Priority coordination of fiber positioners in multi-objects spectrographs

Projects such as "The Dark Energy Spectroscopic Instrument" (DESI) [1] or "The Multi Object Optical and Near-infrared Spectrograph" (MOONS) [5] are developing spectrographs, composed of more than thousand of optical fibers in a confined hexagonal focal plane, to study the evolution of the universe. Such systems allow fast reconfiguration of the fibers as they are moved simultaneously to their assigned target by a 2-arm positioner within an short interval of time. Moreover, astronomers prioritize the observation of some objects over those that hold less information, creating a hierarchy of importances or priorities. In a scenario where not all the positioners can reach their targets, It is important to ensure the observation of the high-priority targets.