Journal Article10.1061/(ASCE)0733-9429(1997)123:11(1020)
Linearized Optimization Model for Reliability-Based Design of Water Systems
Roberto Guercio,Zuxin Xu +1 more
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TL;DR: In this paper, a new technique is developed that applies a linear programming algorithm to optimal design constrained by reliability, and three submodels (a steady-state simulation model, a reliability model, and a linear optimization model) are linked in the algorithm.
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Abstract: Optimal network design constrained by reliability is an improvement over the traditional methods for water-distribution system analysis. But the large computer time for reliability-optimization restricts its practical use for design. In this paper, a new technique is developed that applies a linear programming algorithm to optimal design constrained by reliability. The objective function and constraints are expressed by a first-order Taylor series expansion, and three submodels (a steady-state simulation model, a reliability model, and a linear optimization model) are linked in the algorithm. The optimal search is done in two steps. The first step is to search for an optimal solution and then the reliability and pressure heads, evaluated on this configuration, are compared with the constraint values. If there still exists a possibility that the cost of the system can be further decreased a new iteration is repeated. The computing burden is significantly decreased and, therefore, the proposed reliability-optimization technique can be used in planning large networks.
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TL;DR: This document describes the most important mathematical aspects needed in some of the stages of the integral cycle of water, with special emphasis on the most current topics.
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Dual Water Distribution Network Design under Triple-Bottom-Line Objectives
TL;DR: A few studies have been completed for the design of reclaimed water distribution through a parallel pipe system as discussed by the authors, however, attention has mainly focused on the recycling of effluent for large users, such as golf courses, parks, and schools with the objective of minimizing economic cost.
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Stochastic Design of Water Distribution Systems with Expected Annual Damages
TL;DR: In this paper, the authors present a stochastic design approach that quantifies the expected annual damages sustained by residential, commercial, and industrial users during low and high-pressure hydraulic failures in a water network.
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References
Design of optimal water distribution systems
E. Alperovits,Uri Shamir +1 more
TL;DR: In this paper, a method called linear programing gradient (LPG) is presented, by which the optimal design of a water distribution system can be obtained, by means of linear programming.
933
Reliability‐Based Optimization Model for Water Distribution Systems
TL;DR: In this paper, the authors present a framework for a model that can be used to determine the optimal (least cost) design of a water distribution system subject to continuity, conservation of energy, nodal head bounds, and reliability constraints.
329
Optimization Model for Water Distribution System Design
TL;DR: In this paper, a new methodology is developed for determining the optimal (minium-cost) design of water distribution systems based on a generalized reduced gradient model to solve a problem that is reduced in size and complexity by implicitly solving the conservation of mass and energy equations.
242
Water Distribution System Design Under Uncertainties
TL;DR: In this paper, a chance constrained model is presented for the minimum cost design of water distribution networks, which attempts to account for the uncertainties in required demands, required pressure heads, and pipe roughness coefficients.
Optimal Reliability‐Based Design of Pumping and Distribution Systems
TL;DR: In this article, a reliability-based optimization model for water-distribution systems is developed, which is aimed at the following goals: (1) design of the pipe network including the number, location, and size of pumps and tanks; (2) designing of the pumping system using a reliabilitybased procedure considering both hydraulic failures of the entire network and mechanical failure of the pump system; and (3) determination of the optimal operation of the pumps.
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