  A rework network is a distinct multi-state network that exists in many
real-life industrial manufacturing systems for fixing defective products using
rework processes to improve the utility and productivity of the systems. To
provide a more general model of rework networks, a novel one-batch preempt
multi-state multi-rework network is proposed to achieve real-life applications
without numerous impractical and unreasonable limitations. Accordingly, a new
algorithm based on two different multi-state types of binary addition tree
algorithms (BATs) is proposed to calculate the reliability of the proposed
rework. Furthermore, the proposed BAT-based algorithm is applied to four rework
problems to validate its effectiveness and performance for the rework
reliability problem.
