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 dewatered 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 worstcase 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 = {103112},
series = {OpenAccess Series in Informatics (OASIcs)},
ISBN = {9783939897392},
ISSN = {21906807},
year = {2012},
volume = {22},
editor = {Stefan Ravizza and Penny Holborn},
publisher = {Schloss DagstuhlLeibnizZentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2012/3551},
URN = {urn:nbn:de:0030drops35519},
doi = {http://dx.doi.org/10.4230/OASIcs.SCOR.2012.103},
annote = {Keywords: Isolation Valves Positioning, Bilevel Programming, Hydroinformatics}
}
2012
Keywords: 

Isolation Valves Positioning, Bilevel Programming, Hydroinformatics 
Seminar: 

3rd Student Conference on Operational Research

Related Scholarly Article: 


Issue date: 

2012 
Date of publication: 

2012 