An approximation algorithm for proportionate scheduling in the two-stage hybrid flow shop

作者：Dong, Jianming; Jiang, Yiwei; Zhang, An; Hu, Jueliang^*; Luo, Hui

来源：Information Processing Letters, 2015, 115(4): 475-480.

DOI：10.1016/j.ipl.2014.11.014

• Scheduling
• Two-stage proportionate flow shop
• Approximation algorithm
• Worst-case analysis

In the hybrid flow shop, jobs are subjected to process through stages in series as in the classical flow shop, while each stage contains one or more identical machines. This paper mainly studies the scheduling problem in the two-stage hybrid flow shop, namely the proportionate scheduling. In such problem, it is assumed that each job has the same processing time in different stages. The objective of minimizing the makespan is considered. If there are two machines in the first stage and m machines in the second, then an approximation algorithm with worst case ratio no more than 3/2 is provided. If each stage consists of only two machines, we show that the tight bound of our algorithm can be reduced to 4/3.

• 出版日期2015-4
• 单位杭州电子科技大学; 浙江理工大学