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A number of vehicles (trucks, airplanes...) arrive over time at an exchange facility. The facility has a number of docks or gates. Each gate can handle at most one vehicle at a time. We would like to assign vehicles to gates so that the value of the assignments is maximized, and at most one vehicle is assigned to specific gate at a specific instance. Additional realistic features not included: a) allowing some vehicles to be slightly delayed, b) not allowing certain, e.g., large, vehicles at adjacent gates, c) value of assignment to a gate depend upon what other vehicles are at nearby gates, e.g., if people or cargo are transferred between vehicles;