Abstract
Scheduling problems of a batch processing machine are solved by efficient algorithms. On a batch processing machine, multiple jobs can be processed simultaneously in a batch form. We call the number of jobs in the batch the batch size, which can be any integer between 1 and k, a predetermined integer of the maximum batch size. The process time of a batch is constant and independent of the batch size. Preemption is not allowed. Given n jobs with release times r 1 and due dates d i , i = 1…., n, we give efficient algorithms to find a feasible schedule, if any, which minimizes the final completion time under the assumption such that for r i > r j , d i ⩾ d j . Some industrial applications are discussed.
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