Consider a monthly series of air conditioner (AC) sales. In the discussion of Winters method, a monthly
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St = Seasonality for month t after observing month t demand
Lt = Estimate of level after observing month t demand
Tt = Estimate of trend after observing month t demand
Then the Winters’ method equations given in the text should be modified as follows:
Lt = α(I) + (1 - α)(Lt -1 + Tt - 1)
Tt = β(Lt – Lt - 1) + (1 - β)Tt - 1
St = γ(II) + (1 - γ)St -12
a. What should (I) and (II) be?
b. Suppose that month 13 is January, L12 = 30, T12 = -3, S1 = -50, and S2 = -20. Let α = γ = β = 0.5. Suppose 12 ACs are sold during month 13. At the end of month 13, what is the forecast for AC sales during month 14 using this additive model?
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Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
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