Attaining stability in multi-skill workforce scheduling Murat Firat We define a set inequalities that are to be satisfied by stable multi-skill workforce schedules. In our analysis, a schedule is said to be stable if it does not contain a blocking pair, extending the notion of blocking pair in the Marriage Model of Gale-Shapley. Skill efficiency is chosen as the criterion in the preference structure. The proposed algorithm either constructs a stable multi-skill workforce schedule or decides that no stable schedule exists.