Heuristic algorithms for preemptive scheduling in a Two-stage flowshop with unrelated parallel machines and 0-1 resource requirements

The paper considers the problem of preemptive scheduling in a two-stage flowshop with parallel unrelated machines at the first stage and a single machine at the second stage. At the first stage, jobs use some additional renewable resources which are available in limited quantities. The resource requirements are of 0-1 type. The objective is minimization of the makespan. The problem is NP-hard. We develop heuristic algorithms which first solve the problem occurring at stage 1, and then find a final schedule in the flowshop. An extensive computational experiment shows that the proposed heuristic algorithms can be an efficient tool capable of finding good quality solutions.