Thank for your timely answer selectshop.at
I have configured prestashop as you told.
But, in some cases, customers put product in shopping cart when they are available (e.g. today morning) and proceed to check-out long after (e.g. today evening or tomorrow or after..), so products (one or more) in cart are no longer available.
Currently prestashop allows customer to check out and let him think that product is available.
My need is to alert customer that product are no longer available and deny check out.