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Abstract
The paper deals with the problem of finding a control strategy for optimal design of a storm sewer system having a tree-type structure. The criterion for design decisions is the generation of a least cost system. Both of the dynamic programming (DP) and discrete differential dynamic programming (DDDP) techniques are evaluated and used as the optimization tool of the system to design its layout, manhole locations, and the diameter, slope, and crown elevations of each sewer in the system. The concepts of hydrograph routing, and risks and uncertainties in design are investigated and used as optimal system components. Different methods of hydrograph routing are reviewed, evaluated, and incorporated with the design's risks in the optimized system. These methods are applied to a real system and the results are compared and evaluated. A conclusion concering the optimal strategy in a storm sewer system design is reached.