I get the image, and the methodology needed....... but what I don't understand is why you would need to introduce this complexity for the customer to understand...... despite those that do understand and those that see no need to understand, there will be many customers with anxiety, eagerness and curiosity etc around when they are to board. I think if the numbering just mimicked the order of boarding, it would be much easier for the customer (i.e 3 is boarding now, I am 4, so I am next, it is time to put my book in my bag and get ready to line up). The system in the background should be able to manage the same outcome, with respect to the plane filling order.