Greydog Bus Company operates buses between Boston and Washington, D.C. A bus trip between these two cities takes 6 hours. Federal law requires that a driver rest for four or more hours between trips. A driver’s workday consists of two trips: one from Boston to Washington and one from Washington to Boston. Table gives the departure times for the buses.
Trip
Departure Time
Boston 1
6 A.M.
Washington 1
5:30 A.M.
Boston 2
7:30 A.M.
Washington 2
9 A.M.
Boston 3
11.30 A.M.
Washington 3
3 P.M.
Boston 4
7 P.M.
Washington 4
6:30 P.M.
Boston 5
12:30 A.M.
Washington 5
12 midnight
Greydog’s goal is to minimize the total downtime for all drivers. How should Greydog assign crews to trips? Note: It is permissible for a driver’s “day” to overlap midnight. For example, a Washington-based driver can be assigned to the Washington–Boston 3 P.M. trip and the Boston–Washington 6 A.M. trip.
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