| Test instance | Test instances definition | | Initialization range | Value to reach |
| | Minimize , | | | ā450 | where and , | where is the dimension and is the shifted global optimum. |
| | Minimize , | | | ā450 | where and , | where is the dimension and is the shifted global optimum. |
| | Minimize , | | | ā450 | where and , | where is the dimension, is the shifted global optimum. | is the orthogonal matrix. |
| | Minimize , | | | ā450 | where and , | where is the dimension and is the shifted global optimum. |
| | Minimize , | | | ā310 | where , , is the dimension, | matrix, are random numbers ā, | , is the th row of , , | is an vector, and are random numbers ā. |
| | Minimize , | | | 390 | where and , | where is the dimension and is the shifted global optimum. |
| | Minimize , | | | ā180 | where and , | where is the dimension and is the shifted global optimum. | is the linear transformation matrix, . |
| | Minimize, | | | ā140 | where , , | is the dimension, and is the shifted global optimum. | M is the linear transformation matrix. |
| | Minimize , | | | ā330 | where and , | where is the dimension and is the shifted global optimum. |
| | Minimize , | | | ā330 | where and , | where is the dimension and is the shifted global optimum. | M is the linear transformation matrix. |
| | Minimize , where | | | 90 | , , , , | is the dimension, is the shifted global optimum, | , and M is the linear transformation matrix. |
| | Minimize , where | | | ā460 | , | , , | , is the dimension, | , and are random integers ā. | M is the linear transformation matrix. |
| | Minimize , | | | ā130 | Griewankās function is as follows: . | Rosenbrockās function is as follows: , , . | is the dimension. is the the shifted global optimum. |
| | Minimize . | | | ā300 | is the expansion of , | , , and is the dimension. | is the shifted global optimum. | is the linear transformation matrix. |
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