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Computational investigations of maximum flow algorithms

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  • Ahuja, Ravindra K.
  • Kodialam, Murali
  • Mishra, Ajay K.
  • Orlin, James B.

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  • Ahuja, Ravindra K. & Kodialam, Murali & Mishra, Ajay K. & Orlin, James B., 1997. "Computational investigations of maximum flow algorithms," European Journal of Operational Research, Elsevier, vol. 97(3), pages 509-542, March.
    • Handle: RePEc:eee:ejores:v:97:y:1997:i:3:p:509-542
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    References listed on IDEAS

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    1. Mazzoni, Giuseppe & Pallottino, Stefano & Scutella, Maria Grazia, 1991. "The maximum flow problem: A max-preflow approach," European Journal of Operational Research, Elsevier, vol. 53(3), pages 257-278, August.
    2. Giorgio Gallo & Maria Grazia Scutellà, 1993. "Toward a Programming Environment for Combinatorial Optimization: A Case Study Oriented to Max-Flow Computations," INFORMS Journal on Computing, INFORMS, vol. 5(2), pages 120-133, May.
    3. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
    4. R. K. Ahuja & James B. Orlin, 1989. "A Fast and Simple Algorithm for the Maximum Flow Problem," Operations Research, INFORMS, vol. 37(5), pages 748-759, October.
    5. Ravindra K. Ahuja & James B. Orlin, 1991. "Distance‐directed augmenting path algorithms for maximum flow and parametric maximum flow problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 413-430, June.
    6. Ravindra K. Ahuja & James B. Orlin, 1996. "Use of Representative Operation Counts in Computational Testing of Algorithms," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 318-330, August.
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    Cited by:

    1. Xiu-Zhen Xu & Yi-Feng Niu & Qing Li, 2019. "Efficient Enumeration of - Minimal Paths in Reliability Evaluation of Multistate Networks," Complexity, Hindawi, vol. 2019, pages 1-10, March.
    2. Lee, Dongkyu & Song, Junho, 2023. "Risk-informed operation and maintenance of complex lifeline systems using parallelized multi-agent deep Q-network," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    3. Niu, Yi-Feng & Wan, Xiao-Yu & Xu, Xiu-Zhen & Ding, Dong, 2020. "Finding all multi-state minimal paths of a multi-state flow network via feasible circulations," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    4. Niu, Yi-Feng & Gao, Zi-You & Lam, William H.K., 2017. "A new efficient algorithm for finding all d-minimal cuts in multi-state networks," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 151-163.
    5. Cole Smith, J., 2004. "Algorithms for distributing telecommunication traffic on a multiple-ring SONET-based network," European Journal of Operational Research, Elsevier, vol. 154(3), pages 659-672, May.
    6. Alipour, Hossein & Muñoz, Mario Andrés & Smith-Miles, Kate, 2023. "Enhanced instance space analysis for the maximum flow problem," European Journal of Operational Research, Elsevier, vol. 304(2), pages 411-428.
    7. Sedeño-Noda, A. & González-Dávila, E. & González-Martín, C. & González-Yanes, A., 2009. "Preemptive benchmarking problem: An approach for official statistics in small areas," European Journal of Operational Research, Elsevier, vol. 196(1), pages 360-369, July.
    8. Jane, Chin-Chia & Laih, Yih-Wenn, 2010. "A dynamic bounding algorithm for approximating multi-state two-terminal reliability," European Journal of Operational Research, Elsevier, vol. 205(3), pages 625-637, September.
    9. A. Sedeño-Noda & M. González-Sierra & C. González-Martín, 2000. "An algorithmic study of the Maximum Flow problem: A comparative statistical analysis," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 8(1), pages 135-162, June.
    10. Megha Sharma & Diptesh Ghosh, 2010. "Speeding Up the Estimation of Expected Maximum Flows Through Reliable Networks," Working Papers id:2698, eSocialSciences.
    11. Lysgaard, Jens, 2006. "Reachability cuts for the vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 175(1), pages 210-223, November.
    12. Chin‐Chia Jane & Yih‐Wenn Laih, 2012. "Evaluating cost and reliability integrated performance of stochastic logistics systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(7), pages 577-586, October.
    13. Lysgaard, Jens, 2004. "Reachability cuts for the vehicle routing problem with time windows," CORAL Working Papers L-2004-01, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    14. Niu, Yi-Feng & Gao, Zi-You & Lam, William H.K., 2017. "Evaluating the reliability of a stochastic distribution network in terms of minimal cuts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 75-97.
    15. Bala G. Chandran & Dorit S. Hochbaum, 2009. "A Computational Study of the Pseudoflow and Push-Relabel Algorithms for the Maximum Flow Problem," Operations Research, INFORMS, vol. 57(2), pages 358-376, April.
    16. Niu, Yi-Feng & Lam, William H.K. & Gao, Ziyou, 2014. "An efficient algorithm for evaluating logistics network reliability subject to distribution cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 175-189.

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