Table 1 Uni-model test functions
From: Wireless edge device intelligent task offloading in mobile edge computing using hyper-heuristics
S. No | Function | Dim | Range | fmin |
|---|---|---|---|---|
1 | \(f_{1} \left( x \right) = \sum\limits_{a - 1}^{n} {x_{1}^{2} }\) | 30 | [− 100,100] | 0 |
2 | \(F_{2} (x) = \sum\limits_{i = 1}^{n} {\left| {x_{i} } \right|} + \prod\limits_{i = 1}^{n} {\left| {x_{i} } \right|}\) | 30 | [− 10,10] | 0 |
3 | \(F(x) = \sum\limits_{i = 1}^{n} {\left( {\sum\limits_{j = 1}^{i} {x_{i}^{2} } } \right)}^{2}\) | 30 | [− 100,100] | 0 |
4 | \(F_{4} (x) = \mathop {\max }\limits_{i} \left\{ {\left| {x_{i} } \right|,1 \le i \le n} \right\}\) | 30 | [− 100,100] | 0 |
5 | \(F_{5} (x) = \sum\limits_{i = 1}^{n} {\left[ {100\left( {x_{i + 1} - x_{i}^{2} } \right)^{2} + \left( {x_{i} - 1} \right)^{2} } \right]}\) | 30 | [− 30,30] | 0 |
6 | \(F_{6} \left( x \right) = \sum\limits_{i = 1}^{n} {\left( {x_{i} + 0.5} \right)^{2} }\) | 30 | [− 100,100] | 0 |
7 | \(F_{7} (x) = \sum\limits_{i = 1}^{n} {ix_{i}^{4} + random[0,1)}\) | 30 | [− 1.28,1.28] | 0 |