The methods of R. E. Gomory for the iterative solution of the mixed-integer linear programming problem are extended directly to the case where some or all of the variables are nonuniformly discrete, i ...

Optimal control theory seeks to determine control strategies that drive dynamical systems to meet performance objectives, while mixed-integer optimisation incorporates both continuous and discrete ...

We present a method for approximating the solution of mixed integer nonconcave programming problems in bounded variables. We present computational results for 39 test problems which suggest that the ...

Methods for NP-hard discrete optimization problems, including general methods like branch-and-bound and cutting planes, as well as special purpose branch-and-cut methods. Students will be able to ...

Introduces students to ideas and techniques from discrete mathematics that are widely used in science and engineering. Mathematical definitions and proofs are emphasized. Topics include formal logic ...

This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to modelling ...