1. General Techniques for Mixed-Integer Programming
(MIP). Nowadays MIP solvers are very sophisticated and
able to solve instances arising in a large number of fundamental
applications. Thus, it is very important to improve and
extend the general-purpose techniques implemented in those
solvers.
2. Algorithms for multi-dimensional packing and cutting
problems. Multi-dimensional cutting and packing problems
have great interest both from the theoretical and practical
viewpoints. Several general-purpose techniques for MIP and for
approximation have been initially designed for those problems and
their effective solution is crucial for real-world applications for
example in the field of logistics.
3. General Techniques for Mixed-Integer Non Linear
Programming (MINLP). Several real-world applications in
engineering require sophisticated non-linear mathematical models
able to capture the essence of the processes involved. Thus, MINLP
is a fundamental tool for engineers and general-purpose techniques
for practically solve MINLPs are required.
4. Optimization algorithms for the electricity
market. Production and distribution of electricity have
encountered various changes in the recent years due to the
deregulation policies implemented in Europe. New models and
algorithms are required.