Mixed-Integer Non-Linear Programming (MINLP) is a common generalisation of Mixed-Integer Linear Programming (MILP) and Non-Linear Programming (NLP). A wide variety of important problems in industry and elsewhere can (and arguably should) be modelled as MINLPs. On the other hand, MINLPs can be very difficult to solve, and the currently available software is not as advanced as that for either MILP or NLP. This talk will give an introduction to the theory and applications of MINLP, along with a brief survey of the available algorithms and software.
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