IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v130y2006i2d10.1007_s10957-006-9101-0.html
   My bibliography  Save this article

Some Variants of the Controlled Random Search Algorithm for Global Optimization

Author

Listed:
  • P. Kaelo

    (Witwatersrand University)

  • M. M. Ali

    (Witwatersrand University)

Abstract

We suggested some modifications to the controlled random search (CRS) algorithm for global optimization. We introduce new trial point generation schemes in CRS, in particular, point generation schemes using linear interpolation and mutation. Central to our modifications is the probabilistic adaptation of point generation schemes within the CRS algorithm. A numerical study is carried out using a set of 50 test problems many of which are inspired by practical applications. Numerical experiments indicate that the resulting algorithms are considerably better than the previous versions. Thus, they offer a reasonable alternative to many currently available stochastic algorithms, especially for problems requiring direct search type methods.

Suggested Citation

  • P. Kaelo & M. M. Ali, 2006. "Some Variants of the Controlled Random Search Algorithm for Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 253-264, August.
    • Handle: RePEc:spr:joptap:v:130:y:2006:i:2:d:10.1007_s10957-006-9101-0
    DOI: 10.1007/s10957-006-9101-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-006-9101-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-006-9101-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. M. M. Ali & C. Storey & A. Törn, 1997. "Application of Stochastic Global Optimization Algorithms to Practical Problems," Journal of Optimization Theory and Applications, Springer, vol. 95(3), pages 545-563, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Port, Alexander & Bryan, Karin R. & Pilditch, Conrad A. & Hamilton, David P. & Bischof, Kai, 2015. "Algebraic equilibrium solution of tissue nitrogen quota in algae and the discrepancy between calibrated parameters and physiological properties," Ecological Modelling, Elsevier, vol. 312(C), pages 281-291.
    2. Antoine Arnoud & Fatih Guvenen & Tatjana Kleineberg, 2019. "Benchmarking Global Optimizers," NBER Working Papers 26340, National Bureau of Economic Research, Inc.
    3. Gaillard, Alexandre & Kankanamge, Sumudu, 2018. "Entrepreneurship, Labor Market Mobility and the Role of Entrepreneurial Insurance," TSE Working Papers 18-929, Toulouse School of Economics (TSE), revised Jan 2019.
    4. Mikhail Chernov & Brett R. Dunn & Francis A. Longstaff, 2018. "Macroeconomic-Driven Prepayment Risk and the Valuation of Mortgage-Backed Securities," The Review of Financial Studies, Society for Financial Studies, vol. 31(3), pages 1132-1183.
    5. Mullen, Katharine M., 2014. "Continuous Global Optimization in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 60(i06).
    6. Belssing Taruvinga, 2019. "Solving Selected Problems on American Option Pricing with the Method of Lines," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4-2019, January-A.
    7. Boda Kang & Christina Nikitopoulos Sklibosios & Erik Schlogl & Blessing Taruvinga, 2019. "The Impact of Jumps on American Option Pricing: The S&P 100 Options Case," Research Paper Series 397, Quantitative Finance Research Centre, University of Technology, Sydney.
    8. Croonenbroeck, Carsten & Hennecke, David, 2021. "A comparison of optimizers in a unified standard for optimization on wind farm layout optimization," Energy, Elsevier, vol. 216(C).
    9. THELOUDIS Alexandros, 2018. "Wages and Family Time Allocation," LISER Working Paper Series 2018-06, Luxembourg Institute of Socio-Economic Research (LISER).
    10. Gouvêa, Érica J.C. & Regis, Rommel G. & Soterroni, Aline C. & Scarabello, Marluce C. & Ramos, Fernando M., 2016. "Global optimization using q-gradients," European Journal of Operational Research, Elsevier, vol. 251(3), pages 727-738.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ali, M.M., 2007. "Synthesis of the [beta]-distribution as an aid to stochastic global optimization," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 133-149, September.
    2. Ziwei Lin & Andrea Matta & Sichang Du & Evren Sahin, 2022. "A Partition-Based Random Search Method for Multimodal Optimization," Mathematics, MDPI, vol. 11(1), pages 1-30, December.
    3. Takeshi Tsuchiya, 2012. "Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation," Journal of Global Optimization, Springer, vol. 54(4), pages 831-854, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:130:y:2006:i:2:d:10.1007_s10957-006-9101-0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.