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An actual flood event in the upstream of Shuangjiangkou reservoir and the corresponding interval flood events are used as the input to the cascade system. We generate the alternatives according to the following principle. According to the importance weights between the safety of reservoirs and downstream protected regions, we first determine the operation model of the upstream reservoir, then determine the operation model of the downstream reservoirs in sequence. In real-world reservoir flood control operation, the discharge capacity operation model, the regular operation model, and the maximum flood peak reduction operation model are the three most widely used models. Because the flood event is large (the return period is close to a hundred years), in order to avoid the risk of dam failure, the Houziyan reservoir only uses the discharge capacity operation model due to its small flood control capacity. The Shuangjiangkou reservoir uses the discharge capacity operation model and the maximum flood peak reduction operation model. The Pubugou reservoir uses all of the three operation models above for reservoir flood routing. As shown in Table 2, we consider six combinations of the three operation models in the cascade system, and generate six corresponding flood control operation alternatives.

Table 2

Combination of reservoir operation models for different alternatives

Operation models
Alternative no.
Shuangjiangkou reservoirHouziyan reservoirPubugou reservoir
The discharge capacity operation model The discharge capacity operation model The discharge capacity operation model 
The regular operation model 
The maximum flood peak reduction operation model 
The maximum flood peak reduction operation model The discharge capacity operation model 
The regular operation model 
The maximum flood peak reduction operation model 
Operation models
Alternative no.
Shuangjiangkou reservoirHouziyan reservoirPubugou reservoir
The discharge capacity operation model The discharge capacity operation model The discharge capacity operation model 
The regular operation model 
The maximum flood peak reduction operation model 
The maximum flood peak reduction operation model The discharge capacity operation model 
The regular operation model 
The maximum flood peak reduction operation model 

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