This is the app page of ODMO program for minimizing the number of trucks for package transportation.

Considering a logistic company, it has a warehouse which contains containers, packages in each container. We assume that this company will transport all packages in warehouse to 3 areas (\(A_1\), \(A_2\), \(A_3\)) with different distances and package-demand ratio out of warehouse's total packages (, , ), respectively. The transportation times between the warehouse and three areas are , , (hours/tour), respectively. A tour is the round-trip between warehouse and an area using a truck for transportation. We also assume that a truck can be transport up to (packages).
How many trucks is the minimum number needed for shipping all packages from the warehouse to three areas within days

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