IDEAS home Printed from https://ideas.repec.org/a/wly/apsmbi/v22y2006i4p335-350.html
   My bibliography  Save this article

Conditional length distributions induced by the coverage of two points by a Poisson Voronoï tessellation: application to a telecommunication model

Author

Listed:
  • Catherine Gloaguen

Abstract

The end points of a fixed segment in the Euclidian plane covered by a Poisson Voronoï tessellation belong to the same cell or to two distinct cells. This marks off one or two points of the underlying Poisson process that are the nucleus(i) of the cell(s). Our interest lies in the geometrical relationship between these nuclei and the segment end points as well as between the nuclei. We investigate their probability distribution functions conditioning on the number of nuclei, taking into account the length of the segment. The aim of the study is to establish some tools to be used for the analysis of a telecommunication problem related to the pricing of leased lines. We motivate and give accurate approximations of the probability of common coverage and of the length distributions that can be included in spreadsheet codes as an element of simple cost functions. Copyright © 2006 John Wiley & Sons, Ltd.

Suggested Citation

  • Catherine Gloaguen, 2006. "Conditional length distributions induced by the coverage of two points by a Poisson Voronoï tessellation: application to a telecommunication model," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 22(4), pages 335-350, July.
    • Handle: RePEc:wly:apsmbi:v:22:y:2006:i:4:p:335-350
    DOI: 10.1002/asmb.630
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/asmb.630
    Download Restriction: no
    File URL: https://libkey.io/10.1002/asmb.630?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:wly:apsmbi:v:22:y:2006:i:4:p:335-350. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1526-4025 .

    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.