IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v116y1999i3p640-652.html
   My bibliography  Save this article

A mathematical programming approach to clusterwise regression model and its extensions

Author

Listed:
  • Lau, Kin-nam
  • Leung, Pui-lam
  • Tse, Ka-kit

Abstract

No abstract is available for this item.

Suggested Citation

  • Lau, Kin-nam & Leung, Pui-lam & Tse, Ka-kit, 1999. "A mathematical programming approach to clusterwise regression model and its extensions," European Journal of Operational Research, Elsevier, vol. 116(3), pages 640-652, August.
    • Handle: RePEc:eee:ejores:v:116:y:1999:i:3:p:640-652
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(98)00052-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rubin, P. A., 1994. "A comment regarding polynomial discriminant functions," European Journal of Operational Research, Elsevier, vol. 72(1), pages 29-31, January.
    2. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    3. Wanarat, Pradit & Pavur, Robert, 1996. "Examining the effect of second-order terms in mathematical programming approaches to the classification problem," European Journal of Operational Research, Elsevier, vol. 93(3), pages 582-601, September.
    4. Wayne DeSarbo & Richard Oliver & Arvind Rangaswamy, 1989. "A simulated annealing methodology for clusterwise linear regression," Psychometrika, Springer;The Psychometric Society, vol. 54(4), pages 707-736, September.
    5. Stanfel, Larry E., 1981. "A Lagrangian treatment of certain nonlinear clustering problems," European Journal of Operational Research, Elsevier, vol. 7(2), pages 121-132, June.
    6. John M. Mulvey & Harlan P. Crowder, 1979. "Cluster Analysis: An Application of Lagrangian Relaxation," Management Science, INFORMS, vol. 25(4), pages 329-340, April.
    7. Robert E. Jensen, 1969. "A Dynamic Programming Algorithm for Cluster Analysis," Operations Research, INFORMS, vol. 17(6), pages 1034-1057, December.
    8. Stanfel, L. E., 1986. "A recursive Lagrangian method for clustering problems," European Journal of Operational Research, Elsevier, vol. 27(3), pages 332-342, December.
    9. Freed, Ned & Glover, Fred, 1981. "Simple but powerful goal programming models for discriminant problems," European Journal of Operational Research, Elsevier, vol. 7(1), pages 44-60, May.
    10. Mulvey, John M. & Beck, Michael P., 1984. "Solving capacitated clustering problems," European Journal of Operational Research, Elsevier, vol. 18(3), pages 339-348, December.
    11. Stam, Antonie, 1990. "Extensions of mathematical programming-based classification rules: A multicriteria approach," European Journal of Operational Research, Elsevier, vol. 48(3), pages 351-361, October.
    12. Lam, Kim Fung & Choo, Eng Ung & Moy, Jane W., 1996. "Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem," European Journal of Operational Research, Elsevier, vol. 88(2), pages 358-367, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Reis dos Santos, M. Isabel & Reis dos Santos, Pedro M., 2016. "Switching regression metamodels in stochastic simulation," European Journal of Operational Research, Elsevier, vol. 251(1), pages 142-147.
    2. Rainer Schlittgen, 2011. "A weighted least-squares approach to clusterwise regression," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(2), pages 205-217, June.
    3. Réal Carbonneau & Gilles Caporossi & Pierre Hansen, 2014. "Globally Optimal Clusterwise Regression By Column Generation Enhanced with Heuristics, Sequencing and Ending Subset Optimization," Journal of Classification, Springer;The Classification Society, vol. 31(2), pages 219-241, July.
    4. Carbonneau, Réal A. & Caporossi, Gilles & Hansen, Pierre, 2011. "Globally optimal clusterwise regression by mixed logical-quadratic programming," European Journal of Operational Research, Elsevier, vol. 212(1), pages 213-222, July.
    5. Lobna M. Abdellatif & Mohamed Ramadan & Sarah A. Elbakry, 2017. "How Gender Biased Are Female-Headed Household Transfers in Egypt?," Working Papers 1126, Economic Research Forum, revised 08 Oct 2017.
    6. Young Woong Park & Yan Jiang & Diego Klabjan & Loren Williams, 2017. "Algorithms for Generalized Clusterwise Linear Regression," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 301-317, May.
    7. Rahul Govind & Rabikar Chatterjee & Vikas Mittal, 2018. "Segmentation of Spatially Dependent Geographical Units: Model and Application," Management Science, INFORMS, vol. 64(4), pages 1941-1956, April.
    8. Bagirov, Adil M. & Ugon, Julien & Mirzayeva, Hijran, 2013. "Nonsmooth nonconvex optimization approach to clusterwise linear regression problems," European Journal of Operational Research, Elsevier, vol. 229(1), pages 132-142.
