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A constructive solution for optimal local control of runoff events

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  • Brummer, Johannes

Abstract

The task of optimal local control of extreme rainfall-runoff events in sewer pipe systems is outlined and formalized as a mathematical optimization problem applicable in many other similar situations. The goals of control, i.e. minimizing of overflow, uniform runoff to purification plant and effective use of retention basin, are transformed into a numerical expression with additional conditions. Along this measure the continuous inflow has to be decomposed into the three parts ongoing pipe flow, overflow and basin inflow. Whereas the existence and uniqueness of the solution can easily be realized, the derivation of a constructive and computable solution of the problem requires some preparation: For demonstration of the main theorem some auxiliary lemmas and an approximation proposition of general mathematical interest have to be proven. Some examples illustrate the calculation and application of the control functions and their effects.

Suggested Citation

  • Brummer, Johannes, 1995. "A constructive solution for optimal local control of runoff events," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 39-52.
    • Handle: RePEc:eee:matcom:v:39:y:1995:i:1:p:39-52
    DOI: 10.1016/0378-4754(94)00134-6
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    Cited by:

    1. Nick Stafford & Daniel Che & L. Mays, 2015. "Optimization Model for the Design of Infiltration Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2789-2804, June.
    2. Robert Oxley & Larry Mays, 2014. "Optimization – Simulation Model for Detention Basin System Design," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(4), pages 1157-1171, March.

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