This solution is for finding the peak (or you can call it maximum usage at one moment) of items depending on date ranges (which can be for example reservations).
Usage is as I mentioned for instance in the reservations system. Example case: You have a reservation system with items and multiple warehouses, in the first location, you have 25 items and you want to move part of them to another location, however, there are multiple upcoming reservations in the first location, so you just need to check, if in the first location will be enough items for that reservation after you transport a certain amount of items (which will lower the amount in the first location). The first solution that comes to mind is to sum all amounts of upcoming reservations, but that will only work if all reservations overlap each other, otherwise, the sum can be even higher than the total sum of all items. Using this solution you will find max usage at one moment.
Princip is very simple, every peak is at the start of some reservation, s