Research Article

Selection and Penalty Strategies for Genetic Algorithms Designed to Solve Spatial Forest Planning Problems

Table 3

Best solutions for landscapes A, B, and C. We present the best solution in terms of percent of trivial upper bound (TUB), for each selection/penalty combination. The secondary column heading represents the maximum number of generations. PROP: Proportional selection; BIN DT: Binary, deterministic tournament; 7 DT: A deterministic tournament with 7 competitors; U(2, 10) DT: A deterministic tournament with the number of competitors sampled from a uniform distribution on the range (2, 10); 2–7 DT: A deterministic tournament where the number of competitors increases from 2 to 7 throughout the course of the search.

PenaltySelectionLandscape ALandscape BLandscape C
750 1500 1500 3000 1500 6000

Static PROP 88.0492.3978.6687.6468.9086.74
BIN DT 87.7291.8382.5288.0372.9783.86
7 DT 86.9493.0684.2489.8573.4384.10
U(2, 10) DT 87.5193.0783.6689.3673.7083.82
2–7 DT 87.6792.3583.0388.7172.6483.94

Dynamic PROP 89.7094.8279.8490.4270.1189.65
BIN DT 85.4491.8982.5189.6671.9785.92
7 DT 87.7792.7385.0390.9172.6984.56
U(2, 10) DT 87.9091.8084.1090.2772.7584.33
2–7 DT 87.0391.8585.3590.5074.0084.34