The standard way of solving a mathematical program, is to feed the program into some numerical solver, which usually is custom-made for a class of problems. When several optimization problems, which only differ by the value of some parameter vector, are to be solved, an alternative may be to consider the problem as a parametric program. Some classes of parametric programs can be solved explicit...

We discuss one aspect of the allocation of new scientists to teaching and research careers. In the past, this allocation problem was treated on the basis of a model with kown constant parameters and as a classical open-loop optimal control problem with the allocation ratio as the sole control variable. The utility function in that treatment took both short term and long term goals into account....

For a general H 2 optimal control problem, at rst all H 2 optimal measurement feedback controllers are characterized and parameterized, and then attention is focused on controllers with observer based architecture. Both full order as well as reduced order observer based H 2 optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. An impo...

We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used. An optimal control approach is applied in order to find the best way to fight the disease.

Both linkage and association methods have been used to localise and identify genes related to behaviour and other complex traits. The linkage approach (parametric or non-parametric) can be used for whole genome screens to localise genes of unknown function. The parametric linkage approach is very effective for locating single-gene disorders and is usually based on large family pedigrees. The no...