Locating a median line segment in Euclidean space: An application snapshot

U. Aytun Öztürk, Bryan A. Norman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In wind conversion systems it is possible to reduce wiring costs of connection to the grid through a bus bar. Assuming the turbines connect directly to the bus bar, which is needed for conditioning of the power provided, one can formulate a nonlinear math program that is used to find the optimal location of the bus bar. This problem reduces to the problem of locating a median line segment with unknown length in Euclidean space but with an additional term in the objective function that ensures proximity to the power grid. There are well established algorithms developed for locating median or center lines. However, location of line segments hasn't been thoroughly studied. Algorithms capable of finding a segment center with a given length for a planar point set exist. However, the median line segment location problem has not been solved to optimality to our knowledge. This work outlines an algorithm in detail that is capable of solving such a problem and demonstrates the application for a real-life problem.

Original languageEnglish
Title of host publicationIn Memoriam Lilian Barros - Proceedings of the International Conference on Industrial Logistics, ICIL 2005
EditorsPetri Helo, Hector Cancela, Gerardo Rubino, Maria E. Urquhart
PublisherInternational Centre for Innovation and Industrial Logistics (ICIIL)
Pages153-162
Number of pages10
ISBN (Electronic)9974002745
StatePublished - 2005
Event7th International Conference on Industrial Logistics: In Memoriam Lilian Barros, ICIL 2005 - Montevideo, Uruguay
Duration: Feb 14 2005Feb 18 2005

Publication series

NameIn Memoriam Lilian Barros - Proceedings of the International Conference on Industrial Logistics, ICIL 2005

Conference

Conference7th International Conference on Industrial Logistics: In Memoriam Lilian Barros, ICIL 2005
Country/TerritoryUruguay
CityMontevideo
Period02/14/0502/18/05

Keywords

  • Location theory
  • Optimization methods
  • Wind energy

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