Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

Scheduling parallel machines with major and minor setup times

  • Published:
International Journal of Flexible Manufacturing Systems Aims and scope Submit manuscript

Abstract

This article discusses the problem of scheduling a large set of parts on an FMS so as to minimize the total completion time. Here, the FMS consists of a set of parallel identical machines. Setup time is incurred whenever a machine switches from one type of part to another. The setup time may be large or small depending on whether or not the two part types belong to the same family. This article describes a fast heuristic for this scheduling problem and derives a lower bound on the optimal solution. In computational tests using random data and data from an IBM card test line, the heuristic archieves nearly optimal schedules.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Coffman, E.G., Garey, M.R., and Johnson, D.S., “An Application of Bin-Packing to Multiprocessor Scheduling,” SIAM Journal of Computing, Vol. 7, pp. 1–16 (1978).

    Google Scholar 

  • Dietrich, B.L. “A Two Phase Heuristic for Scheduling on Parallel Unrelated Machines with Set-ups,” RC 14330, IBM T.J. Watson Research Center, Yorktown Heights, NY (1989).

    Google Scholar 

  • Geoffrion, A.M. and Graves, G.W. “Scheduling Parallel Production Lines with Changeover Costs: Practical Application of a Quadratic/LP Approach,” Operations Research, Vol. 24, pp 595–610 (1976).

    Google Scholar 

  • Graham, R.L., “Bounds on Multiprocessing Timing Anomalies” SIAM Journal of Applied Mathematics, Vol. 17, pp. 416–429 (1969).

    Google Scholar 

  • Hochbaum, D.S. and Shmoys, D.B., “Using Dual Approximation Algorithms for Scheduling Problems: Theoretical and Practical Results,” Journal of the Assoc. for Computing Machinery, Vol. 34, No. 1, pp. 144–162 (1987).

    Google Scholar 

  • Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., and Shmoys, D.B., The Traveling Salesman Problem, John Wiley, New York (1985).

    Google Scholar 

  • Tang, C.S., “Scheduling Batches on Flexible Manufacturing Machines”, To appear in European Journal of Operational Research

  • Tang, C.S. and Wittrock, R.J., “Parallel Machine Scheduling with Major and Minor Setups”, RC 11412, IBM T.J. Watson Research Center, Yorktown Heights, NY (1985).

    Google Scholar 

  • Ullman, J.D., “Complexity of Sequencing Problems,” in Computer and Job/Shop Scheduling Theory, E.G. Coffman (Ed.), John Wiley, New York, pp. 139–164 (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wittrock, R.J. Scheduling parallel machines with major and minor setup times. Int J Flex Manuf Syst 2, 329–341 (1990). https://doi.org/10.1007/BF00186472

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00186472

Key Words

Navigation