Abstract
This paper presents a new methodology of combined use of the nondominated sorting genetic algorithm II (NSGA-II) and the approach of successive elimination of alternatives based on order and degree of efficiency (SEABODE) in identifying the most preferred multireservoir water supply rules in dry years. First, the suggested operation rules consists of a two-point type time-varying hedging policy for a single reservoir and a simple proportional allocation policy of common water demand between two parallel reservoirs. Then, the NSGA-II is employed to derive enough noninferior operation rules (design alternatives) in terms of two conflicting objectives (1) minimizing the total deficit ratio (TDR) of all demands of the entire system in operation horizon, and (2) minimizing the maximum deficit ratio (MDR) of water supply in a single period. Next, the SEABODE, a multicriteria decision making (MCDM) procedure, is applied to further eliminate alternatives based on the concept of efficiency of order k with degree p. In SEABODE, the reservoir performance indices and water shortage indices are selected as evaluation criteria for preference ordering among the design alternatives obtained by NSGA-II. The proposed methodology was tested on a regional water supply system with three reservoirs located in the Jialing River, China, where the results demonstrate its applicability and merits.
Highlights
At present, China is facing a serious situation with increasing frequency of water shortage caused by high population growth and limited water resources
For evolutionary algorithms in engineering applications, multiple trials are needed depending on two aspects: (1) the randomness and initialization, which may largely influence the performance of evolutionary algorithms; and (2) the complexity of the optimization problem
A simple multireservoir operation policy includes the hedging policy for water supply operation of a single reservoir and the proportional allocation policy of downstream common water demand between two parallel reservoirs is suggested by the authors
Summary
China is facing a serious situation with increasing frequency of water shortage caused by high population growth and limited water resources. The design and optimization of reservoir water supply operation rules can yield the greatest benefit and least loss under drought conditions. Several types of water supply operation rules for guiding reservoir releases to meet planned demands have been suggested, such as the standard operating policy (SOP) [1,2], the linear decision rule (LDR) [3], the parametric rule [4], and diverse forms of hedging policy [5,6,7,8]. Among the operation rules mentioned above, the hedging policy can avoid one potential catastrophic deficit of large magnitude that may occur in future by allowing a sequence of smaller deficits in current periods [9] and has been widely applied for managing single reservoir water supply operations during drought periods [5,8,9,10,11,12].
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