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Thread: Minimizing Function

  1. #1

    Minimizing Function

    Hi All,

    I hope someone can help me with the following function (follow the link): https://we.tl/c3IY2goPE0

    I'm trying to minimize a function, existing of some different parameters. All parameters are known(exept for R) and variable and the goal is to find the variable R that minimizes the result.
    The function exists out of the sum of 4 parts.
    The things I've already learned about the function is

    1. that only the following variables influence the result:

    M, Q, C, P, H, D.

    2. Minimizing the first, second and last part is done by the formula: (M*D)/((M*D)+(H*Q)). So taking into account the third part is too hard for me.

    3. The result has to be the CDF of the normal distribution ( a number between 0 and lower than 1). With this number and the known standard deviation and mean, I can find the optimal R.
    The italic normal distribution sign is the PMf and the non italic normal distribution sign is the CDF.

    4. A number example is the following:

    M : 10
    H: 7
    D: 1250
    Q : 200
    L: 150
    S: 65
    P: 0.75
    C: 75
    K: 5


    R optimal is here R = 243 and the related z-value is 1.43 from which the CDF is 92,98%.
    The formula has thus give the solution 0.9298 with given variables.

    Thanks in advance,


    Steven

  2. #2
    Quote Originally Posted by Polly1988 View Post
    Hi All,

    I hope someone can help me with the following function (follow the link): https://we.tl/c3IY2goPE0

    I'm trying to minimize a function, existing of some different parameters. All parameters are known(exept for R) and variable and the goal is to find the variable R that minimizes the result.
    The function exists out of the sum of 4 parts.
    The things I've already learned about the function is

    1. that only the following variables influence the result:

    M, Q, C, P, H, D.

    2. Minimizing the first, second and last part is done by the formula: (M*D)/((M*D)+(H*Q)). So taking into account the third part is too hard for me.

    3. The result has to be the CDF of the normal distribution ( a number between 0 and lower than 1). With this number and the known standard deviation and mean, I can find the optimal R.
    The italic normal distribution sign is the PMf and the non italic normal distribution sign is the CDF.

    4. A number example is the following:

    M : 10
    H: 7
    D: 1250
    Q : 200
    L: 150
    S: 65
    P: 0.75
    C: 75
    K: 5


    R optimal is here R = 243 and the related z-value is 1.43 from which the CDF is 92,98%.
    The formula has thus give the solution 0.9298 with given variables.

    Thanks in advance,


    Steven

    Adapted function: https://we.tl/WGRRepVf3R

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