Skip to main content

Dependencies and Configurations of Solutions in Multicriteria Optimization in Nets

  • Conference paper
  • 866 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 39))

Abstract

We want, in general form, to close to the practical aspects of multicriteria optimization in nets. Set of criterions contains typical aims for network task such critical path, minimal path, minimum spanning tree, maximal flow, cardinality matching etc. Once criteria can be multiplied by, on example, several starting and target points. The others by mutually covered sets of constrains and dependences between them. In practice also we have deal with uncertain parameters characterizing elements of network structure. In such case we will choose aggregation criteria variant and the best with point of view of given criterions set of values of parameters. Practical validity of such kind of analyses consist in utility obtained results in projects or their modification during exploitation.

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. AASHTO: A policy on geometric design of rural highways, Washington (1975)

    Google Scholar 

  2. Aboelela, E., Douleligeris, C.: Fuzzy multiobjective routing model in B-ISDN. Computer Comunication 21, 1571–1584 (1998)

    Google Scholar 

  3. Arnold, P., Peeters, D., Thomas, J.: Modeling a rail/road intermodal transportation system. Transportation Research Part E 40, 255–270 (2004)

    Article  Google Scholar 

  4. Ash, G.R.: Design and Control of networks with dynamic nonhierarchical routing. IEEE Comm. Mag. 28(10), 34–40 (1990)

    Article  Google Scholar 

  5. Bella, A., Ducstein, L., Sziradovski, F.: A multicriterion Analysis of the water Allocation. Conflict in the Upper Rio Grande Basin. Applied Mathematics and Computation, New York (1966)

    Google Scholar 

  6. Bertault, F.: A force – directed algorithm that preserves edge crossing properties. In: Kratochvíl, J. (ed.) GD 1999. LNCS, vol. 1731, pp. 351–358. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  7. Blum, A., Ravi, S., Vempala, A.: A constant factor approximation for the k-st problem. In: Proc. 28th Ann. ACM Symp. on the theory of Computing (StOC 1996), pp. 442–448. ACM Press, New York (1996)

    Google Scholar 

  8. Bookbiuder, J., Fox, N.: Intermodal Routing of Canada Mexico shipments under NAFTA. Transportation Research E,34, 289–303 (1998)

    Google Scholar 

  9. Drangmeister, K.U., Krumke, S.O., Marathe, M.V., Noltemeier, H., Ravi, S.S.: Modifying edges of a network to obtain short sub graphs. Theoretical Computer Science 203, 91–121 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  10. Goemas, M.X., Golberg, A.V., Plotkin, S., Shmoys, D.B., Trados, E., Wiliamson, D.P.: Improved approximation algorithms for network design problems. In: Proc. 5th Ann. ACM-SIAM Symp. on Discrete Algoritms (SODA 1994). ACM Press, New York (1994)

    Google Scholar 

  11. Hollendorn, W.A.H., Seising, R., Weitzel, C.T.A.: Fuzzy Routing. Fuzzy Sets and Systems 85, 131–153 (1997)

    Article  MathSciNet  Google Scholar 

  12. Hong, S.-H., Merrick, D., Nascimento, H.A.D.: The metro map layout problem. In: Pach, J. (ed.) GD 2004. LNCS, vol. 3383, pp. 482–491. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  13. Karamaras, G.S., Brino, L., Corrieri, G., Pline, C., Grasso, P.: Application of Multicriteria Analysis to Select the Best Highway Alignment. Tunneling and Underground Space Technology 15(4), 415–420 (2000)

    Article  Google Scholar 

  14. Kozan, E.: Optimizing container transfers at multimodal terminals. Mathematical and Computer Modeling 31, 235–243 (2000)

    Article  Google Scholar 

  15. Lawler, E.L.: Combinatorial Optimization. In: Networks and Matroids, ch. 4. Holt Rinhart and Winston, New York (1976)

    Google Scholar 

  16. Modesti, P., Sciomachen, A.: A utility measure for finding multiojective shortest paths in urban multimodal transportation networks. European J. of Oper. Res. 111, 495–508 (1998)

    Article  MATH  Google Scholar 

  17. Perez de la Cruz, J.L., Conejo-Munoz, R., Morales Bueno, R.: Highway design by constraint specification. Artificial Intelligence in Engineering 9, 127–139 (1995)

    Article  Google Scholar 

  18. Piech, H., Ptak, A., Machura, M.: Generation of multicriterial optimization solution on the basis of uncertain evaluation. In: 18th International Conference on Multiple Criteria Decision Malking, Chania (2006)

    Google Scholar 

  19. Piech, H., Ptak, A., Machura, M.: Fuzzy Strategies in Modelling Effect of Technological Inplementation. In: 2nd Inernational Conference on Fuzzy Sets and Soft Computing FSSCEF, Saint Petersburg (2006)

    Google Scholar 

  20. Rai, S.: A cut set approach to reliability in communication networks. IEEE Trans. Reliability R-31, 428–431 (1982)

    Article  MATH  Google Scholar 

  21. Roy, B., Present, M., Silhol, D.: A programming method for determining which Paris metro station should be renovated. European Journal Operational Research 24, 318–334 (1986)

    Article  Google Scholar 

  22. Roy, B., Slowiński, R., Treichel, W.: Multicriteria programming of water supply systems for rural areas. Water Resour. Bull. 28(1), 13–32 (1992)

    Article  Google Scholar 

  23. Stott, J.M., Rodgers, P.: Metro Map Layout Using Multicriteria Optimization (2001)

    Google Scholar 

  24. Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transaction on Systems, Man and Cybernetics 18(1) (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Piech, H. (2009). Dependencies and Configurations of Solutions in Multicriteria Optimization in Nets. In: Kwiecień, A., Gaj, P., Stera, P. (eds) Computer Networks. CN 2009. Communications in Computer and Information Science, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02671-3_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02671-3_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02670-6

  • Online ISBN: 978-3-642-02671-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics