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On Multiparametric Sensitivity Analysis in Minimum Cost Network Flow Problem

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Computational Science and Its Applications – ICCSA 2005 (ICCSA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3483))

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Abstract

In this paper, we study multiparametric sensitivity analysis for minimum cost network flow problem using linear programming approach. We discuss supply/demand, arc capacity and cost sensitivity analysis using the concept of maximum volume region within the tolerance region. An extension of multiparametric sensitivity analysis to multicommodity minimum cost network flow problem is also presented. Numerical examples are given to illustrate the results.

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Author information

Authors and Affiliations

  1. Scientific Analysis Group, Defence R & D Organization, Ministry of Defence, Metcalfe House, Delhi, 110054, India

    Sanjeet Singh

  2. Department of Mathematics, Deen Dayal Upadhyaya College, (University of Delhi), Shivaji Marg, Karampura, New Delhi, 110015, India

    Pankaj Gupta

  3. Department of Operational Research, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India

    Davinder Bhatia

Authors
  1. Sanjeet Singh
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  2. Pankaj Gupta
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  3. Davinder Bhatia
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  2. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  5. Institute of High Performance Computing, IHCP, 1 Science Park Road, 01-01 The Capricorn, Singapore Science Park II, 117528, Singapore

    Heow Pueh Lee

  6. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  7. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  8. OptimaNumerics Ltd, Belfast, United Kingdom

    Chih Jeng Kenneth Tan

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© 2005 Springer-Verlag Berlin Heidelberg

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Singh, S., Gupta, P., Bhatia, D. (2005). On Multiparametric Sensitivity Analysis in Minimum Cost Network Flow Problem. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424925_124

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  • DOI: https://doi.org/10.1007/11424925_124

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25863-6

  • Online ISBN: 978-3-540-32309-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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