Chance constrained model for storm-water system design and rehabilitation

A mixed integer chance constrained optimization model was developed to determine design and rehabilitation management strategies for storm-water drainage systems conditioned on the likelihood of exceeding the system's conveyance capacity. The model is multiobjective in nature and capable of considering multiple design or rehabilitation alternatives. The model combines kinematic wave routing methods and second-moment analysis to formulate the chance constraint. In this manner, only the mean, variance, and form of the distribution of the storm-water flows are needed to formulate the deterministic equivalent optimization model. To illustrate the model, an example is presented using an existing storm-water drainage network at Duke University, Durham, North Carolina.

Duke Scholars

Author Miguel A. Medina Civil and Environmental Engineering