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A Price Discrimination Modeling Using Geometric Programming

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Book cover Computational Science and Its Applications - ICCSA 2006 (ICCSA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3982))

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Abstract

This paper presents a price discrimination model which determines the product’s selling price and marketing expenditure in two markets. We assume production as a function of price and marketing cost in two states. The cost of production is also assumed to be a function of production in both markets. We propose a Multi Objective Decision Making (MODM) method called Lexicograph Approach (LA) in order to find an efficient solution between two objectives for each market. Geometric Programming is used to solve the resulted model. In our GP implementation, we use a transformed dual problem in order to reduce the model to an optimization of a nonlinear concave function subject to some linear constraints and solved the resulted model using a simple grid line search.

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References

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Author information

Authors and Affiliations

  1. Iran University of Science and Technology,  

    Seyed J. Sadjadi & M. Ziaee

Authors
  1. Seyed J. Sadjadi
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  2. M. Ziaee
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Editor information

Editors and Affiliations

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

    Marina Gavrilova

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

    Osvaldo Gervasi

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

    Vipin Kumar

  4. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

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

    David Taniar

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

    Antonio Laganá

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

    Youngsong Mun

  8. School of Information and Communication Engineering, Sungkyunkwan University, Korea

    Hyunseung Choo

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© 2006 Springer-Verlag Berlin Heidelberg

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Sadjadi, S.J., Ziaee, M. (2006). A Price Discrimination Modeling Using Geometric Programming. In: Gavrilova, M., et al. Computational Science and Its Applications - ICCSA 2006. ICCSA 2006. Lecture Notes in Computer Science, vol 3982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751595_61

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  • DOI: https://doi.org/10.1007/11751595_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34075-1

  • Online ISBN: 978-3-540-34076-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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