Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/5572
Full metadata record
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 |
Files in This Item:
File | Size | Format | |
---|---|---|---|
fulltext.pdf | 655.6 kB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.