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An O(nlogn/logw) Time Algorithm for Ridesharing

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  • Yijie Han
  • Chen Sun

Abstract

In the ridesharing problem different people share private vehicles because they have similar itineraries. The objective of solving the ridesharing problem is to minimize the number of drivers needed to carry all load to the destination. The general case of ridesharing problem is NP-complete. For the special case where the network is a chain and the destination is the leftmost vertex of the chain, we present an O(nlogn/logw) time algorithm for the ridesharing problem, where w is the word length used in the algorithm and is at least logn. Previous achieved algorithm for this case requires O(nlogn) time.

Suggested Citation

  • Yijie Han & Chen Sun, 2021. "An O(nlogn/logw) Time Algorithm for Ridesharing," Computer and Information Science, Canadian Center of Science and Education, vol. 14(1), pages 1-8, February.
    • Handle: RePEc:ibn:cisjnl:v:14:y:2021:i:1:p:8
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    References listed on IDEAS

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    1. Roberto Baldacci & Vittorio Maniezzo & Aristide Mingozzi, 2004. "An Exact Method for the Car Pooling Problem Based on Lagrangean Column Generation," Operations Research, INFORMS, vol. 52(3), pages 422-439, June.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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