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Approximation schemes for preemptive weighted flow time. (English) Zbl 1192.68877

Proceedings of the thirty-fourth annual ACM symposium on theory of computing (STOC 2002), Montreal, Quebec, Canada, May 19–21, 2002. New York, NY: ACM Press (ISBN 1-581-13495-9). 297-305, electronic only (2002).
For the entire collection see [Zbl 1074.68502].

MSC:

68W25 Approximation algorithms
90B35 Deterministic scheduling theory in operations research

References:

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[4] C. Chekuri, S. Khanna, and A. Zhu. Algorithms for weighted flow time. In Proceedings of the 33rd ACM Symposium on Theory of Computing, 2001. 10.1145/380752.380778
[5] M. E. Dyer and L. A. Wolsey. Formulating the single machine sequencing problem with release dates. Discrete Applied (MATH)ematics, 26:255-70, 1990. 10.1016/0166-218X(90)90104-K · Zbl 0694.90060
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[7] L. A. Hall, A. S. Schulz, D. B. Shmoys, and J. Wein. Scheduling to minimize average completion time: Offline and online algorithms. (MATH). of Operations Research, 22:513-544, 1997. 10.1287/moor.22.3.513 · Zbl 0883.90064
[8] M. Harchol-Balter, N. Bansal, and B. Schroeder. Implementation of SRPT Scheduling in Web Servers. Technical Report, Carnegie Mellon University, CMU-CS-00-170, 2000.
[9] R. Jain. The Art of Computer Systems Performance Analysis. John Wiley, New York, 1991. · Zbl 0824.68013
[10] H. Kellerer, T. Tautenhahn, and G. J. Woeginger. Approximability and nonapproximability results for minimizing total flow time on a single machine. In Proceedings of the 28th Annual ACM Symposium on Theory of Computing, pages 418-426, May 1996. 10.1145/237814.237989 · Zbl 0915.90151
[11] J. K. Lenstra, A. H. G. Rinnooy Kan, and P. Brucker. Complexity of machine scheduling problems. Annals of Discrete (MATH)ematics, 1:343-362, 1977. · Zbl 0353.68067
[12] S. Leonardi and D. Raz. Approximating total flow time on parallel machines. In Proceedings of the 29th Annual ACM Symposium on Theory of Computing, pages 110-119, 1997. 10.1145/258533.258562 · Zbl 0962.68007
[13] S. Muthukrishnan, R. Rajaraman, R. Shaheen, and J. Gehrke. Online scheduling to minimize average stretch. In Proceeding of the 4oth Annual IEEE Symposium on Foundations of Computer Science, pages 433-43, 1999.
[14] A. Schulz and M. Skutella. The power of α-points in preemptive single machine scheduling. To appear in Journal of Scheduling.
[15] W. E. Smith. Various optimizers for single-stage production. Naval Res. Logist. Quart., 3:59-66, 1956.
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