Unloading Tank and Optimally Schedule Ships to Load

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Hi,
I have a problem where a tank is being loaded by continuous production and ships of fixed volumes are used to unload the tank, How can I develop an optimizer for this problem to ensure tanks don't overflow and ships are least delayed. I expect this to a simple MILP but I don't see any exaples for this online. I am sure its a common industry problem. Can someone please guide me with ideas and approach?
I have a plant producing at a rate of 100 tons/hr
Also, I have 4 ships,
Capacity Days
ship1 3600 2
ship2 2700 3
ship3 3100 4
ship4 2500 4
With capacity as 3600,2700,3100 and 2500 tons .
They take 2,3,4 and 4 days respectively to come back to pickup again.
How do I develop a optimized schedule for the same.
TIA!

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