Abstract
We consider batch processing of jobs to minimize the mean response time. A batch processing machine can handle up to B jobs simultaneously. Each job is represented by an arrival time and a processing time. The processing time of a batch of several jobs is the maximum of their processing times. In batch processing, non-preemptive scheduling is usually required and we discuss this case. The batch processing problem reduces to the ordinary uni-processor system scheduling problem if B = 1. We focus on the case B = +∞. Even for this seemingly simple extreme case, we are able to show that the problem is NP-hard. We further show that several important special cases of the problem can be solved in polynomial time.
Research partially supported by a CERG grant of Hong Kong UGC and an SRG grant of City University of Hong Kong
Research partially supported by Natural Science Foundation of China and Shandong
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© 1999 Springer-Verlag Berlin Heidelberg
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Deng, X., Zhang, Y. (1999). Minimizing Mean Response Time in Batch Processing System. In: Asano, T., Imai, H., Lee, D.T., Nakano, Si., Tokuyama, T. (eds) Computing and Combinatorics. COCOON 1999. Lecture Notes in Computer Science, vol 1627. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48686-0_23
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DOI: https://doi.org/10.1007/3-540-48686-0_23
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