  We are considering a two-stage optimal scheduling problem, which involves two
similar projects with the same starting times for workers and the same
deadlines for tasks. It is required that the starting times for workers and
deadlines for tasks should be optimal for the first-stage project and, under
this condition, also for the second-stage project. Optimality is measured with
respect to the maximal lateness (or maximal delay) of tasks, which has to be
minimized. We represent this problem as a problem of tropical pseudoquadratic
optimization and show how the existing methods of tropical optimization and
tropical linear algebra yield a full and explicit solution for this problem.
