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A risk-constrained time-dependent cash-in-transit routing problem in multigraph under uncertainty

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  • Tikani, Hamid
  • Setak, Mostafa
  • Demir, Emrah

Abstract

The Cash-in-Transit (CIT) deals with the transportation of banknotes, coins, and other valuable items. Due to the high-value density of these products, incorporating security strategies in the carrier operations is crucial. This paper proposes new CIT models involving deterministic and stochastic time-varying traffic congestion. Since risk exposure of a vehicle is proportional to the time-dependent travel time, a new formula is introduced to measure the risk of traveling. Moreover, this study covers one of the important weaknesses of previous CIT routing models by investigating the problem in multigraph networks. Multigraph representation maintains a set of non-dominated parallel arcs, which are differentiated by two attributes including travel time and robbery risk. Considering maximum allowable time duration together with a risk threshold yields to design a more balanced routing scheme. Multi-attribute parallel arcs in a stochastic time-dependent network bring high computational challenges. Herein, we introduce efficient algorithms including a novel flexible restricted Dynamic Programming and a self-adaptive caching Genetic Algorithm. The proposed algorithms are tested on both a real case study in Isfahan metropolis and generated instances. Ultimately, sensitivity analyses are conducted to assess the importance of the use of multigraph networks in the CIT and to provide significant managerial insights for administrators and practitioners.

Suggested Citation

  • Tikani, Hamid & Setak, Mostafa & Demir, Emrah, 2021. "A risk-constrained time-dependent cash-in-transit routing problem in multigraph under uncertainty," European Journal of Operational Research, Elsevier, vol. 293(2), pages 703-730.
    • Handle: RePEc:eee:ejores:v:293:y:2021:i:2:p:703-730
    DOI: 10.1016/j.ejor.2020.12.020
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    as
    1. Ehmke, Jan Fabian & Campbell, Ann Melissa & Thomas, Barrett W., 2016. "Vehicle routing to minimize time-dependent emissions in urban areas," European Journal of Operational Research, Elsevier, vol. 251(2), pages 478-494.
    2. Tao Zhang & W. Art Chaovalitwongse & Yuejie Zhang, 2014. "Integrated Ant Colony and Tabu Search approach for time dependent vehicle routing problems with simultaneous pickup and delivery," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 288-309, July.
    3. Malandraki, Chryssi & Dial, Robert B., 1996. "A restricted dynamic programming heuristic algorithm for the time dependent traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 90(1), pages 45-55, April.
    4. Garaix, Thierry & Artigues, Christian & Feillet, Dominique & Josselin, Didier, 2010. "Vehicle routing problems with alternative paths: An application to on-demand transportation," European Journal of Operational Research, Elsevier, vol. 204(1), pages 62-75, July.
    5. Zhalechian, M. & Tavakkoli-Moghaddam, R. & Zahiri, B. & Mohammadi, M., 2016. "Sustainable design of a closed-loop location-routing-inventory supply chain network under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 182-214.
    6. Kumar, Anand & Roy, Debjit & Verter, Vedat & Sharma, Dheeraj, 2018. "Integrated fleet mix and routing decision for hazmat transportation: A developing country perspective," European Journal of Operational Research, Elsevier, vol. 264(1), pages 225-238.
    7. Ehmke, Jan Fabian & Campbell, Ann M. & Thomas, Barrett W., 2018. "Optimizing for total costs in vehicle routing in urban areas," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 242-265.
    8. Soriano, Adria & Vidal, Thibaut & Gansterer, Margaretha & Doerner, Karl, 2020. "The vehicle routing problem with arrival time diversification on a multigraph," European Journal of Operational Research, Elsevier, vol. 286(2), pages 564-575.
    9. Lai, David S.W. & Caliskan Demirag, Ozgun & Leung, Janny M.Y., 2016. "A tabu search heuristic for the heterogeneous vehicle routing problem on a multigraph," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 32-52.
    10. Talarico, Luca & Sörensen, Kenneth & Springael, Johan, 2015. "Metaheuristics for the risk-constrained cash-in-transit vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 244(2), pages 457-470.
    11. Hoogeboom, Maaike & Dullaert, Wout, 2019. "Vehicle routing with arrival time diversification," European Journal of Operational Research, Elsevier, vol. 275(1), pages 93-107.
    12. Khee Giap Tan & Isaac Yang En Tan & Yanjiang Zhang & Sky Jun Jie Chua, 2020. "Findings on Cost of Living for Expatriates," World Scientific Book Chapters, in: 2018 Annual Indices for Expatriates and Ordinary Residents on Cost of Living, Wages and Purchasing Power for World’s Major Cities, chapter 4, pages 75-185, World Scientific Publishing Co. Pte. Ltd..
    13. Chryssi Malandraki & Mark S. Daskin, 1992. "Time Dependent Vehicle Routing Problems: Formulations, Properties and Heuristic Algorithms," Transportation Science, INFORMS, vol. 26(3), pages 185-200, August.
    14. Andres Figliozzi, Miguel, 2012. "The time dependent vehicle routing problem with time windows: Benchmark problems, an efficient solution algorithm, and solution characteristics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 616-636.
    15. Qian, Jiani & Eglese, Richard, 2016. "Fuel emissions optimization in vehicle routing problems with time-varying speeds," European Journal of Operational Research, Elsevier, vol. 248(3), pages 840-848.
    16. Huang, Yixiao & Zhao, Lei & Van Woensel, Tom & Gross, Jean-Philippe, 2017. "Time-dependent vehicle routing problem with path flexibility," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 169-195.
    17. Xiao, Yiyong & Konak, Abdullah, 2016. "The heterogeneous green vehicle routing and scheduling problem with time-varying traffic congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 146-166.
    18. Franceschetti, Anna & Demir, Emrah & Honhon, Dorothée & Van Woensel, Tom & Laporte, Gilbert & Stobbe, Mark, 2017. "A metaheuristic for the time-dependent pollution-routing problem," European Journal of Operational Research, Elsevier, vol. 259(3), pages 972-991.
    19. Behnke, Martin & Kirschstein, Thomas, 2017. "The impact of path selection on GHG emissions in city logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 320-336.
    20. Ichoua, Soumia & Gendreau, Michel & Potvin, Jean-Yves, 2003. "Vehicle dispatching with time-dependent travel times," European Journal of Operational Research, Elsevier, vol. 144(2), pages 379-396, January.
    21. Ghaderi, Abdolsalam & Burdett, Robert L., 2019. "An integrated location and routing approach for transporting hazardous materials in a bi-modal transportation network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 49-65.
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