| Title: | MILP for optimizing water allocation and reservoir location: A case study for the Machángara River Basin, Ecuador |
| Authors: | Veintimilla-Reyes, J., A. De Meyer, D. Cattrysse, E. Tacuri, P. Vanegas, F. Cisneros and J. Van Orshoven |
| Year: | 2019 |
| Journal: | Water |
| Volume (Issue): | 11(5) |
| Pages: | |
| Article ID: | 1011 |
| DOI: | 10.3390/w11051011 |
| URL (non-DOI journals): | |
| Model: | SWAT |
| Broad Application Category: | hydrologic only |
| Primary Application Category: | model and/or data interface |
| Secondary Application Category: | reservoirs, ponds, lakes and/or other impoundment effects |
| Watershed Description: | 323.55 km^2 Machángara River, a tributary of the Cuenca River (and larger Santiago River system) located in the Provinces of Azuay and Canar in southern Ecuador. |
| Calibration Summary: | |
| Validation Summary: | |
| General Comments: | |
| Abstract: | The allocation of water flowing through a river-with-reservoirs system to optimally
meet spatially distributed and temporally variable demands can be conceived as a network flow
optimization (NFO) problem and addressed by linear programming (LP). In this paper, we present an
extension of the strategic NFO-LP model of our previous model to a mixed integer linear programming
(MILP) model to simultaneously optimize the allocation of water and the location of one or more
new reservoirs; the objective function to minimize only includes two components (floods and water
demand), whereas the extended LP-model described in this paper, establishes boundaries for each
node (reservoir and river segments) and can be considered closer to the reality. In the MILP model,
each node is called a “candidate reservoir” and corresponds to a binary variable (zero or one)
within the model with a predefined capacity. The applicability of the MILP model is illustrated
for the Machángara river basin in the Ecuadorian Andes. The MILP shows that for this basin the
water-energy-food nexus can be mitigated by adding one or more reservoirs. |
| Language: | English |
| Keywords: | MILP; LP, Network Flow Optimization Problem (NFOP), water allocation, reservoir optimization, Machángara |