A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

Binary Integer Programming (BIP): An optimisation framework where variables are restricted to binary values, commonly used to model placement problems.

In most urban public transit rail systems, passengers may need to make several interchanges between different lines to reach their destination. The design of coordinated timetables that enable smooth ...

The MS Business Analytics degree focuses on the exciting and fast-growing field of big data. Designed to teach students how to translate data into strategic business decisions, this robust technical ...