Optimizing Shewhart Charts in Parallel Production Lines
Abstract
I describe a methodology for optimising n Shewhart x-charts
operating on parallel production lines in a factory. The goal is to maximise the
factory-wide probability of detecting an out-of-control condition subject to a
constraint on the expected number of false signals. I use non-linear
programming to appropriately set the x-charts’ control limits incorporating
information about the probability of each production line going out-of-control.
Using this approach, factories can set their quality control systems to optimally
detect out-of-control conditions. Given some distributional assumptions, I also
present a one-dimensional optimisation methodology that allows for the
efficient optimisation of very large factories.
Description
International Journal of Quality Engineering and Technology, 1, 125-135.
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