Research Article

Combining Diffusion and Grey Models Based on Evolutionary Optimization Algorithms to Forecast Motherboard Shipments

Table 4

MAPE results for all models.

Actual value (1998–2009) Bass diffusion model with GA RGM(1,1) Combined model with GA Combined model with PSO Combined model with hybrid
Forecast valueAPEForecast valueAPEForecast valueAPEForecast valueAPEForecast valueAPE

5437153341.41.89%54371.00.00%54371.00.00%54371.00.00%54371.00.00%
64378 63672.51.10% 70118.28.92% 70118.28.92% 70118.28.92% 70118.28.92%
84372 74572.811.61% 78981.56.39% 78981.56.39% 78981.56.39% 78981.56.39%
80565 85418.46.02% 80332.10.29% 80332.10.29% 80332.10.29% 80332.10.29%
86554 95384.710.20% 90733.64.83% 90733.64.83% 90733.64.83% 90733.64.83%
103509 103536.00.03% 104846.91.29% 104025.00.50% 103455.90.05% 103508.90.00%
107987 108981.60.92% 110227.02.07% 109968.11.83% 110500.62.33% 110509.92.34%
113354 111064.02.02% 115310.71.73% 112262.60.96% 113381.90.02% 113353.80.00%
111117 109518.51.44% 114251.32.82% 110594.30.47% 111646.90.48% 111594.80.43%
109097 104542.24.18% 104393.64.31% 105192.53.58% 105570.43.23% 105510.73.29%
96743 96742.40.00% 95386.51.40% 96766.30.02% 96066.00.70% 96013.40.75%
84374 86987.23.10% 87156.63.30% 86316.82.30% 84412.10.05% 84376.40.00%

MAPE (1998–2009)3.692%3.395%2.736%2.480%2.476%
Actual value (2010)
6868776216.510.96%79636.715.94%74907.09.06%71922.04.71%71906.94.69%

APE: absolute percentage error.