Some additional thoughts on when to perform cross docking: Depending on the length of the order lifecycle of your business, choosing when to cross dock is an important factor to consider when adopting cross docking. We all know of course that cross docking reduces working capital, reduces labor for putting away inventory etc.
Future Supplies that demands are tagged against need to be monitored for changes to shipment schedules, damages on the way and other reasons, it is a good idea to perform one last round of checking that the crossdocked ASN, PO is indeed on-time just before waving the orders down to the execution system. In a networked fulfillment environment, this may improve fill rates as substitute material or cross docking opportunities may exist in other DC's if there is a problem in supplies arriving.
