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Chapter 2: Forecasting ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Seasonal Demand Series Fig. 2-8
Seasonal Series with Increasing Trend Fig. 2-10
Winter’s Method ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
Forecast made in period  t  for any future period  t +  τ
Initialization Procedure ,[object Object],[object Object],[object Object],[object Object]
Initialization for Winters’s Method Fig. 2-11
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
22/ [21.75 -(5/2-4)(.875) ] =.9539 30/ [21.75 -(5/2-3)(.875) ] =1.352 23/ [21.75 -(5/2-2)(.875) ] =1.079 12/ [21.75 -(5/2-1)(.875) ] =.5872 17/ [ 18.25-(5/2-4)(.875) ] =.869 26/ [ 18.25-(5/2-3)(.875) ] =1.391 20/ [ 18.25-(5/2-2)(.875) ] =1.123 10/ [ 18.25-(5/2-1)(.875) ] =.5904 c 0 c -1 c -2 c -3 c -4 c -5 c -6 c -7 So=21.75+(.875)(1.5) =23.06 Go=(21.75-18.25)/4 =.875 .9115 22 8 1.3720 30 7   1.1010 23 6   (.5904+.5872)/2 =.5888 21.75 12 5 17 4 26 3 20 2 18.25 10 1 V i D t Period

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Winters Method

  • 1.
  • 2. A Seasonal Demand Series Fig. 2-8
  • 3. Seasonal Series with Increasing Trend Fig. 2-10
  • 4.
  • 5.
  • 6.
  • 7. Forecast made in period t for any future period t + τ
  • 8.
  • 10.
  • 11. 22/ [21.75 -(5/2-4)(.875) ] =.9539 30/ [21.75 -(5/2-3)(.875) ] =1.352 23/ [21.75 -(5/2-2)(.875) ] =1.079 12/ [21.75 -(5/2-1)(.875) ] =.5872 17/ [ 18.25-(5/2-4)(.875) ] =.869 26/ [ 18.25-(5/2-3)(.875) ] =1.391 20/ [ 18.25-(5/2-2)(.875) ] =1.123 10/ [ 18.25-(5/2-1)(.875) ] =.5904 c 0 c -1 c -2 c -3 c -4 c -5 c -6 c -7 So=21.75+(.875)(1.5) =23.06 Go=(21.75-18.25)/4 =.875 .9115 22 8 1.3720 30 7 1.1010 23 6 (.5904+.5872)/2 =.5888 21.75 12 5 17 4 26 3 20 2 18.25 10 1 V i D t Period