Enhanced lower bounds and an algorithm for a water distribution network design model
The design of water distribution systems has received a great deal of attention in the last three decades because of its importance to industrial growth and its crucial role in society for community health, firefighting capability, and quality of life. The cost of installing a water distribution sys...
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ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-444892021-06-22T05:29:09Z Enhanced lower bounds and an algorithm for a water distribution network design model Totlani, Rajiv Industrial and Systems Engineering global optimization water distribution system branch-and-bound LD5655.V855 1996.T685 The design of water distribution systems has received a great deal of attention in the last three decades because of its importance to industrial growth and its crucial role in society for community health, firefighting capability, and quality of life. The cost of installing a water distribution system is typically in the tens of millions of dollars. These systems also account for the largest costs in the municipal maintenance budgets. Furthermore, existing systems are being burdened by increasing urban development and water use. All these factors cause the pipe sizing decisions to be a critical task in designing a cost effective water distribution system that is capable of handling the demand and satisfying the minimum pressure head and hydraulic redundancy requirements. A number of research efforts have focused on the least cost pipe sizing decision, each of them generating improved solutions for several standard test problems from literature, but so far, very little work has been done to test the quality of these solutions. In this thesis, two lower bounding schemes are proposed to evaluate the quality of these solutions. These lower bounding schemes make use of the special concave-convex nature of the nonlinear frictional loss terms. We show that the first is a dual to <i>Eiger et al.’s</i> [1994] bounding procedure while the second method produces far tighter lower bounds with comparable ease. Results on applying these lower bounding schemes to some standard test problems from literature are presented. The second lower bounding scheme is then embedded in a branch-and-bound procedure along with an upper bounding scheme by suitably restricting the flows at each node of the search tree. By branching successively, we attempt to narrow the gap from optimality to generate near optimal solutions to the least cost pipe sizing problem. This results in a comprehensive reduced cost network design that satisfies all pressure and flow requirements for realistically sized problems. The proposed method is applied to standard test problems from the literature. It is hoped that this method will provide a useful tool for city engineers to design a cost effective water distribution system that meets specified hydraulic requirements. Master of Science 2014-03-14T21:44:00Z 2014-03-14T21:44:00Z 1996 2008-08-29 2008-08-29 2008-08-29 Thesis Text etd-08292008-063331 http://hdl.handle.net/10919/44489 http://scholar.lib.vt.edu/theses/available/etd-08292008-063331/ en OCLC# 36828964 LD5655.V855_1996.T685.pdf In Copyright http://rightsstatements.org/vocab/InC/1.0/ vi, 60 leaves BTD application/pdf application/pdf Virginia Tech |
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global optimization water distribution system branch-and-bound LD5655.V855 1996.T685 Totlani, Rajiv Enhanced lower bounds and an algorithm for a water distribution network design model |
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The design of water distribution systems has received a great deal of attention in the last three decades because of its importance to industrial growth and its crucial role in society for community health, firefighting capability, and quality of life. The cost of installing a water distribution system is typically in the tens of millions of dollars. These systems also account for the largest costs in the municipal maintenance budgets. Furthermore, existing systems are being burdened by increasing urban development and water use. All these factors cause the pipe sizing decisions to be a critical task in designing a cost effective water distribution system that is capable of handling the demand and satisfying the minimum pressure head and hydraulic redundancy requirements.
A number of research efforts have focused on the least cost pipe sizing decision, each of them generating improved solutions for several standard test problems from literature, but so far, very little work has been done to test the quality of these solutions. In this thesis, two lower bounding schemes are proposed to evaluate the quality of these solutions. These lower bounding schemes make use of the special concave-convex nature of the nonlinear frictional loss terms. We show that the first is a dual to <i>Eiger et al.’s</i> [1994] bounding procedure while the second method produces far tighter lower bounds with comparable ease. Results on applying these lower bounding schemes to some standard test problems from literature are presented.
The second lower bounding scheme is then embedded in a branch-and-bound procedure along with an upper bounding scheme by suitably restricting the flows at each node of the search tree. By branching successively, we attempt to narrow the gap from optimality to generate near optimal solutions to the least cost pipe sizing problem. This results in a comprehensive reduced cost network design that satisfies all pressure and flow requirements for realistically sized problems. The proposed method is applied to standard test problems from the literature. It is hoped that this method will provide a useful tool for city engineers to design a cost effective water distribution system that meets specified hydraulic requirements. === Master of Science |
author2 |
Industrial and Systems Engineering |
author_facet |
Industrial and Systems Engineering Totlani, Rajiv |
author |
Totlani, Rajiv |
author_sort |
Totlani, Rajiv |
title |
Enhanced lower bounds and an algorithm for a water distribution network design model |
title_short |
Enhanced lower bounds and an algorithm for a water distribution network design model |
title_full |
Enhanced lower bounds and an algorithm for a water distribution network design model |
title_fullStr |
Enhanced lower bounds and an algorithm for a water distribution network design model |
title_full_unstemmed |
Enhanced lower bounds and an algorithm for a water distribution network design model |
title_sort |
enhanced lower bounds and an algorithm for a water distribution network design model |
publisher |
Virginia Tech |
publishDate |
2014 |
url |
http://hdl.handle.net/10919/44489 http://scholar.lib.vt.edu/theses/available/etd-08292008-063331/ |
work_keys_str_mv |
AT totlanirajiv enhancedlowerboundsandanalgorithmforawaterdistributionnetworkdesignmodel |
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1719411929128108032 |