Extension of the visual search models of inspection

Human performance in a visual search task is generally measured by a cumulative probability distribution of locating a target in a given time period. In this paper, this cumulative probability function has been derived for two systematic search strategies, non-overlapping and overlapping; with both infinitesimal and finite defect length. Moreover, for the infinitesimal defect size case, economic models are derived under the assumption that the number of defects on the search line follows a one-dimensional Spatial Poisson distribution to determine the best inspection stopping time. This research first extends the typical infinitesimal defect size assumption to a finite defect length assumption. Then, it extends the single infinitesimal defect case to the case of random number of infinitesimal defects and develops economic models for two extreme systematic search strategies.