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Time-dependent rural postman problem: time-space network formulation and genetic algorithm

Author

Listed:
  • Jianbin Xin

    (Zhengzhou University)

  • Benyang Yu

    (Zhengzhou University)

  • Andrea D’Ariano

    (Università Degli Studi Roma Tre)

  • Heshan Wang

    (Zhengzhou University)

  • Meng Wang

    (Delft University of Technology)

Abstract

In this paper, a new time-space network model is proposed for addressing the time-dependent rural postman problem (TDRPP) of a single vehicle. The proposed model follows the idea of arc-path alternation to form a feasible and complete route. Based on the proposed model, the time dependency of the TDRPP is better described to capture its dynamic process, compared to the existing methods using a piecewise constant function with limited intervals. Furthermore, the property of first-in-first-out (FIFO) can be satisfied with the time spent on each arc. We investigate the FIFO property for the considered time-dependent network and key optimality property for the TDRPP. Based on this property, a dedicated genetic algorithm (GA) is proposed to efficiently solve the considered TDRPP that suffers from computational intractability for large-scale cases. Comprehensive simulation experiments are conducted for various time-dependent networks to show the effectiveness of the proposed GA.

Suggested Citation

  • Jianbin Xin & Benyang Yu & Andrea D’Ariano & Heshan Wang & Meng Wang, 2022. "Time-dependent rural postman problem: time-space network formulation and genetic algorithm," Operational Research, Springer, vol. 22(3), pages 2943-2972, July.
    • Handle: RePEc:spr:operea:v:22:y:2022:i:3:d:10.1007_s12351-021-00639-0
    DOI: 10.1007/s12351-021-00639-0
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    1. Juan Irving Vasquez & Emmanuel Alejandro Merchán-Cruz, 2022. "A Divide and Conquer Strategy for Sweeping Coverage Path Planning," Energies, MDPI, vol. 15(21), pages 1-15, October.

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