MILP for optimizing water allocation and reservoir location: A case study for the Machángara river basin, Ecuador
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.
Año de publicación:
2019
Keywords:
- MILP
- Reservoir optimization
- LP
- Water allocation
- Network Flow Optimization Problem (NFOP)
- Machangara
Fuente:
Tipo de documento:
Article
Estado:
Acceso abierto
Áreas de conocimiento:
- Optimización matemática
- Recursos hídricos
Áreas temáticas:
- Ingeniería sanitaria
- Economía de la tierra y la energía
- Otros problemas y servicios sociales