Skip to main content

The linear transportation problem

  • Chapter
Ten Applications of Graph Theory

Part of the book series: Mathematics and Its Applications ((MAEE,volume 7))

  • 426 Accesses

Abstract

The classical transportation problem as formulated by F. L. Hitchcock in 1941 reads as follows:

  • Given m producers X 1,...,X m of an article, with X i being capable of producing a(X i ) = a i ≧ 0.

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

Access this chapter

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
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Bibliography

  1. Busacker, R. G., and P. J. Gowen: A Procedure for Determining a Family of Minimal-Cost Network Flow Patterns, ORO Techn. Report 15, Operations Res. Office, Johns Hopkins Univ., Baltimore 1961.

    Google Scholar 

  2. Busacker, R. G., and T. L. Saaty: Finite Graphs and Networks, An Introduction with Applications, New York 1965 (German: Munich/Vienna 1968; Russian: Moscow 1974).

    Google Scholar 

  3. Ford, L. R., and D. R. Fulkerson: Flows in Networks, Princeton, N.J., 1962 (Russian: Moscow 1966).

    Google Scholar 

  4. Hu, T. C.: Integer Programming and Network Flows, Reading, Mass., 1970 (German: Munich/Vienna 1972; Russian: Moscow 1974).

    Google Scholar 

  5. Klein, M.: A primal method for minimal cost flows, Management Sci. 14 (1967), 205 to 220.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1984 VEB Deutscher Verlag der Wissenschaften, Berlin

About this chapter

Cite this chapter

Walther, H. (1984). The linear transportation problem. In: Ten Applications of Graph Theory. Mathematics and Its Applications, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7154-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-7154-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7156-1

  • Online ISBN: 978-94-009-7154-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics