Resolution of some 2-stage hybrid flowshop scheduling problems

In this paper we propose a synthesis of works dealing with a particular two-stage hybrid flowshop. We know its significance for modeling many real manufacturing workshops. There are M⁽¹⁾ identical machines at the first stage and only one at the second. The optimized criterion is the maximum tardiness. In a first time, machines are always available. Two heuristic resolution methods are given and compared. In a second time one of these methods is particularized when the number of available machines is not lower than M⁽¹⁾-1 at each time. It allows to take a maintenance policy into account. In both cases linear programming formulations are given: whereas this approach is not very effective, problems are so accurately explained