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|Title:||Application of weighted sums of order <i>p</i> to distance estimation|
Love, Robert F.
McMaster University, Michael G. DeGroote School of Business
|Series/Report no.:||Research and working paper series (Michael G. DeGroote School of Business)|
|Abstract:||<p>Distance functions are employed to estimate actual distances in a transportation network. The ℓ<em><sub>bp</sub></em>-norm, which is a weighted sum of order <em>p</em>, is a generalization of the weighted ℓ<em><sub>p</sub></em>-norm, a well-known distance predicting function. We derive some mathematical properties of the new norm and of a goodness-of-fit criterion. These properties are used to develop computational procedures to determine the best-fitting parameter values of the ℓ<em><sub>bp</sub></em>-norm for a transportation network. We apply the new norm to seventeen geographic regions and find significant improvements in the accuracy of distance estimations over the weighted ℓ<em><sub>p</sub></em>-norm.</p>|
|Description:||<p>29 p. : ; Includes bibliographical references (p. 27-29). ; "April, 1998".</p>|
|Appears in Collections:||DeGroote School of Business Working Paper Series|
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