eng
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Open Access Series in Informatics
2190-6807
2012-06-26
103
112
10.4230/OASIcs.SCOR.2012.103
article
A Bilevel Mixed Integer Linear Programming Model for Valves Location in Water Distribution Systems
Peano, Andrea
Nonato, Maddalena
Gavanelli, Marco
Alvisi, Stefano
Franchini, Marco
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.
https://drops.dagstuhl.de/storage/01oasics/oasics-vol022-scor2012/OASIcs.SCOR.2012.103/OASIcs.SCOR.2012.103.pdf
Isolation Valves Positioning
Bilevel Programming
Hydroinformatics