NKK,
Depending on your definition of "levelled", this is not possible for a suspended slab.
You need to get the Mobile Shelf supplier to give you more realistic limitations, or tell him it is not possible. Precamber cannot help you and neither can prestress. You cannot avoid live load, shrinkage, creep and temperature deflection, after the slab is poured and stripped, no matter what suspended structural system you use.
You only solution is a slab on ground and you will have to support it on rock, not soil of any sort. Then you might have a chance of complying.
The concretors cannot even finish the slab surface to comply with this, forgetting about deflections.