## Minimizing makespan with release times on identical parallel batching machines.(English)Zbl 1066.90033

Summary: We consider the problem of scheduling $$n$$ jobs on $$m$$ identical parallel batching machines. Each job is characterized by a release time and a processing time. Each machine can process up to $$B$$ $$(B<n)$$ jobs as a batch simultaneously. The processing time of a batch is equal to the largest processing time among all jobs in the batch. The objective is to minimize the maximum completion time (makespan). We present a polynomial time approximation scheme (PTAS) for this problem.

### MSC:

 90B35 Deterministic scheduling theory in operations research 90C05 Linear programming
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### References:

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