Truck to Door Assignment Problem with Temporary Storage under Consideration

In the cross-dock setup, the inventory from the inbound truck is transferred directly to the outbound truck, but in real time it is not possible to synchronize the arrival and departure time of all the vehicles/trucks according to their respective inventory. This research work focuses on the addition of warehouse storage cost implied to each truck that is coming in late. In this paper, the additional storage cost is incorporated to the operational cost incurred by the cross-dock facility. The undertaken scenario is the truck which is arriving later than the due time and the inventory needs to be placed in the temporary storage space inside the cross-dock facility, this is done in addition to the dock to door assignment problem. Therefore, it is proposed that before the assignment of truck to the dock, the storage cost incurred on the inventory should be considered on priority. This cost should be considered before the outbound dock is allocated to the respective outbound truck for the optimized results. An exact approach is used to address this problem.