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Piece-wise mixed integer programming for optimal sizing of surge control devices in water distribution systems.
- Source :
- Water Resources Research; Jun2015, Vol. 51 Issue 6, p4391-4408, 18p
- Publication Year :
- 2015
-
Abstract
- Despite their potential catastrophic impact, transients are often ignored or presented ad hoc when designing water distribution systems. To address this problem, we introduce a new piece-wise function fitting model that is integrated with mixed integer programming to optimally place and size surge tanks for transient control. The key features of the algorithm are a model-driven discretization of the search space, a linear approximation nonsmooth system response surface to transients, and a mixed integer linear programming optimization. Results indicate that high quality solutions can be obtained within a reasonable number of function evaluations and demonstrate the computational effectiveness of the approach through two case studies. The work investigates one type of surge control devices (closed surge tank) for a specified set of transient events. The performance of the algorithm relies on the assumption that there exists a smooth relationship between the objective function and tank size. Results indicate the potential of the approach for the optimal surge control design in water systems. [ABSTRACT FROM AUTHOR]
- Subjects :
- WATER distribution
KNAPSACK problems
DUAL water systems
HYDRANTS
WATER pipelines
Subjects
Details
- Language :
- English
- ISSN :
- 00431397
- Volume :
- 51
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Water Resources Research
- Publication Type :
- Academic Journal
- Accession number :
- 108425845
- Full Text :
- https://doi.org/10.1002/2014WR016256