This paper introduces an overview of the methods that have been used in the literature to solve the Shift Design and Personnel Task Scheduling Problem with Equity. Basically, this problem aims at designing a schedule while assigning fixed tasks, that cannot be preempted, to an heterogeneous workforce. Such problem may occur in several contexts, where industrial activity requires a sharp and efficient management of workers. In this paper, we focus on the particular case of a company specialized in drug evaluation. This company is facing a scheduling problem that may be modelized as a Shift Design and Personnel Task Scheduling Problem with Equity. Based on realistic instances of this particular problem, we compare the relative performances of the different methods considered: A two-phase method, a constraint-based approach and a large neighborhood search derived from the constraint-based model.