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**Bicriteria train scheduling for high-speed passenger railroad planning applications.**
*(English)*
Zbl 1077.90033

Summary: This paper is concerned with a double-track train scheduling problem for planning applications with multiple objectives. Focusing on a high-speed passenger rail line in an existing network, the problem is to minimize both (1) the expected waiting times for high-speed trains and (2) the total travel times of high-speed and medium-speed trains. By applying two practical priority rules, the problem with the second criterion is decomposed and formulated as a series of multi-mode resource constrained project scheduling problems in order to explicitly model acceleration and deceleration times. A branch-and-bound algorithm with effective dominance rules is developed to generate Pareto solutions for the bicriteria scheduling problem, and a beam search algorithm with utility evaluation rules is used to construct a representative set of non-dominated solutions. A case study based on Beijing-Shanghai high-speed railroad in China illustrates the methodology and compares the performance of the proposed algorithms.

### MSC:

90B35 | Deterministic scheduling theory in operations research |

90C29 | Multi-objective and goal programming |

90B06 | Transportation, logistics and supply chain management |

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\textit{X. Zhou} and \textit{M. Zhong}, Eur. J. Oper. Res. 167, No. 3, 752--771 (2005; Zbl 1077.90033)

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