On the Detection of Disorder in a Manufacturing Process. I.

This paper deals with the application of Wald’s sequential analysis to the problem of locating the target (the disorder) that may appear with equal probability along any one of N directions on the background of steady-state conditions of observation, in which the target is absent. An expression (3) is found for the mean delay time τ ( T;N) for locating the target, which depends on the number of directions N and the mean period T between two successive false alarms.