Using error bounds to compare aggregated generalized transportation models

Using error bounds to compare aggregated generalized transportation models

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Article ID: iaor20071491
Country: Netherlands
Volume: 146
Issue: 1
Start Page Number: 119
End Page Number: 134
Publication Date: Sep 2006
Journal: Annals of Operations Research
Authors: ,
Keywords: programming: network
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.

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