Automated visual inspection, a crucial manufacturing step, has been replacing the more time-consuming and less accurate human inspection. This research explores automated visual inspection of surface defects in a light-emitting diode (LED) chip. Commonly found on chip surface are water-spot blemishes which impair the appearance and functionality of LEDs. Automated inspection of water-spot defec...

We consider a Hotelling game where a finite number of retailers choose a location, given that their potential consumers are distributed on a network. Retailers do not compete on price but only on location, therefore each consumer shops at the closest store. We show that when the number of retailers is large enough, the game admits a pure Nash equilibrium and we construct it. We then compare the...

We study the percentage of welfare losses (PWL) in models of horizontal and vertical differentiation. In the Hotelling model, we show that PWL depends on the underlying parameters in a non-monotonic way. We also show that PWL can be calculated from market data-locations and market size-except when the market is covered and exhibits maximal product differentiation. PWL can be very large-up to 37...

Multivariate control charts are used for monitoring multiple series simultaneously, for the purpose of detecting shifts in the mean vector in any direction. In the context of disease outbreak detection, interest is in detecting only an increase in the process means. Two practical approaches for deriving directional Hotelling charts are Follmann’s correction and Testik and Runger’s quadratic pro...