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Briefträgerproblem: Konstruktionsverfahren und Nachbarschaftssuche

Briefträgerproblem: Konstruktionsverfahren und Nachbarschaftssuche

          
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About the Book

Studienarbeit aus dem Jahr 2003 im Fachbereich BWL - Unternehmensforschung, Operations Research, Note: 1,7, FernUniversität Hagen (FB WiWi, insbes. Operations Research), Veranstaltung: Seminar: Intelligente Strategien in Theorie und Praxis, 29/30 Jan. 2004 in Hagen, Sprache: Deutsch, Abstract: Zusammenfassung / Abstract Das Briefträgerproblem wurde 1962 erstmals von dem chinesischen Mathematiker Mei-Ko Kwan formuliert und ist dem Bereich kombinatorischer Optimierungsprobleme zuzuordnen. Der Briefträger muß in einem bestimmten Gebiet die Post für nahezu alle Haushalte verteilen. Um dies zu erreichen müssen alle Straßen oder Wege innerhalb seines Gebietes mindestens einmal durchlaufen werden. Start- und Endpunkt der Tour ist das Postamt. Gesucht ist eine Rundreise auf der jede Straße oder jeder Weg genau einmal durchlaufen wird, da dies eine kostenminimale Tour darstellt. Eine solche Tour ist aber nicht immer gegeben. In einem solchen Fall muß der Briefträger bereits abgearbeitete Teilstrecken erneut durchlaufen. Die Optimierungsaufgabe besteht darin, die Kosten dieser unproduktiven Teilstrecken zu minimieren. In bezug auf das zugrundeliegende Straßen- bzw. Wegenetz ergibt sich eine Dreiteilung des Briefträgerproblems. Es können zum Beispiel nur Straßen oder Wege vorliegen die frei in beide Richtungen passierbar sind. Ebenfalls können auch nur Einbahnstraßen vorhanden sein, oder es kann ein Mix aus beiden gegeben sein. Die ersten beiden Varianten sind gut mit exakten Algorithmen aus dem Bereich der Graphentheorie zu lösen. Bei einem Mix aus frei passierbaren Straßen und Einbahnstraßen stoßen diese Verfahren jedoch an ihre Grenzen. Für die Lösung dieser Problemausprägung sind sogenannte Meta-Heuristiken gut geeignet. Diese Methoden können selbstverständlich auch auf die beiden zuerst genannten Problemformulierungen anwendet werden. Sowohl Lösungsansätze unter Verwendung von Meta-Heuristiken als auch durch Zuhilfenahme klassischer Methoden der Graphentheorie werde


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Product Details
  • ISBN-13: 9783640865208
  • Publisher: Grin Publishing
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 4 mm
  • Weight: 104 gr
  • ISBN-10: 3640865200
  • Publisher Date: 15 Mar 2011
  • Height: 210 mm
  • No of Pages: 70
  • Series Title: German
  • Sub Title: Konstruktionsverfahren und Nachbarschaftssuche
  • Width: 148 mm


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