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:
