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

Üster, Halit; Love, Robert F.; McMaster University, Michael G. DeGroote School of Business

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/5572

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DC Field	Value	Language
dc.contributor.author	Üster, Halit	en_US
dc.contributor.author	Love, Robert F.	en_US
dc.contributor.author	McMaster University, Michael G. DeGroote School of Business	en_US
dc.date.accessioned	2014-06-17T20:37:03Z	-
dc.date.available	2014-06-17T20:37:03Z	-
dc.date.created	2013-12-23	en_US
dc.date.issued	1998-04	en_US
dc.identifier.other	dsb/32	en_US
dc.identifier.other	1031	en_US
dc.identifier.other	4944052	en_US
dc.identifier.uri	http://hdl.handle.net/11375/5572	-
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.relation.ispartofseries	Research and working paper series (Michael G. DeGroote School of Business)	en_US
dc.relation.ispartofseries	428	en_US
dc.subject	Distances	en_US
dc.subject	Directional Bias	en_US
dc.subject	Transportation	en_US
dc.subject	Business	en_US
dc.subject	Business	en_US
dc.subject.lcc	Distances > Measurement > Mathematical models Transportation > Forecasting > Mathematical models Mathematical optimization	en_US
dc.title	On the directional bias of the ℓ<sub><i>bp</i></sub>-norm	en_US
dc.type	article	en_US
Appears in Collections:	DeGroote School of Business Working Paper Series

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