In: Operations Management
What is the MSE, MAPE, and CFE using additive seasonal forecasting?
hipments | Fasteners | Forecasted trend of fasteners |
17-Jan | 335798 | 335798 |
17-Feb | 297853 | 297853 |
17-Mar | 318399 | 319454.75 |
17-Apr | 311730 | 322836.875 |
17-May | 363876 | 320098.5 |
17-Jun | 296832 | 318664.5 |
17-Jul | 297513 | 314066.375 |
17-Aug | 321144 | 311873.375 |
17-Sep | 317677 | 312383.25 |
17-Oct | 325487 | 303703.5 |
17-Nov | 272937 | 300316 |
17-Dec | 276282 | 300664.625 |
18-Jan | 335439 | 315645.125 |
18-Feb | 310514 | 342483.125 |
18-Mar | 407754 | 353704.375 |
18-Apr | 356169 | 357625.125 |
18-May | 345322 | 352223.625 |
18-Jun | 331997 | 343400.25 |
18-Jul | 343059 | 332649.125 |
18-Aug | 350277 | 329801.375 |
18-Sep | 265205 | 332895.125 |
18-Oct | 389332 | 323591 |
18-Nov | 310474 | 323797.8125 |
18-Dec | 308429 | |
Answer:
Formulas used is as under:
Shipments |
Fasteners |
Forecasted trend of fasteners |
|||||
Demand |
Forecast |
Error |
Running Sales Forecast Error (RSFE) or CFE (Cumulative Forecast Error) |
Absolute Error |
Errors2 |
Absolute |
|
At |
Ft |
et = At-Ft |
CFE (Sum of all Error) |
|et| |
|et|2 |
|At-Ft|/At |
At is Demand
Ft is Forecast
et = At-Ft is Error or Bias
|et| is Absolute Error
|et|2 is Square of Absolute Error
MSE = Average of |et|2
MAPE = Average of |At-Ft|/At
CFE = Cumulative Forecast Error = RSFE Running Sales Forecast Error = Sum of all Error
Data of 18-Dec is not considered in calculation as only the value of “Fastners” is mentioned and not its “Forecasted trend of fasteners”
Based in the formulas, following is the calculation: