Results 1 to 4 of 4

Math Help - How to use probability to determine impact of change in inspection interval?

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    2

    Smile How to use probability to determine impact of change in inspection interval?

    Hi,

    I'm new to this forum so if i'm in the wrong place, please tell me ok?

    I have a problem that i can describe but i can define the problem statement in terms of probability. I'm not even sure whether probability can be used to solve the problem in the first place. Anyway, here goes..

    I'm currently inspecting an aircraft component for corrosion and cracks every 200hrly. These are random failures. I have inspected 50 aircraft for the past 1000hrs for each aircraft i.e. thats makes for 5 inspections done so far per aircraft. I have found zero defects thus far. I now want to extend the interval for the same inspection from 200hrly to 400hrly. I know that at the back of my head, that by doing so, i increase the probability of not detecting any cracks and corrosion, because i'm checking the component less often. BUT i also know that the data thus far tells me that the reliability of the component is good i.e. no cracks and corrosion so far. How can i use probability to say how much less likely am i able to detect cracks and corrosion, when i extend the interval?

    Thanks!

    Ethan Ng
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by EthanNg View Post
    Hi,

    I'm new to this forum so if i'm in the wrong place, please tell me ok?

    I have a problem that i can describe but i can define the problem statement in terms of probability. I'm not even sure whether probability can be used to solve the problem in the first place. Anyway, here goes..

    I'm currently inspecting an aircraft component for corrosion and cracks every 200hrly. These are random failures. I have inspected 50 aircraft for the past 1000hrs for each aircraft i.e. thats makes for 5 inspections done so far per aircraft. I have found zero defects thus far. I now want to extend the interval for the same inspection from 200hrly to 400hrly. I know that at the back of my head, that by doing so, i increase the probability of not detecting any cracks and corrosion, because i'm checking the component less often. BUT i also know that the data thus far tells me that the reliability of the component is good i.e. no cracks and corrosion so far. How can i use probability to say how much less likely am i able to detect cracks and corrosion, when i extend the interval?

    Thanks!

    Ethan Ng
    1. If this is a real problem (we are talking about inspecting real aircraft) then don't ask here but get paid for professional advice.

    2. One approach to this problem is to assume that failures are random in time with a mean time between failure of t_0 which we assume apriori is uniformly distributed between 1 and 100000 hours. Now we have a problem in Bayesian statistics to compute the posterior distribution of the mean time between failure given your data, and from that everything else we are interested in

    CB
    Last edited by CaptainBlack; July 8th 2010 at 09:04 PM. Reason: added extra zero to the upper limit for the prior
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2010
    Posts
    2
    Thanks for the advise!

    Ethan Ng
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by EthanNg View Post
    Thanks for the advise!

    Ethan Ng
    I detect attempted irony here so I will explain my first point above.

    If this is about inspecting real aircraft components then if we give advice and you act on it then we partially liable for any financial and other loss from you taking that advice. MHF cannot accept any such liability. Also you have a responsibility for due diligence which cannot be demonstrated by taking advice from poster on a free internet forum.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. determine the rate of change!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 16th 2010, 03:40 AM
  2. determine interval of convergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 13th 2009, 12:37 AM
  3. Probability of passing inspection
    Posted in the Statistics Forum
    Replies: 1
    Last Post: December 18th 2008, 01:12 PM
  4. Determine the Interval of Convergence
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 13th 2008, 02:01 PM
  5. Replies: 1
    Last Post: October 29th 2007, 11:09 PM

Search Tags


/mathhelpforum @mathhelpforum