This study addresses a flow shop sequencing problem with position-dependent processing times. The aim of this work is to minimize the maximum tardiness and analyze the effects of the deterioration factor. This work is different from existing works in the literature, in that processing times are not per se deteriorating; instead, the resources deteriorate. This model allows the analysis of worker fatigue in a hand-intensive manufacturing system, such as in the luxury or textile industries. A case study of the problem is presented. In addition, a mathematical model, one sequencing heuristic, two improvement heuristics, and two metaheuristics are proposed, i.e., iterated local search and a greedy randomized adaptive search procedure. Computational experiments are carried out using random-generated instances. Results show the efficiency and efficacy of the proposed metaheuristics, and provide insights into the impact of the deterioration factor in flow shop scheduling problems.