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stk_testfun_borehole


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 STK_TESTFUN_BOREHOLE computes the "borehole model" response function

 CALL: Y = stk_testfun_borehole (X)

    computes the responses Y(i, :) of the "borehole model" [1-3] for the
    input vectors X(i, :).

    The output Y is the water flow rate through the borehole (m3/yr).

    The input variables (columns of X) are:

       X(:, 1) = rw   radius of borehole (m),
       X(:, 2) = r    radius of influence (m),
       X(:, 3) = Tu   transmissivity of upper aquifer (m2/yr),
       X(:, 4) = Hu   potentiometric head of upper aquifer (m),
       X(:, 5) = Tl   transmissivity of lower aquifer (m2/yr),
       X(:, 6) = Hl   potentiometric head of lower aquifer (m),
       X(:, 7) = L    length of borehole (m),
       X(:, 8) = Kw   hydraulic conductivity of borehole (m/yr),

    and their usual domain of variation is:

       input_domain = stk_hrect ([                                  ...
           0.05    100   63070    990   63.1    700  1120   9855;   ...
           0.15  50000  115600   1110  116.0    820  1680  12045],  ...
          {'rw',  'r',    'Tu',  'Hu',  'Tl',  'Hl',  'L',  'Kw'})

 REFERENCES

  [1] Harper, W. V. & Gupta, S. K. (1983).  Sensitivity/uncertainty analysis
      of a borehole scenario comparing Latin Hypercube Sampling and determinis-
      tic sensitivity approaches.  Technical report BMI/ONWI-516,  Battelle
      Memorial Inst., Office of Nuclear Waste Isolation, Columbus, OH (USA).

  [2] Morris, M. D., Mitchell, T. J. & Ylvisaker, D. (1993).  Bayesian design
      and analysis of computer experiments: use of derivatives in surface
      prediction.  Technometrics, 35(3):243-255.

  [3] Surjanovic, S. & Bingham, D.  Virtual Library of Simulation Experiments:
      Test Functions and Datasets.  Retrieved February 1, 2016, from
      http://www.sfu.ca/~ssurjano/borehole.html. 



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 STK_TESTFUN_BOREHOLE computes the "borehole model" response function



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stk_testfun_braninhoo


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 STK_TESTFUN_BRANINHOO computes the Branin-Hoo function.

    The Branin-Hoo function (Branin and Hoo, 1972) is a classical test
    function for global optimization algorithms, which belongs to the
    well-known Dixon-Szego test set (Dixon and Szego, 1978). It is usually
    minimized over [-5; 10] x [0; 15].

 REFERENCES

  [1] Branin, F. H. and Hoo, S. K. (1972), A Method for Finding Multiple
      Extrema of a Function of n Variables, in Numerical methods of
      Nonlinear Optimization (F. A. Lootsma, editor, Academic Press,
      London), 231-237.

  [2] Dixon L.C.W., Szego G.P., Towards Global Optimization 2, North-
      Holland, Amsterdam, The Netherlands (1978)



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 STK_TESTFUN_BRANINHOO computes the Branin-Hoo function.



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stk_testfun_goldsteinprice


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 STK_TESTFUN_GOLDSTEINPRICE computes the Goldstein-Price function

    The Goldstein-Price function [1] is a classical test function for
    global optimization algorithms, which belongs to the well-known
    Dixon-Szego test set [2].

    It is usually minimized over [-2; 2] x [-2; 2]. It has a unique
    global minimum at x = [0, -1] with f(x) = 3, and several local minima.

 REFERENCES

  [1] Goldstein, A.A. and Price, I.F. (1971), On descent from local
      minima. Mathematics of Computation, 25(115).

  [2] Dixon L.C.W., Szego G.P. (1978), Towards Global Optimization 2,
      North-Holland, Amsterdam, The Netherlands



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 STK_TESTFUN_GOLDSTEINPRICE computes the Goldstein-Price function



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stk_testfun_twobumps


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 STK_TESTFUN_TWOBUMPS computes the TwoBumps response function

 CALL: Z = stk_testfun_twobumps (X)

    computes the response Z of the TwoBumps function at X.

    The TwoBumps function is defined as:

       TwoBumps(x) = - (0.7x + sin(5x + 1) + 0.1 sin(10x))

    for x in [-1.0; 1.0].



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 STK_TESTFUN_TWOBUMPS computes the TwoBumps response function





