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On the directional bias of the ℓ<sub><i>bp</i></sub>-norm

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dc.contributor.authorÜster, Haliten_US
dc.contributor.authorLove, Robert F.en_US
dc.contributor.authorMcMaster University, Michael G. DeGroote School of Businessen_US
dc.date.accessioned2014-06-17T20:37:03Z
dc.date.available2014-06-17T20:37:03Z
dc.date.created2013-12-23en_US
dc.date.issued1998-04en_US
dc.description<p>26 p. : ; Includes bibliographical references: p. 24-26. ; In the title [bp] is a subscript.</p>en_US
dc.description.abstract<p>The Weighted Sum of Order <em>p</em>, the ℓ<em><sub>bp</sub></em>-norm, is a generalization of the well-known ℓ<em><sub>p</sub></em>-norm used in predicting distances in a transportation network. The properties of the directional bias function and the unit balls for the ℓ<em><sub>bp</sub></em>-norm are of theoretical and practical interest. We investigate these properties and compare them with the properties of the ℓ<em><sub>p</sub></em>-norm's directional bias function and the unit balls. We find that the ℓ<em><sub>bp</sub></em>-norm is better at capturing the nonlinearity in a transportation network than the weighted ℓ<em><sub>p</sub></em>-norm. It is also shown that, in contrast to the weighted ℓ<em><sub>p</sub></em>-norm, where the optimal parameter <em>p</em> value is confined to the interval (1, 2), for the ℓ<em><sub>bp</sub></em>-norm the parameter <em>p</em> can have an optimal value greater than 2.</p>en_US
dc.identifier.otherdsb/32en_US
dc.identifier.other1031en_US
dc.identifier.other4944052en_US
dc.identifier.urihttp://hdl.handle.net/11375/5572
dc.relation.ispartofseriesResearch and working paper series (Michael G. DeGroote School of Business)en_US
dc.relation.ispartofseries428en_US
dc.subjectDistancesen_US
dc.subjectDirectional Biasen_US
dc.subjectTransportationen_US
dc.subjectBusinessen_US
dc.subjectBusinessen_US
dc.subject.lccDistances > Measurement > Mathematical models Transportation > Forecasting > Mathematical models Mathematical optimizationen_US
dc.titleOn the directional bias of the ℓ<sub><i>bp</i></sub>-normen_US
dc.typearticleen_US

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