Algorithmic parameters

The algorithmic parameters of the SCE algorithm, their feasible range and recommended values are shown in Table 1.2.

Table 1.2             Algorithmic parameters for the SCE algorithm (n = No. of optimisation parameters), their range and recommended values

Parameter

Description

Range

Recommended value

p

No. of complexes

AutoCal_Dialogs00061.jpg 

-

m

No. of points in a complex

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2n + 1

q

No. of points in a sub-complex

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n + 1

b

No. of evolution steps taken by each complex before shuffling

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2n + 1

If one complex is chosen in SCE and the number of points in the complex as well as the sub-complex are set equal to n + 1, the local search simplex method is obtained as a special case.

No. of complexes

Number of complexes p applied in the SCE algorithm. This is the most impor­tant parameter of the SCE algorithm. Sensitivity tests show that the dimen­sionality of the optimisation problem (No. of calibration parameters) is the primary factor determining the proper choice of p. In general, the larger value of p is chosen the higher the probability of converging into the global optimum but at the expense of a larger number of model simulations (the number of model simulations is virtually proportional to p), and vice versa. One should choose p to balance the trade-off between the robustness of the algorithm and the computing time.

No. of points in complex

Number of points in a complex. A recommended value for this parameter is 2n + 1 where n is the number of optimisation parameters.

No. of points in sub-complex

Number of points in a sub-complex. A recommended value for this parameter is n + 1 where n is the number of optimisation parameters.

No. of evaluation steps by each complex

Number of evaluation steps taken by each complex before complex shuffling. A recommended value for this parameter is 2n + 1 where n is the number of optimisation parameters.

Apply default parameters

If the Apply default parameters option is selected, the default algorithmic parameters in Table 1.2 are used.