Summary of the literature on adjustable parameter optimization for NGBM(1,1) model
| Author (year) | Model | Contributions | Method |
|---|---|---|---|
| Chen et al. (2008) | NGBM(1,1) | Power exponent | A simple computer program |
| Chen (2008) | NGBM(1,1) | Power exponent | A simple computer program |
| Zhou et al. (2009) | Optimal p NGBM(1,1) | Power exponent, Background value | Particle swarm optimization algorithm |
| Chen et al. (2010) | NNGBM(1,1) | Power exponent, Background value | Nash equilibrium theory and simple computer iterative program |
| Hsu (2010) | GANGBM(1,1) | Power exponent | Genetic algorithm |
| Wang et al. (2011) | ONGBM(1,1) | Power exponent, Background value | LINGO |
| Pao et al. (2012) | NGBM-OP | Power exponent | Numerical iterative method |
| Wang (2013) | Optimized Nash NGBM(1,1) | Power exponent, Background value, Initial condition | LINGO |
| Zhang et al. (2014) | PSO–NNGBM(1,1) | Power exponent, Background value | Particle swarm optimization algorithm |
| An et al. (2015) | – | Power exponent, Background value, Initial condition | Particle swarm optimization algorithm |
| Hsin and Chen (2015) | Two-stage NNGBM | Power exponent, Background value | Nash equilibrium theory and Minmax principle |
| Li et al. (2016) | – | Power exponent, Background value | Particle swarm optimization algorithm |
| Lu et al. (2016) | ONGBM(1,1) | Power exponent, Background value, Initial condition | Optimization approach |
| Chen et al. (2017) | Adaptive NGBM(1,1) | Power exponent, Background value, Initial condition | Genetic algorithm |
| Guo et al. (2019) | SA-NGBM | Power exponent, Background value | LINGO |
| Wu et al. (2019) | FANGBM(1,1) | Power exponent, Accumulated generation operator | Particle swarm optimization algorithm |
| Liu and Xie (2019) | WBGM(1,1) | Power exponent | Genetic algorithm |
| Xiao et al. (2020) | BC-NGBM* | Power exponent | Quantum adiabatic evolution |
| Zheng et al. (2021a, b) | Unbiased NGBM(1,1) | Power exponent | Particle swarm optimization algorithm |
| Wu et al. (2022) | FDNGBM(1,1) | Power exponent, Accumulated generation operator | Whale optimization algorithm |
| Wu et al. (2024) | CFNGBMO(1,1) | Power exponent, Accumulated generation operator | Whale optimization algorithm |
| Xu et al. (2025) | Power exponent, Accumulated generation operator, grey action quantity | Particle swarm optimization algorithm |
| Author (year) | Model | Contributions | Method |
|---|---|---|---|
| NGBM(1,1) | Power exponent | A simple computer program | |
| NGBM(1,1) | Power exponent | A simple computer program | |
| Optimal p NGBM(1,1) | Power exponent, Background value | Particle swarm optimization algorithm | |
| NNGBM(1,1) | Power exponent, Background value | Nash equilibrium theory and simple computer iterative program | |
| GANGBM(1,1) | Power exponent | Genetic algorithm | |
| ONGBM(1,1) | Power exponent, Background value | LINGO | |
| NGBM-OP | Power exponent | Numerical iterative method | |
| Optimized Nash NGBM(1,1) | Power exponent, Background value, Initial condition | LINGO | |
| PSO–NNGBM(1,1) | Power exponent, Background value | Particle swarm optimization algorithm | |
| – | Power exponent, Background value, Initial condition | Particle swarm optimization algorithm | |
| Two-stage NNGBM | Power exponent, Background value | Nash equilibrium theory and Minmax principle | |
| – | Power exponent, Background value | Particle swarm optimization algorithm | |
| ONGBM(1,1) | Power exponent, Background value, Initial condition | Optimization approach | |
| Adaptive NGBM(1,1) | Power exponent, Background value, Initial condition | Genetic algorithm | |
| SA-NGBM | Power exponent, Background value | LINGO | |
| FANGBM(1,1) | Power exponent, Accumulated generation operator | Particle swarm optimization algorithm | |
| WBGM(1,1) | Power exponent | Genetic algorithm | |
| BC-NGBM* | Power exponent | Quantum adiabatic evolution | |
| Unbiased NGBM(1,1) | Power exponent | Particle swarm optimization algorithm | |
| FDNGBM(1,1) | Power exponent, Accumulated generation operator | Whale optimization algorithm | |
| CFNGBMO(1,1) | Power exponent, Accumulated generation operator | Whale optimization algorithm | |
| Power exponent, Accumulated generation operator, grey action quantity | Particle swarm optimization algorithm |
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