Skip to main content
SpringerLink
Log in

Scheduling a Flexible Batching Machine

  • Conference paper
Algorithmic Aspects in Information and Management (AAIM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4508))

Included in the following conference series:

  • 741 Accesses

Abstract

Minimizing total completion time ∑ C j on normal batching machine is solvable in polynomial time for fixed B(B > 1), while Minimizing total completion time ∑ C j for arbitrary B and minimizing total weighted completion time ∑ W j C j are open problems. In this paper, we consider the problem of scheduling jobs on a flexible batching machine in order to minimizing the total completion time. We prove that the problem is strongly NP-hard. Then the problem with agreeable is NP-hard even if there have three fixed capacities all the time.

Supported by the National Natural Science Foundation of China (No. 10371071 and 70618001) and Shanghai Municipal Education Commission Address (No. 07zz178).

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ahmadi, J.H., Almadi, R.H., Dasu, S., Tang, C.S.: Batching and Jobs on Batch and Discrete Processors. Operations Research 40, 750–763 (1992)

    MATH  MathSciNet  Google Scholar 

  2. Brucker, P., Gladky, S., Hoogeveen, H., Kovalyov, M., Potts, C., Tantenhahn, T., van de Velde, S.: Scheduling a batching machine. Journal of Scheduling 1, 31–54 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  3. Chandru, V., Lee, C.-Y., Uzsoy, R.: Minimizing total completion time on batch processing machines. International Journal of Production Research 31, 2097–2122 (1993)

    Article  Google Scholar 

  4. Chandru, V., Lee, C.-Y., Uzsoy, R.: Minimizing total completion time on batch processing machines. Operations Research Letter 13, 61–65 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  5. Coffman Jr., E., Nozari, A., Yannakakis, M.: Optimal Scheduling of Products with Two Subassemblies of a Single Machine. Operations Research 37, 426–436 (1989)

    MATH  MathSciNet  Google Scholar 

  6. Fan, B., Tang, G.: Scheduling Jobs on a Flexible Batching Machine: Model, Complexity and Algorithms. In: Cai, J.-Y., Cooper, S.B., Li, A. (eds.) TAMC 2006. LNCS, vol. 3959, pp. 118–127. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Garey, M.R., Johnson, D.S.: Computers and intactability: A guide to the theory of NP-completeness. Freeman, New York (1979)

    MATH  Google Scholar 

  8. Hochbaum, D.S., Landy, D.: Scheduling semiconductor burn-in operations to minimize total flowtime. Operations Research 45, 874–885 (1997)

    Article  MATH  Google Scholar 

  9. Ikura, Y., Gimple, M.: Efficient scheduling algorithms for a single batch processing machine. Operations Research Letter 5, 61–65 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  10. Julien, F., Magazine, M.: Batching and Scheduling Multi-Job Orders. CORS/TIMS/ORSA Vancouver Bulletin (1989)

    Google Scholar 

  11. Lee, C.-Y., Uzsoy, R., Martin-Vega, L.A.: Efficient Algorithms for Scheduling Semiconductor Burn-in Operations. Operations Research 40(4), 764–775 (1992)

    MathSciNet  MATH  Google Scholar 

  12. Potts, C.N., Kovalyov, M.Y.: Scheduling with batching: a review. European Journal of Operational Research 120, 228–249 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  13. Poon, C.K., Yu, W.: On minimizing total completion time in batch machine scheduling. International Journal of Foundations of Computer Science 15(4), 593–604 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  14. Santos, C., Magazine, M.: Batching in Single Operation Manufacturing Syatem. Operations Research Letter 4, 99–103 (1985)

    Article  MATH  Google Scholar 

  15. Tang, C.S.: Scheduling Batches on Parallel Machines with Major and Minor Setups. European Journal of Operational Research 46, 28–37 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  16. Tang, G., Zhang, F., Luo, S., Liu, L.: Theory of Modern Scheduling. Popular Science Press, Shanghai (2003)

    Google Scholar 

  17. Vickson, R.G., Magazine, M.J., Santos, C.A.: Batching and Scheduling of Components at a Single Facility. Working Paper 185-MS-1989, University of Waterloo, Canada (1989)

    Google Scholar 

  18. Webster, S., Baker, K.R.: Scheduling Groups of Jobs on a Single Machine. Operations Research 43, 692–703 (1995)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Information, Ludong University, Yantai 264025, People’s Republic of China

    Baoqiang Fan & Jianzhong Gu

  2. Institute of Management Engineering, Shanghai Second Polytechnic University, Shanghai 201209, People’s Republic of China

    Guochun Tang

Authors
  1. Baoqiang Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jianzhong Gu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guochun Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ming-Yang Kao Xiang-Yang Li

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Fan, B., Gu, J., Tang, G. (2007). Scheduling a Flexible Batching Machine. In: Kao, MY., Li, XY. (eds) Algorithmic Aspects in Information and Management. AAIM 2007. Lecture Notes in Computer Science, vol 4508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72870-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72870-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72868-9

  • Online ISBN: 978-3-540-72870-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation