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Supply Chain Formulas

Decent Essays

Mid Term KEY FORMULAE

*** Ch 5 ***

Earliest start time for a project activity: ES = latest EF for all immediate predecessors

Earliest finish time for a project activity: EF = ES + activity’s duration

Latest finish time for a project activity: LF = earliest LS for all immediate successors

Latest start time for a project activity: LS = LF – activity’s duration

Slack time for a project activity: Slack time = LS – ES

*** Ch 7 ***

Takt time: Takt time = available production time Required output rate

Theoretical minimum number of workstations:

I∑i=1 Ti …show more content…

[pic] where [pic] = grand mean m = number of samples used to develop the [pic] [pic] = average for the jth sample

Average range value for samples of a continuous variable [pic] where m = number of samples used to develop the control charts Rj = range for the jth sample

Upper control limit for [pic] chart Upper control limit = UCLx = [pic] + A2 ([pic])

Lower control limit for [pic] chart Lower control limit = LCLx = [pic] - A2 ([pic])

Upper control limit for R chart Upper control limit = UCLR = D4([pic])

Lower control limit for R chart Lower control limit = LCLR = D3([pic])

Average sample proportion for an attribute [pic] where Pj = p value for the jth sample m = number of samples used to develop the control chart

Upper control limit for p chart Upper control limit = UCLp = [pic]+ 3(Sp)
Where Sp = standard deviation for attribute samples

Lower control limit for p chart Lower control limit = LCLp = [pic]- 3(Sp)
Where Sp = standard deviation for attribute samples

Standard deviation for attribute samples [pic] where n = size of each sample

Forecasting: Bozarth *** Ch 9 *** Use only for moving average and simple exponential methods

Last-period forecasting model Ft+1 = Dt
Where Ft+1 = forecast for the next period, t+1 Dt = demand for the current period, t

Moving average forecasting model [pic] where Ft+1 = forecast for time period t+1 Dt+1-i = actual

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