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Exact algorithms on reliable routing problems under uncertain topology using aggregation techniques for exponentially many scenarios

Author

Listed:
  • Zhouchun Huang

    (University of Central Florida)

  • Qipeng P. Zheng

    (University of Central Florida)

  • Eduardo L. Pasiliao

    (Air Force Research Laboratory)

  • Daniel Simmons

    (West Virginia University)

Abstract

Network routing problems are often modeled with the assumption that the network structure is deterministic, though they are often subject to uncertainty in many real-life scenarios. In this paper, we study the traveling salesman and the shortest path problems with uncertain topologies modeled by arc failures. We present the formulations that incorporate chance constraints to ensure reliability of the selected route considering all arc failure scenarios. Due to the computational complexity and large scales of these stochastic network optimization problems, we consider two cutting plane methods and a Benders decomposition algorithm to respectively solve them. We also consider to solve the reformulations of the problems obtained by taking the logarithm transformation of the chance constraints. Numerical experiments are performed to obtain results for comparisons among these proposed methods.

Suggested Citation

  • Zhouchun Huang & Qipeng P. Zheng & Eduardo L. Pasiliao & Daniel Simmons, 2017. "Exact algorithms on reliable routing problems under uncertain topology using aggregation techniques for exponentially many scenarios," Annals of Operations Research, Springer, vol. 249(1), pages 141-162, February.
    • Handle: RePEc:spr:annopr:v:249:y:2017:i:1:d:10.1007_s10479-016-2244-y
    DOI: 10.1007/s10479-016-2244-y
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    References listed on IDEAS

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    1. Shabbir Ahmed & Dimitri J. Papageorgiou, 2013. "Probabilistic Set Covering with Correlations," Operations Research, INFORMS, vol. 61(2), pages 438-452, April.
    2. Patrick Jaillet, 1988. "A Priori Solution of a Traveling Salesman Problem in Which a Random Subset of the Customers Are Visited," Operations Research, INFORMS, vol. 36(6), pages 929-936, December.
    3. Patrizia Beraldi & Andrzej Ruszczyński, 2002. "The Probabilistic Set-Covering Problem," Operations Research, INFORMS, vol. 50(6), pages 956-967, December.
    4. Gilbert Laporte & François V. Louveaux & Hélène Mercure, 1994. "A Priori Optimization of the Probabilistic Traveling Salesman Problem," Operations Research, INFORMS, vol. 42(3), pages 543-549, June.
    5. C. Elliott Sigal & A. Alan B. Pritsker & James J. Solberg, 1980. "The Stochastic Shortest Route Problem," Operations Research, INFORMS, vol. 28(5), pages 1122-1129, October.
    6. Qipeng P. Zheng & Siqian Shen & Yuhui Shi, 2015. "Loss-constrained minimum cost flow under arc failure uncertainty with applications in risk-aware kidney exchange," IISE Transactions, Taylor & Francis Journals, vol. 47(9), pages 961-977, September.
    7. Oded Berman & David Simchi-Levi, 1989. "The Traveling Salesman Location Problem on Stochastic Networks," Transportation Science, INFORMS, vol. 23(1), pages 54-57, February.
    8. G Laporte, 2010. "A concise guide to the Traveling Salesman Problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 35-40, January.
    9. Nie, Yu (Marco) & Wu, Xing, 2009. "Shortest path problem considering on-time arrival probability," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 597-613, July.
    10. Patrizia Beraldi & Maria Bruni, 2010. "An exact approach for solving integer problems under probabilistic constraints with random technology matrix," Annals of Operations Research, Springer, vol. 177(1), pages 127-137, June.
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    Cited by:

    1. Zhouchun Huang & Qipeng Phil Zheng & Eduardo Pasiliao & Vladimir Boginski & Tao Zhang, 2019. "A cutting plane method for risk-constrained traveling salesman problem with random arc costs," Journal of Global Optimization, Springer, vol. 74(4), pages 839-859, August.
    2. B. Madhu Rao & Petros Xanthopoulos & Qipeng Phil Zheng, 2020. "Case Article—DeLand Crayon Company: An Application of the Traveling Salesman Problem to Production Scheduling with Sequence-Dependent Setup Times," INFORMS Transactions on Education, INFORMS, vol. 20(2), pages 93-98, January.
    3. Sahitya Elluru & Hardik Gupta & Harpreet Kaur & Surya Prakash Singh, 2019. "Proactive and reactive models for disaster resilient supply chain," Annals of Operations Research, Springer, vol. 283(1), pages 199-224, December.

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