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Stochastic analysis of ordered median problems / Z. Drezner in Journal of the operational research society (JORS), Vol. 63 N° 11 (Novembre 2012) 

Public ISBD [article]  in Journal of the operational research society (JORS) > Vol. 63 N° 11 (Novembre 2012) . - pp. 1578–1588 Titre : Stochastic analysis of ordered median problems Type de document : texte imprimé Auteurs : Z. Drezner, Auteur ; S. Nickel, Auteur ; H.-P. Ziegler, Auteur Année de publication : 2012 Article en page(s) : pp. 1578–1588 Note générale : operational research Langues : Anglais (eng) Mots-clés : location;  stochastic  models;  ordered  median;  order  statistics Index. décimale : 001.424 Résumé : Many location problems can be expressed as ordered median objective. In this paper, we investigate the ordered median objective when the demand points are generated in a circle. We find the mean and variance of the kth distance from the centre of the circle and the correlation matrix between all pairs of ordered distances. By applying these values, we calculate the mean and variance of any ordered median objective and the correlation coefficient between two ordered median objectives. The usefulness of the results is demonstrated by calculating various probabilities such as: What is the probability that the mean distance is greater than the truncated mean distance? What is the probability that the maximum distance is greater than 0.9? What is the probability that the range of distances is greater than 0.8? An analysis of an illustrative example also demonstrates the usefulness of the analysis. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v63/n11/abs/jors20122a.html [article] Stochastic analysis of ordered median problems [texte imprimé] / Z. Drezner, Auteur ; S. Nickel, Auteur ; H.-P. Ziegler, Auteur . - 2012 . - pp. 1578–1588. operational research Langues : Anglais (eng) in Journal of the operational research society (JORS) > Vol. 63 N° 11 (Novembre 2012) . - pp. 1578–1588 Mots-clés : location;  stochastic  models;  ordered  median;  order  statistics Index. décimale : 001.424 Résumé : Many location problems can be expressed as ordered median objective. In this paper, we investigate the ordered median objective when the demand points are generated in a circle. We find the mean and variance of the kth distance from the centre of the circle and the correlation matrix between all pairs of ordered distances. By applying these values, we calculate the mean and variance of any ordered median objective and the correlation coefficient between two ordered median objectives. The usefulness of the results is demonstrated by calculating various probabilities such as: What is the probability that the mean distance is greater than the truncated mean distance? What is the probability that the maximum distance is greater than 0.9? What is the probability that the range of distances is greater than 0.8? An analysis of an illustrative example also demonstrates the usefulness of the analysis. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v63/n11/abs/jors20122a.html