2020 Volume 71 Issue 3 Pages 111-122
It is possible that workers' error, variation in processing time, lack of parts and machine failure will affect the delivery time of each production process. Consecutive delay in a process can lead to the postponement of production. In this paper, we propose an optimal assignment model in reset limited-cycle multiple periods to study the optimal assignment property with three work capacity levels. First, we present the reset limitedcycle model. Then, we consider an assignment with the minimized total expected cost within a certain range remove analytically determined using these three groups of workers (i.e., referred to in this paper as "local optimal assignment"). After that, we propose the theorems of the optimal assignment property. Finally, we conduct numerical experiments and discuss the optimal assignment rules withing all ranges.