Two machine open shop scheduling problem with setup, processing and removal times separated
Computers and Operations Research
Open Shop Scheduling to Minimize Finish Time
Journal of the ACM (JACM)
Two-machine shop scheduling problems with batch processing
Mathematical and Computer Modelling: An International Journal
A single machine carryover sequence-dependent group scheduling in PCB manufacturing
Computers and Operations Research
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This paper studies the problem of scheduling jobs in a two-machine open shop to minimize the makespan. Jobs are grouped into batches and are processed without preemption. A batch setup time on each machine is required before the first job is processed, and when a machine switches from processing a job in some batch to a job of another batch. For this NP-hard problem, we propose a linear-time heuristic algorithm that creates a group technology schedule, in which no batch is split into sub-batches. We demonstrate that our heuristic is a 54-approximation algorithm. Moreover, we show that no group technology algorithm can guarantee a worst-case performance ratio less than 54.