Moon et al. (2012) Function
Description:
Dimensions: 31This complex 31-dimensional function is created from a summation of scaled outputs from four other functions. For the purpose of input variable screening, 29 input variables are added, making it a 60-dimensional function.
The y-values y1, y2, y3 and y4 are outputs from from the Borehole, Wing Weight, OTL Ciruit and Piston Simulation functions, respectively.
Input Domain:
The input variables and their usual input ranges are:Borehole Function:
| x1 ∈ [0.05, 0.15] | radius of borehole (m) |
| x2 ∈ [100, 50000] | radius of influence (m) |
| x3 ∈ [63070, 115600] | transmissivity of upper aquifer (m2/yr) |
| x4 ∈ [990, 1110] | potentiometric head of upper aquifer (m) |
| x5 ∈ [63.1, 116] | transmissivity of lower aquifer (m2/yr) |
| x6 ∈ [700, 820] | potentiometric head of lower aquifer (m) |
| x7 ∈ [1120, 1680] | length of borehole (m) |
| x8 ∈ [9855, 12045] | hydraulic conductivity of borehole (m/yr) |
Wing Weight Function:
| x9 ∈ [150, 200] | wing area (ft2) |
| x10 ∈ [220, 300] | weight of fuel in the wing (lb) |
| x11 ∈ [6, 10] | aspect ratio |
| x12 ∈ [-10, 10] | quarter-chord sweep (degrees) |
| x13 ∈ [16, 45] | dynamic pressure a cruise (lb/ft2) |
| x14 ∈ [0.5, 1] | taper ratio |
| x15 ∈ [0.08, 0.18] | aerofoil thickness to chord ratio |
| x16 ∈ [2.5, 6] | ultimate load factor |
| x17 ∈ [1700, 2500] | flight design gross weight (lb) |
| x18 ∈ [0.025, 0.08] | paint weight (lb/ft2) |
OTL Circuit Function:
| x19 ∈ [50, 150] | resistance b1 (K-Ohms) |
| x20 ∈ [25, 70] | resistance b2 (K-Ohms) |
| x21 ∈ [0.5, 3] | resistance f (K-Ohms) |
| x22 ∈ [1.2, 2.5] | resistance c1 (K-Ohms) |
| x23 ∈ [0.25, 1.2] | resistance c2 (K-Ohms) |
| x24 ∈ [50, 300] | current gain (Amperes) |
Piston Simulation Function:
| x25 ∈ [30, 60] | piston weight (kg) |
| x26 ∈ [0.005, 0.020] | piston surface area (m2) |
| x27 ∈ [0.002, 0.010] | initial gas volume (m3) |
| x28 ∈ [1000, 5000] | spring coefficient (N/m) |
| x29 ∈ [90000, 110000] | atmospheric pressure (N/m2) |
| x30 ∈ [290, 296] | ambient temperature (K) |
| x31 ∈ [340, 360] | filling gas temperature (K) |
Code:
References:
Moon, H., Dean, A. M., & Santner, T. J. (2012). Two-stage sensitivity-based group screening in computer experiments. Technometrics, 54(4), 376-387.
Additional reference information can be found at the links of the corresponding functions.
For questions or comments, please email Derek Bingham at: dbingham@stat.sfu.ca.
LastUpdated
Copy