Abstract
Over the last decades, the increasing water demand has caused a number of problems, to which reservoir operation optimization has been suggested as one of the best solutions. In this research, a model based on mixed integer linear programming (MILP) technique is developed for the systematic operation of multireservoirs that are used to cater for the different needs of the Tehran-Karaj plain. These reservoirs include Laar, Latian, and Karaj dams. The system configuration was accomplished through the nodes and arcs of the network flow model approach and system component implementation including sources, consumption, junctions, and the physical and hydraulic relationship between them. The following were performed via comprehensive developed software: system configuration, objective function and constraints formulation, linearization, determining penalty values, and setting priorities for each node and arc in the system. A comparison between the MILP developed model’s results against the periodic data shows 21.7% less overflow, 11.6% more outflow, and 15.9% more reservoir storage, respectively. The outcome of the MILP-based modeling indicates superior performance to the historical period.
Highlights
Water scarcity has become a serious concern in the process of urbanization and socioeconomic development, in metropolis cities in which water resources are limited [1]
The objective function is governing equation in simulation of multiple and multiobjective reservoirs operation. This equation consists of several decision variables including the amount of overflow, reservoirs storage, and the amount of water needed for drinking, agriculture, and industry in each period in each reservoir
The average long term of changes in overflows can be seen in Table 6; the results indicate that for Laar dam there is no overflow value in both historical period and Mixed integer linear programming (MILP) method
Summary
Water scarcity has become a serious concern in the process of urbanization and socioeconomic development, in metropolis cities in which water resources are limited [1]. Uneven periodic and spatial distribution of fresh water and increasing population and social welfare have led to a rising need for water in Iran, principally in Tehran. The aim of this study is to develop a model that can lead to an optimal operation of the current reservoir for better water resource management. Uneven periodic and spatial distribution of fresh water and increasing population and social welfare have led to a rising need for water in Iran, Mathematical Problems in Engineering principally in Tehran. Since Laar, Latian, and Karaj reservoir systems are large scaled and contain many variables and nonlinear constrains during a long historical period, in order to optimize reservoir system in a specific area and to overcome the problems in linear programming and reservoir characteristics MILP is considered as an adequate approach. The aim is to examine MILP’s technical competence in deriving a public policy of reservoir operation
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