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When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.SCOR.2012.103
URN: urn:nbn:de:0030-drops-35519
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2012/3551/
Peano, Andrea ;
Nonato, Maddalena ;
Gavanelli, Marco ;
Alvisi, Stefano ;
Franchini, Marco
A Bilevel Mixed Integer Linear Programming Model for Valves Location in Water Distribution Systems
Abstract
The positioning of valves on the pipes of a Water Distribution System (WDS) is a core decision in the design of the isolation system of a WDS. When closed, valves permit to isolate a small portion of the network, so called a sector, which can be de-watered for maintenance purposes at the cost of a supply disruption. However, valves have a cost so their number is limited, and their position must be chosen carefully in order to minimize the worst-case supply disruption which may occur during pipe maintenance. Supply disruption is usually measured as the undelivered user demand. When a sector is isolated by closing its boundary valves, other portions of the network may become disconnected from the reservoirs as a secondary effect, and experience supply disruption as well. This induced isolation must be taken into account when computing the undelivered demand induced by a sector isolation. While sector topology can be described in terms of graph partitioning, accounting for induced undelivered demand requires network flow modeling. The aim of the problem is to locate a given number of valves at the extremes of the network pipes so that the maximum supply disruption is minimized. We present a Bilevel Mixed Integer Linear Programming (MILP) model for this problem and show how to reduce it to a single level MILP by exploiting duality. Computational results on a real case study are presented, showing the effectiveness of the approach.
BibTeX - Entry
@InProceedings{peano_et_al:OASIcs:2012:3551,
author = {Andrea Peano and Maddalena Nonato and Marco Gavanelli and Stefano Alvisi and Marco Franchini},
title = {{A Bilevel Mixed Integer Linear Programming Model for Valves Location in Water Distribution Systems}},
booktitle = {3rd Student Conference on Operational Research},
pages = {103--112},
series = {OpenAccess Series in Informatics (OASIcs)},
ISBN = {978-3-939897-39-2},
ISSN = {2190-6807},
year = {2012},
volume = {22},
editor = {Stefan Ravizza and Penny Holborn},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2012/3551},
URN = {urn:nbn:de:0030-drops-35519},
doi = {10.4230/OASIcs.SCOR.2012.103},
annote = {Keywords: Isolation Valves Positioning, Bilevel Programming, Hydroinformatics}
}
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Keywords: |
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Isolation Valves Positioning, Bilevel Programming, Hydroinformatics |
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Collection: |
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3rd Student Conference on Operational Research |
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Issue Date: |
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2012 |
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Date of publication: |
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26.06.2012 |
