Relax-tighten-round algorithm for optimal placement and control of valves and chlorine boosters in water networks
File(s)EJOR___Pressure_and_Chlorine__Supp__Material_.pdf (186.72 KB)
Supporting information
OA Location
Author(s)
Pecci, Filippo
Stoianov, Ivan
Ostfeld, Avi
Type
Journal Article
Abstract
In this paper, a new mixed integer nonlinear programming formulation is proposed for optimally placing and operating pressure reducing valves and chlorine booster stations in water distribution networks. The objective is the minimization of average zone pressure, while penalizing deviations from a target chlorine concentration. We propose a relax-tighten-round algorithm based on tightened polyhedral relaxations and a rounding scheme to compute feasible solutions, with bounds on their optimality gaps. This is because off-the-shelf global optimization solvers failed to compute feasible solutions for the considered non-convex mixed integer nonlinear program. The implemented algorithm is evaluated using three benchmarking water networks, and they are shown to outperform off-the-shelf solvers, for these case studies. The proposed heuristic has enabled the computation of good quality feasible solutions in most instances, with bounds on the optimality gaps that are comparable to the order of uncertainty observed in operational water network models.
Date Issued
2021-12-01
Date Acceptance
2021-03-04
Citation
European Journal of Operational Research, 2021, 295 (2), pp.690-698
ISSN
0377-2217
Publisher
Elsevier
Start Page
690
End Page
698
Journal / Book Title
European Journal of Operational Research
Volume
295
Issue
2
Copyright Statement
© 2021 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Engineering & Physical Science Research Council (E
Identifier
https://www.sciencedirect.com/science/article/pii/S0377221721001946?via%3Dihub
Grant Number
EP/P004229/1
Subjects
math.OC
math.OC
Operations Research
Publication Status
Published
Date Publish Online
2021-03-10