Methods and apparatus provide a delay in posting a confirmation of a warehouse activity in a warehouse having decentralized management. The mapping table may comprise Alamouti-coded primary segments and may also comprise secondary segments, comprising primary segments. The drive assembly is configured to both reciprocate the blade in the sagittal plane and to simultaneously pivot the blade around an axis that extends through the sagittal plane. In terms of amplitude associated therewith, a portion of each of the first image and third image are subtracted from the entirety of the second image to generate a resulting image. The method may further comprise selecting a desired scanning mode from the one or more potential scanning modes based on an evaluation of performance metric caused by the ion beam angle distribution. Flow resistance is reduced when an impure gas is exhausted and when the discharge gas is injected into the panel, and the product yield and quality of the display are improved, and light emission efficiency is improved and degradation of the phosphor material is avoided.