2013/06/09 by Ting-Chih Huang, Bertrand M.T. Lin · 1 citation
Engineering · #Scheduling and Optimization Algorithms #Assembly Line Balancing Optimization #Advanced Manufacturing and Logistics Optimization
paper · doi:10.1080/00207543.2013.784418
This paper considers a two-stage three-machine differentiation flow shop that comprises a common machine at stage 1 and two independent dedicated machines at stage 2. Two types of jobs are to be processed. All jobs must visit the stage-1 machine, and then the jobs of each type proceed to their dedicated machine for stage-2 processing. The stage-1 machine processes the jobs in batches, each of which, whenever formed, requires a constant setup time. The objective is to find a schedule that attains the minimum makespan. While the problem is strongly NP-hard, we investigate the case where the processing sequences of the two types of jobs are given and fixed. A polynomial-time dynamic programming algorithm is designed to solve this problem. We then deploy this algorithm to compute the lower bounds of the general problem.