Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    A computational algorithm for a class of non-smooth optimal control problems arising in aquaculture operations

    199824_199824.pdf (160.1Kb)
    Access Status
    Open access
    Authors
    Blanchard, E.
    Loxton, Ryan
    Rehbock, Volker
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Blanchard, E. and Loxton, R. and Rehbock, V. 2013. A computational algorithm for a class of non-smooth optimal control problems arising in aquaculture operations. Applied Mathematics and Computations. 219 (16): pp. 8738-8746.
    Source Title
    Applied Mathematics and Computations
    DOI
    10.1016/j.amc.2013.02.070
    ISSN
    0096-3003
    School
    Department of Mathematics and Statistics
    Remarks

    NOTICE: This is the author’s version of a work that was accepted for publication in Applied Mathematics and Computations. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published Applied Mathematics and Computations, Vol. 219, Issue 6. (2013). doi: 10.1016/j.amc.2013.02.070

    URI
    http://hdl.handle.net/20.500.11937/27690
    Collection
    • Curtin Research Publications
    Abstract

    This paper introduces a computational approach for solving non-linear optimal control problems in which the objective function is a discontinuous function of the state. We illustrate this approach using a dynamic model of shrimp farming in which shrimp are harvested at several intermediate times during the production cycle. The problem is to choose the optimal harvesting times and corresponding optimal harvesting fractions (the percentage of shrimp stock extracted) to maximize total revenue. The main difficulty with this problem is that the selling price of shrimp is modelled as a piecewise constant function of the average shrimp weight and thus the revenue function is discontinuous. By performing a time-scaling transformation and introducing a set of auxiliary binary variables, we convert the shrimp harvesting problem into an equivalent optimization problem that has a smooth objective function. We then use an exact penalty method to solve this equivalent problem. We conclude the paper with a numerical example.

    Related items

    Showing items related by title, author, creator and subject.

    • Optimal control of impulsive switched systems with minimum subsystem durations
      Blanchard, E.; Loxton, Ryan; Rehbock, Volker (2013)
      This paper presents a new computational approach for solving optimal control problems governed by impulsive switched systems. Such systems consist of multiple subsystems operating in succession, with possible instantaneous ...
    • Optimal control problems with constraints on the state and control and their applications
      Li, Bin (2011)
      In this thesis, we consider several types of optimal control problems with constraints on the state and control variables. These problems have many engineering applications. Our aim is to develop efficient numerical methods ...
    • Computational methods for solving optimal industrial process control problems
      Chai, Qinqin (2013)
      In this thesis, we develop new computational methods for three classes of dynamic optimization problems: (i) A parameter identification problem for a general nonlinear time-delay system; (ii) an optimal control problem ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.