The problem of minimizing the makespan on one machine with possible de
pendencies between jobs is considered. We enlarge the notion of preced
ence constraint by considering a minimal duration between the start ti
mes of each pair of dependent jobs. We propose an exact algorithm wher
e this duration is taken into account. This algorithm is based on Carl
ier's algorithm [Carlier 82] for the One-Machine Sequencing (OMS) prob
lem with independent jobs.