fundamentals of engineering supplied-reference handbook - Ventech!

PERT
(aij, bij, cij) = (optimistic, most likely, pessimistic)
durations for activity (i, j),
µij = mean duration of activity (i, j),
σij = standard deviation of the duration of activity (i, j),
µ = project mean duration, and
σ = standard deviation of project duration.
( )
∑ σ
( ) = σ
aij
+ 4bij
+ cij
µ ij =
6
cij
− aij
σij
=
6
µ = ∑ µ ij
i,
j ∈CP
2
2
ij
i,
j ∈CP
Source of Variation
Degrees of
Freedom
196
TAYLOR TOOL LIFE FORMULA
VT n = C, where
V = speed in surface feet per minute,
INDUSTRIAL ENGINEERING (continued)
T = time before the tool reaches a certain percentage of
possible wear, and
C, n = constants that depend on the material and on the
tool.
WORK SAMPLING FORMULAS
( 1−
p)
p
D = Zα
2
and R = Zα
n
p = proportion of observed time in an activity,
D = absolute error,
R = relative error (R = D/p), and
n = sample size.
ONE-WAY ANOVA TABLE
Sum of
Squares
Between Treatments k – 1 SSTreatments
Error N – k SSError
Total N – 1 SSTotal
Source of Variation
Degrees of
Freedom
TWO-WAY ANOVA TABLE
Sum of
Squares
Between Treatments k – 1 SSTreatments
Between Blocks n – 1 SSBlocks
Error (k–1)(n–1) SSError
Total N – 1 SSTotal
Mean Square F
SS
MST =
k −1
Treatments
SS Error
MSE =
N − k
MST
MSE
Mean Square F
SS
MST =
k −1
Treatments
SS
MSB =
n −1
Blocks
SSError
MSE =
(k −1)(n
−1
)
MST
MSE
MSB
MSE
2
1−
p
, where
pn