Skip to main content

Characteristics of the Efficient Solutions of Bicriteria and Tricriteria Network Flow Problems

  • Conference paper
Advances in Multiple Objective and Goal Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 455))

Abstract

The ease of understanding their pictorial representation and the better computational performances of algorithms that have been developed to solve them, are among some of the advantages of single objective network flow problems. Even though these advantages have been extensively explored for the single objective case, there seems to be a lack of progress in exploring these advantages for the multiple objective case. In this paper, some interesting characteristics of the efficient solutions of bicriteria and tricriteria network flow problems are described. The descriptions are based on our observations of the compromise solutions obtained from the use of a readily available user-friendly software package called DINAS (Dynamic Interactive Network Analysis System).

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ahuja, R.K., Magnanti, T.L. and Orlin, J.B., Network Flows: Theory, Algorithms and Applications, Prentice-Hall, Englewoods Cliffs, NJ (1993).

    Google Scholar 

  • Antunes, C.H., Alves, M.J., Silva, A.L. and Climaco, J.N., An integrated MOLP method base package–A guided tour of TOMMIX. Computers Ops Res. 19, 7, 609–625 (1992).

    Article  Google Scholar 

  • Current, J. and Min, H., Multiobjective design of transportation networks: taxonomy and annotation. Eur. J. Opl Res. 26, 187–201 (1986).

    Article  Google Scholar 

  • Current, J. and Marsh, M., Multiobjective transportation network design and routing problems: taxanomy and annotation. Eur. J. Opl Res. 65, 4–19 (1993).

    Article  Google Scholar 

  • Fruhwirth, B. and Mekelburg, K., On the efficient point set of tricriteria linear programs. Eur. J. Opl Res. 72, 192–199 (1994).

    Article  Google Scholar 

  • Golden, B.L. and Magnanti, T.L., Deterministic network optimization: a bibliography. Network 7, 149–183 (1977).

    Article  Google Scholar 

  • Korhonen, P., The multiple objective linear programming decision support system VIG and its applications. Readings in Multiple Criteria Decision Aid (Edited by C.a. Bana e Costa ), Springer-Verlag (1990).

    Google Scholar 

  • Lee, H. and Pulat, P.S., Bicriteria network flow problems: integer case. Eur. J. Opl Res. 66, 148–157 (1993).

    Article  Google Scholar 

  • Ogryczak, W., Studzinski, K. and Zorychta, K., DINAS: A computer-assisted analysis system for multiobjective transshipment problems with facility location. Computers Ops Res. 19, 7, 637–647 (1992).

    Article  Google Scholar 

  • Pulat, P.S., Huarng, F. and Lee, H., Efficient solutions for the bicriteria network flow problem. Computers Ops Res.. 19, 7, 649–655 (1992).

    Article  Google Scholar 

  • Shin, W.S and Ravindran, A., Interactive multiple objective optimization: survey I–continuous case. Computers Ops Res. 18, 97–114 (1991).

    Article  Google Scholar 

  • Steuer, R.E., Multiple Criteria Optimization: Theory, Computation, and Application, John Wiley and Sons, New York (1986).

    Google Scholar 

  • Ulungu, E.L. and Teghem, J., Multi-objective combinatorial optimization problems: a survey. J. Multi-Criteria Decision Analysis 3, 83–104 (1994).

    Article  Google Scholar 

  • Wierzbicki, A.P., A mathematical basis for satisficing decison making. Mathl Modeling 3, 391–405 (1982).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mustafa, A., Goh, M. (1997). Characteristics of the Efficient Solutions of Bicriteria and Tricriteria Network Flow Problems. In: Caballero, R., Ruiz, F., Steuer, R. (eds) Advances in Multiple Objective and Goal Programming. Lecture Notes in Economics and Mathematical Systems, vol 455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46854-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46854-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63599-4

  • Online ISBN: 978-3-642-46854-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics