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The off-line group seat reservation problem

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  • Clausen, Tommy
  • Hjorth, Allan Nordlunde
  • Nielsen, Morten
  • Pisinger, David

Abstract

In this paper we address the problem of assigning seats in a train for a group of people traveling together. We consider two variants of the problem. One is a special case of two-dimensional knapsack where we consider the train as having fixed size and the objective is to maximize the utilization of the seats in the train. The second is a special case of two-dimensional bin packing where all requests must be accommodated while trying to minimize the number of passenger cars needed. For both variants of the problem we present a number of bounds and develop exact algorithms. Computational results are presented for various instances based on realistic data, and from the packing literature adapted to the problems addressed.

Suggested Citation

  • Clausen, Tommy & Hjorth, Allan Nordlunde & Nielsen, Morten & Pisinger, David, 2010. "The off-line group seat reservation problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1244-1253, December.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:3:p:1244-1253
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    References listed on IDEAS

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    Cited by:

    1. Karsten Weicker, 2023. "Optimisation of seat reservations on trains to minimise transfer distances," Operational Research, Springer, vol. 23(3), pages 1-31, September.
    2. Haque, Md Tabish & Hamid, Faiz, 2023. "Social distancing and revenue management—A post-pandemic adaptation for railways," Omega, Elsevier, vol. 114(C).
    3. Cerqueus, Audrey & Przybylski, Anthony & Gandibleux, Xavier, 2015. "Surrogate upper bound sets for bi-objective bi-dimensional binary knapsack problems," European Journal of Operational Research, Elsevier, vol. 244(2), pages 417-433.

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