Scientific Programming

Research Article

Ranking Methods for Multicriteria Decision-Making: Application to Benchmarking of Solvers and Problems

Table 1

Test functions.
 Short description
F1Shifted sphere function
F2Shifted Schwefel’s problem 1.2
F3Shifted rotated high conditioned elliptic function
F4Shifted Schwefel’s problem 1.2 (with noise in fitness function)
F5Schwefel’s problem 2.6 with the global optimum on the bounds
F6Shifted Rosenbrock’s function
F7Shifted rotated Griewank’s function
F8Shifted rotated Ackley’s function (with the global optimum on the bounds)
F9Shifted Rastrigin’s function
F10Shifted rotated Rastrigin’s function
F11Shifted rotated Weierstrass function
F12Schwefel’s problem 2.13
F13Expanded extended Griewank’s plus Rosenbrock’s function
F14Shifted rotated expanded Schaffer’s F6
F15Hybrid composition function
F16Rotated hybrid composition function
F17Rotated hybrid composition function (with noise in fitness function)
F18Rotated hybrid composition function
F19Rotated hybrid composition functions (with the global optimum on the bounds)
F20Rotated hybrid composition function (with a narrow basin for the global optimum)
F21Rotated hybrid composition function
F22Rotated hybrid composition function (with a high condition number matrix)
F23Noncontinuous rotated hybrid composition function
F24Rotated hybrid composition function
F25Rotated hybrid composition function
Note: F1, …, F25 are the test functions. Source: Sala et al. [12].