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A Tree-Based Model for Setting Optimal Train Fare Zones

Author

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  • J. Alberto Conejero
  • Cristina Jordán
  • Esther Sanabria-Codesal

Abstract

Given a railway line with stops and the number of travelers between each pair of stops, we show how to split these stops into different fare zones in order to maximize the benefit obtained from the sale of tickets to the travelers. We present a method to obtain this solution that is based on finding the longest path in a weighted root tree. This method improves in terms of efficiency the combinatorial method, where all the possible distributions have to be considered for deciding which is the optimal one.

Suggested Citation

  • J. Alberto Conejero & Cristina Jordán & Esther Sanabria-Codesal, 2014. "A Tree-Based Model for Setting Optimal Train Fare Zones," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:384321
    DOI: 10.1155/2014/384321
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