A constructive solution for optimal local control of runoff events

Johannes Brummer

Mathematics and Computers in Simulation (MATCOM), 1995, vol. 39, issue 1, 39-52

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.

Date: 1995
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378475494001346
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:39:y:1995:i:1:p:39-52

DOI: 10.1016/0378-4754(94)00134-6

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().