DFC
If you really want a lesson in slot allocation procedures I am quite happy to give it. Not very interesting, but since you asked:
Slots are allocated when a regulation is created on the basis of first come first served. So if X estimates entering the regulated area at 1000 and Y estimates at 1001, X gets the first available slot and Y gets the second. If the rate for the regulation is 10/60 then X will get 1000 and Y will get 1006.
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You ask: "If the system says that no aircraft can depart at say 1500 on a route to XYZ and consequently issues a slot time of 1600, please explain to me how moving the EOBT back will result eventually in a slot of 1500?.........."
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Up to EOBT -2 hours the slots are pre-allocated. No slot is sent, and the slots are changeable. If a new FPL arrives or if one is modified that estimates the regulated area before another flight, then it will be placed in the earlier slot and the later flight will move down the slot list. That's how a flight will move up a slot list in the manner you describe above.
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What's the problem?
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Well the problem is that the flight now shows a delay, which is not in fact a delay. We here at Flow are constantly sifting through slot lists to reduce delays as much as possible. That is what you want us to do. We could work for up to 30 minutes on the most complex solutions only to find we have completely wasted our time fixing a delay that was fictitious. That is 30 minutes that could have been spent helping somebody else. That's the problem!
There is no problem with the computing power of the system.
flowman