Scheduling Jobs with Release Dates and Deadlines on a Batch Processing Machine

In this paper, we investigate the unbounded version of scheduling jobs with release dates and deadlines on a batch processing machine. NP-completeness is established for the case where all jobs have agreeable processing times and deadlines. Polynomial time algorithms are presented for the following cases: agreeable release dates and deadlines; agreeable release dates and processing times; a fixed number of distinct release dates, distinct processing times or distinct deadlines.