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Integral analysis method - IAM

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  • García Cáceres, Rafael Guillermo
  • Aráoz Durand, Julián Arturo
  • Gómez, Fernando Palacios
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    Abstract

    This paper presents the theoretical foundations of the new integral analysis method (IAM), and its application to a facility location problem. This methodology integrates the cardinal and ordinal criteria of combinatorial stochastic optimization problems in four stages: definition of the problem, cardinal analysis, ordinal analysis and integration analysis. The method uses the concepts of stochastic multicriteria acceptability analysis (SMAA), Monte Carlo simulation, optimization techniques and elements of probability. The proposed method (IAM) was used to determine optimal locations for the retail stores of a Colombian coffee marketing company.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 3 (February)
    Pages: 891-903

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:891-903

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Multiple criteria analysis Multiple objective programming Combinatorial optimization Simulation Integral analysis method;

    References

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    2. Paulo Guimaraes & Octavio Figueiredo & Douglas Woodward, 2000. "A tractable approach to the firm location decision problem," NIMA Working Papers 2, Núcleo de Investigação em Microeconomia Aplicada (NIMA), Universidade do Minho.
    3. Sergio Torres Valdivieso & Rafael Guillermo García Cáceres & John Jairo Quintero, 2005. "Formas de contratación de los servicios de urgencias: una aproximación desde la economía de los costos de transacción," Revista de Economía Institucional, Universidad Externado de Colombia - Facultad de Economía, vol. 7(12), pages 209-237, January-J.
    4. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    5. Lahdelma, Risto & Salminen, Pekka, 2006. "Stochastic multicriteria acceptability analysis using the data envelopment model," European Journal of Operational Research, Elsevier, vol. 170(1), pages 241-252, April.
    6. Rietveld, Piet & Ouwersloot, Hans, 1992. "Ordinal data in multicriteria decision making, a stochastic dominance approach to siting nuclear power plants," European Journal of Operational Research, Elsevier, vol. 56(2), pages 249-262, January.
    7. Lahdelma, Risto & Makkonen, Simo & Salminen, Pekka, 2006. "Multivariate Gaussian criteria in SMAA," European Journal of Operational Research, Elsevier, vol. 170(3), pages 957-970, May.
    8. Tervonen, Tommi & Lahdelma, Risto, 2007. "Implementing stochastic multicriteria acceptability analysis," European Journal of Operational Research, Elsevier, vol. 178(2), pages 500-513, April.
    9. Lahdelma, Risto & Salminen, Pekka & Hokkanen, Joonas, 2002. "Locating a waste treatment facility by using stochastic multicriteria acceptability analysis with ordinal criteria," European Journal of Operational Research, Elsevier, vol. 142(2), pages 345-356, October.
    10. Beamon, Benita M., 1998. "Supply chain design and analysis:: Models and methods," International Journal of Production Economics, Elsevier, vol. 55(3), pages 281-294, August.
    11. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    12. Lahdelma, Risto & Salminen, Pekka, 2006. "Classifying efficient alternatives in SMAA using cross confidence factors," European Journal of Operational Research, Elsevier, vol. 170(1), pages 228-240, April.
    13. Lahdelma, Risto & Hokkanen, Joonas & Salminen, Pekka, 1998. "SMAA - Stochastic multiobjective acceptability analysis," European Journal of Operational Research, Elsevier, vol. 106(1), pages 137-143, April.
    14. Vidal, Carlos J. & Goetschalckx, Marc, 1997. "Strategic production-distribution models: A critical review with emphasis on global supply chain models," European Journal of Operational Research, Elsevier, vol. 98(1), pages 1-18, April.
    15. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    16. Miettinen, Kaisa & Salminen, Pekka, 1999. "Decision-aid for discrete multiple criteria decision making problems with imprecise data," European Journal of Operational Research, Elsevier, vol. 119(1), pages 50-60, November.
    17. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    18. Durbach, Ian, 2006. "A simulation-based test of stochastic multicriteria acceptability analysis using achievement functions," European Journal of Operational Research, Elsevier, vol. 170(3), pages 923-934, May.
    19. Lahdelma, Risto & Miettinen, Kaisa & Salminen, Pekka, 2003. "Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA)," European Journal of Operational Research, Elsevier, vol. 147(1), pages 117-127, May.
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