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    Design of irrigation system of canals using stochastic optimization approach.

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    Author
    Elshorbagy, Walid Ali.
    Issue Date
    1995
    Committee Chair
    Lansey, Kevin E
    Yakowitz, Diana
    
    Metadata
    Show full item record
    Publisher
    The University of Arizona.
    Rights
    Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
    Abstract
    Design capacities of irrigation system canals determine the size and the cost of the system. Decisions to define the canal capacities depend on many uncertain parameters such as those describing the system operation and crop return. The most economical design can be obtained from an optimization model that accounts for these uncertainties while considering both the system design and operation. A two-stage stochastic problem with recourse is formulated in which the canal capacities are the first stage decisions and the water allocations are made in the second stage. This dissertation examines the two-state regularized stochastic decomposition algorithm and modifies it to better handle general engineering applications. It was used to solve for the optimal canal capacities under uncertain parameters present in the right hand side (RHS) of the second-stage constraints. The L-shaped method was then used to solve for these capacities under uncertain objective coefficients as well as RHS parameters. Obtained capacities from the stochastic approach were compared with results obtained from a traditional design procedure and from a deterministic optimization model in different conditions. The comparison demonstrates the merit of the proposed approach and points out the necessity to consider the parameters uncertainties when designing under certain conditions.
    Type
    text
    Dissertation-Reproduction (electronic)
    Degree Name
    Ph.D.
    Degree Level
    doctoral
    Degree Program
    Civil Engineering and Engineering Mechanics
    Graduate College
    Degree Grantor
    University of Arizona
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