual International Conference on Water Distribution Systems Analysis 2010, WDSA 2010 - Tucson, AZ, United States
Duration: Sep 12 2010Sep 15 2010

Publication series

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

Other

Other12th Annual International Conference on Water Distribution Systems Analysis 2010, WDSA 2010
CountryUnited States
CityTucson, AZ
Period9/12/109/15/10

Keywords

  • branched network
  • linearization
  • reclaimed water system
  • stochastic binary programming

ASJC Scopus subject areas

  • Water Science and Technology

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    Zhang, W., Bayraksan, G., Chung, G., & Lansey, K. (2012). Optimal reclaimed water network design via two-stage stochastic binary programming. In Water Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010 (pp. 843-860). (Water Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010). https://doi.org/10.1061/41203(425)78