Machine Scheduling With a Maintenance Interval and Job Delivery Coordination
We investigate a scheduling problem with job delivery coordination in which the machine has a maintenance time interval. The goal is to minimize the makespan. In the problem, each job needs to be processed on the machine non-preemptively for a certain time, and then transported to a distribution center, by one vehicle with a limited physical capacity. We present a 2-approximation algorithm for the problem, and show that the performance ratio is tight.
Hu, Jueliang, Taibo Luo, Xiaotong Su, Jianming Dong, Weitian Tong, Randy Goebel, Yinfeng Xu, Guohui Lin.
"Machine Scheduling With a Maintenance Interval and Job Delivery Coordination."
Optimization Letters, 10 (8): 1645-1656.