    9. Joki, Kaisa & Bagirov, Adil M. & Karmitsa, Napsu & Mäkelä, Marko M. & Taheri, Sona, 2020. "Clusterwise support vector linear regression," European Journal of Operational Research, Elsevier, vol. 287(1), pages 19-35.
    10. Toriello, Alejandro & Vielma, Juan Pablo, 2012. "Fitting piecewise linear continuous functions," European Journal of Operational Research, Elsevier, vol. 219(1), pages 86-95.
    11. D'Urso, Pierpaolo & Santoro, Adriana, 2006. "Fuzzy clusterwise linear regression analysis with symmetrical fuzzy output variable," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 287-313, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multicriteria classification and sorting methods: A literature review," European Journal of Operational Research, Elsevier, vol. 138(2), pages 229-246, April.
    2. Lam, Kim Fung & Moy, Jane W., 2002. "Combining discriminant methods in solving classification problems in two-group discriminant analysis," European Journal of Operational Research, Elsevier, vol. 138(2), pages 294-301, April.
    3. Mingue Sun, 2009. "Liquidity Risk and Financial Competition: A Mixed Integer Programming Model for Multiple-Class Discriminant Analysis," Working Papers 0102, College of Business, University of Texas at San Antonio.
    4. Pedro Duarte Silva, A., 2017. "Optimization approaches to Supervised Classification," European Journal of Operational Research, Elsevier, vol. 261(2), pages 772-788.
    5. Vakharia, Asoo J. & Mahajan, Jayashree, 2000. "Clustering of objects and attributes for manufacturing and marketing applications," European Journal of Operational Research, Elsevier, vol. 123(3), pages 640-651, June.
    6. Grigoroudis, Evangelos & Noel, Laurent & Galariotis, Emilios & Zopounidis, Constantin, 2021. "An ordinal regression approach for analyzing consumer preferences in the art market," European Journal of Operational Research, Elsevier, vol. 290(2), pages 718-733.
    7. Sueyoshi, Toshiyuki, 2006. "DEA-Discriminant Analysis: Methodological comparison among eight discriminant analysis approaches," European Journal of Operational Research, Elsevier, vol. 169(1), pages 247-272, February.
    8. Jacquet-Lagreze, Eric & Siskos, Yannis, 2001. "Preference disaggregation: 20 years of MCDA experience," European Journal of Operational Research, Elsevier, vol. 130(2), pages 233-245, April.
    9. Sueyoshi, Toshiyuki, 1999. "DEA-discriminant analysis in the view of goal programming," European Journal of Operational Research, Elsevier, vol. 115(3), pages 564-582, June.
    10. Sueyoshi, Toshiyuki & Goto, Mika, 2009. "DEA-DA for bankruptcy-based performance assessment: Misclassification analysis of Japanese construction industry," European Journal of Operational Research, Elsevier, vol. 199(2), pages 576-594, December.
    11. Loucopoulos, Constantine, 2001. "Three-group classification with unequal misclassification costs: a mathematical programming approach," Omega, Elsevier, vol. 29(3), pages 291-297, June.
    12. Lam, Kim Fung & Choo, Eng Ung & Moy, Jane W., 1996. "Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem," European Journal of Operational Research, Elsevier, vol. 88(2), pages 358-367, January.
    13. Sueyoshi, Toshiyuki, 2004. "Mixed integer programming approach of extended DEA-discriminant analysis," European Journal of Operational Research, Elsevier, vol. 152(1), pages 45-55, January.
    14. K F Lam, 2010. "In the determination of weight sets to compute cross-efficiency ratios in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 134-143, January.
    15. D'Alfonso, Thomas H. & Ventura, Jose A., 1995. "Assignment of tools to machines in a flexible manufacturing system," European Journal of Operational Research, Elsevier, vol. 81(1), pages 115-133, February.
    16. Mingue Sun, 2009. "Liquidity Risk and Financial Competition: A Mixed Integer Programming Model for Multiple-Class Discriminant Analysis," Working Papers 0102, College of Business, University of Texas at San Antonio.
    17. Sueyoshi, Toshiyuki, 2001. "Extended DEA-Discriminant Analysis," European Journal of Operational Research, Elsevier, vol. 131(2), pages 324-351, June.
    18. Gary Klein & Jay E. Aronson, 1991. "Optimal clustering: A model and method," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 447-461, June.
    19. Lam, Kim Fung & Moy, Jane W., 2003. "A piecewise linear programming approach to the two-group discriminant problem - an adaptation to Fisher's linear discriminant function model," European Journal of Operational Research, Elsevier, vol. 145(2), pages 471-481, March.
    20. K Falangis & J J Glen, 2010. "Heuristics for feature selection in mathematical programming discriminant analysis models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 804-812, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:116:y:1999:i:3:p:640-652. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.