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Using error bounds to compare aggregated generalized transportation models

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  • Igor Litvinchev
  • Socorro Rangel

Abstract

A comparative study of aggregation error bounds for the generalized transportation problem is presented. A priori and a posteriori error bounds were derived and a computational study was performed to (a) test the correlation between the a priori, the a posteriori, and the actual error and (b) quantify the difference of the error bounds from the actual error. Based on the results we conclude that calculating the a priori error bound can be considered as a useful strategy to select the appropriate aggregation level. The a posteriori error bound provides a good quantitative measure of the actual error. Copyright Springer Science+Business Media, LLC 2006

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  • Igor Litvinchev & Socorro Rangel, 2006. "Using error bounds to compare aggregated generalized transportation models," Annals of Operations Research, Springer, vol. 146(1), pages 119-134, September.
    • Handle: RePEc:spr:annopr:v:146:y:2006:i:1:p:119-134:10.1007/s10479-006-0051-6
    DOI: 10.1007/s10479-006-0051-6
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    Cited by:

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