I am working on the following problem and was wondering if anyone can give me some insight.
There is a fixed route that a vehicle (V1) with a fixed capacity uses everyday to pickup orders from node 1, 2, and 3 and deliver at node 4. However occasionally the pickup demand on one of the pickup is so high that V1 cannot pickup those orders. For example, as shown in Figure 1, the pickup demand at node 1, 2, and 3 are 25%, 65%, 25% of the capacity of the vehicle. V1 can only pick up order from node 1, and node 2 as it filles up 90% of its capacity. So, it skips node 3, and directly go to node 4 to deliver the items it picked up from node 1 and 2. Another vehicle needs to be sent to node 3 to pick up and deliver at 4.
Is there any known way to model and solve it? If you worked on something similar or read any related paper, would you please share?