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An Algorithm and a Graphical Approach for Short Run Processes

in-control timc O = out-of-control timc

1-1-1

setup    S    R

-1-h-

T

Figurę 1. Definition of Some Time Yariables Used in the Proposed Model.

hołd if the time between ąuality shifts is exponentially distributed with mean

\jX:

E[min(S, T)] = -(l - exp(-XT}) X

P{0<T} = \-exp(-\iT)

E[min(0,7¹)] = —(l - exp(-\x.T)} M’

where (X)⁺ = min(0,X),

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