Skip to main content

Efficient Solution Procedures for Certain Scheduling and Sequencing Problems

  • Conference paper

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 86))

Abstract

The solution of scheduling and sequencing problems has in most cases proved to involve serious difficulties. Direct solution methods are available only for problems of very special structure — e.g., see [7] — and computational experience with recursive procedures has generally been quite disappointing. Dynmaic programming has been of very limited utility (e.g., see [4] and the comments of [8] on [2]). Branch and bound methods, although frequently proposed (e.g., see [1] and [6]), have generally not been efficient enough to provide a practical solution procedure.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Agin, M., “Optimum Seeking with Branch and Bound”, Mgt.Sc., Vol. 13 (1966), B176–B185.

    Google Scholar 

  2. Butcher, W. S., Y.Y. Haimes, and W.A. Hall, “Dynamic Programming for the Optimal Sequencing of Water Supply Projects”, Water Resources Research, Vol. 5 (1969), pp. 1196–1204.

    Article  Google Scholar 

  3. Hardy, G. H., J. E. Littlewood, and G. Bolya, Inequalities, Cambridge University Press, 1934.

    Google Scholar 

  4. Held, M. and R. M. Karp, “A Dynamic Programming Approach to Sequencing Problems”, Jour. Sec. Ind. and Appl. Math., Vol. 10, No. 1 (March, 1962), pp. 196–210.

    Article  Google Scholar 

  5. Johnson, S.M., “Optimal Two and Three Stage Production Schedules with Setup Times Included”, Nav. Res. Log. Quart., Vol. 1, No. 1 (March, 1954), pp. 61–68.

    Article  Google Scholar 

  6. Lawler, E. L. and D. E. Wood, “Branch and Bound Methods: A Survey”, Opns.Res., Vol. 14 (1966), pp. 669–719.

    Google Scholar 

  7. Rau, J. G., “Minimizing a Function of Permutations of n Integers”, Opns.Res., Vol. 19, No. 1 (Jan.-Feb., 1971), pp. 237–240.

    Article  Google Scholar 

  8. Erlenketter, D., “The Sequencing of Expansion Projects”, Working Paper No. 166, Western Management Science Institute, UCLA, (Nov., 1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Mitten, L.G., Tsou, C.A. (1973). Efficient Solution Procedures for Certain Scheduling and Sequencing Problems. In: Elmaghraby, S.E. (eds) Symposium on the Theory of Scheduling and Its Applications. Lecture Notes in Economics and Mathematical Systems, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80784-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-80784-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06437-4

  • Online ISBN: 978-3-642-80784-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics