Skip to main content

Stochastic Optimization Models for Machining Operations

  • Chapter

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 423))

Abstract

In the paper the deterministic optimization models are summarized first. In these models the main decision variables are the feed, speed and depth of cut. Then we treat tool life as a random parameter and select a probability model that defines the tool life variations. Finally stochastic optimization models are defined for determining machining operations.

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   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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Avriel, M. and D. J. Wilde, Stochastic geometric programming, in: H. W. Kuhn (ed.) Proceedings of the Princeton Symposium of Mathematical Programming (Princeton University Press, Princeton, 1970).

    Google Scholar 

  2. Dupačova, J., On stochastic aspects of a metal cutting problem. Lecture presented at 2nd GAMM/IFIP Workshop on Stochastic Optimization: Numerical Methods and Technical Applications, UniBw Munich-Neubiberg, June 15–17, 1993.

    Google Scholar 

  3. Jagannathan, R., A stochastic geometric programming problem with multiplicative recourse, Operations Research Letters 9 (1990) 99–104.

    Article  Google Scholar 

  4. Kaцeb, N.r., Cтaтиctичecиke Metoды Иccлeдobahия Peжy-Щero Иhctpymehta, (Mockba, Maщиhoctpoehиe, 1974).

    Google Scholar 

  5. Komorowski, R., Rozkladu Weibulla jako ogólny model rozkladu truvatosci narçedzi skrawajaçych, Mechanik 44 (1971) 136–139. (in Polish).

    Google Scholar 

  6. Rossetto, S. and Levi, R., Fracture and wear as factors affecting stochastic tool-life models and machining economics, Journal of Engineering for Industry, Transactions of ASME, Series B 99 (1977) 281–286.

    Article  Google Scholar 

  7. Taylor, F. W., On the art of cutting metals, Transactions of ASME 28 (1907) 31–35.

    Google Scholar 

  8. Wager, J. G. and Barash, M. M., Study of the distribution of the life of HSS tools, Journal of Engineering for I ndustry, Transactions of ASME, Series B 93 (1971) 1044–1050.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Szántai, T., Mészáros, I., Völgyi, J. (1995). Stochastic Optimization Models for Machining Operations. In: Marti, K., Kall, P. (eds) Stochastic Programming. Lecture Notes in Economics and Mathematical Systems, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88272-2_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-88272-2_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58996-9

  • Online ISBN: 978-3-642-88272-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics