Calculations for the gap distribution (short-term statistics) for Allocate Gap Pools

μGap,ST

Short-term gap mean after allocation

σGap,ST

Short-term gap standard deviation after allocation

Z.LSL(ST)

If only lower specification in the assembly gap is given
Z.LSL(ST) = (T – LSL) / σGap,ST
If only upper specification in the assembly gap is given
Z.LSL(ST) = '*'
If neither lower nor upper specification in the assembly gap
Z.LSL(ST) = T / σGap,ST

Z.USL(ST)

If only upper specification in the assembly gap is given
Z.USL(ST) = (USL – T) / σGap,ST
Otherwise
Z.USL(ST) = '*'

Z.BenchGap,ST

If neither lower nor upper specification in the assembly gap
Z.BenchGap,ST = Φ−1(Φ(Z.USL(ST)) – Φ(–Z.LSL(ST)))
If only upper specification in the assembly gap is given
Z.BenchGap,ST = Z.USL(ST)
Otherwise
Z.BenchGap,ST = Z.LSL(ST)
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