Process Window Index - Formula

Formula

The Process Window Index is calculated as the worst case (i.e. highest number) in the set of thermal profile data. For each profile statistic the percentage used of the respective process window is calculated, and the worst case (i.e. highest percentage) is the PWI.

For example, a thermal profile with three thermocouples, with four profile statistics logged for each thermocouple, would have a set of twelve statistics for that thermal profile. In this case, the PWI would be the highest value among the twelve percentages of the respective process windows.

The formula to calculate PWI is:


\text{PWI} = 100 \times \max_{i=1\dots N \atop j=1\dots M}
\left\{\left|
\frac{\text{measured value}_{} - \text{average limits}_{}} {\text{range}_{}/2}
\right|\right\}

where:

i = 1 to N (number of thermocouples)
j = 1 to M (number of statistics per thermocouple)
measured value = the th statistic's measured value
average limits = the average of the high and low (specified) limits of the th statistic
range = the high limit minus the low limit of the th statistic

Read more about this topic:  Process Window Index

Famous quotes containing the word formula:

    “In the most desirable conditions, the child learns to manage anxiety by being exposed to just the right amounts of it, not much more and not much less. This optimal amount of anxiety varies with the child’s age and temperament. It may also vary with cultural values.... There is no mathematical formula for calculating exact amounts of optimal anxiety. This is why child rearing is an art and not a science.”
    —Alicia F. Lieberman (20th century)

    “Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
    —Walter Pater (1839–1894)

    “For the myth is the foundation of life; it is the timeless schema, the pious formula into which life flows when it reproduces its traits out of the unconscious.”
    —Thomas Mann (1875–1955)