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.

Mixed integer programming modeling for the satellite three-dimensional component assignment and layout optimization problem [J].

We give a branch-and-cut algorithm for solving linear programs (LPs) with continuous separable piecewise-linear cost functions (PLFs). Models for PLFs use continuous variables in special-ordered sets ...