Ancient Logistics and ancient warfare

[Macedon]

What I mean by the Hellenistic doctrine of warfare, is that the general methodology used by Hellenistic/Greek generals was to place more men at the point of attack, inflicting more casualties and formations of large depth.

So, you are talking about pitched battle tactics... Not really, not THE "Hellenic doctrine of warfare". It was one tactic that was used in some cases (additional depth at the striking point). There were a number of ways to "strengthen" a part of your phalanx or/and use it as your main offensive effort.

I tried to bring this up earlier, what supply depots were used according to the primary sources, and what carrying capacity did they have?"

Well... I cannot say what the exact bases that he would have built were, Sardis surely being one, but as far s capacities were concerned, storehouses could be really huge... A large amount of Egypt's grain was stored in such, Mesopotamia's too. The technology was there, so was the manpower. A network of comlpexes of granaries throughout the Empire would have been constructed/utilized and linked with caravans that would keep the flow of grain towards the sea.