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Letter to the Editor---The Maximum Capacity Through a Network

Author

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  • Maurice Pollack

    (Stanford Research Institute, Menlo Park, California)

Abstract

The maximum capacity route is defined to be the route between any two given cities (nodes) that allows the greatest flow. This differs from the maximum capacity problem [1] in that only the single best route is desired, in the maximum capacity problem, the object is to find the maximum flow between two nodes using as many different routes as needed. The maximum capacity route problem arises in automatic teletype networks where, for any given origin-destination pair, there is only one route specified.

Suggested Citation

  • Maurice Pollack, 1960. "Letter to the Editor---The Maximum Capacity Through a Network," Operations Research, INFORMS, vol. 8(5), pages 733-736, October.
    • Handle: RePEc:inm:oropre:v:8:y:1960:i:5:p:733-736
    DOI: 10.1287/opre.8.5.733
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    Cited by:

    1. Erhan Erkut & Armann Ingolfsson, 2000. "Catastrophe Avoidance Models for Hazardous Materials Route Planning," Transportation Science, INFORMS, vol. 34(2), pages 165-179, May.
    2. Calvete, Herminia I. & del-Pozo, Lourdes & Iranzo, José A., 2018. "Dealing with residual energy when transmitting data in energy-constrained capacitated networks," European Journal of Operational Research, Elsevier, vol. 269(2), pages 602-620.
    3. S. Ardizzoni & L. Consolini & M. Laurini & M. Locatelli, 2022. "Shortest path with acceleration constraints: complexity and approximation algorithms," Computational Optimization and Applications, Springer, vol. 83(2), pages 555-592, November.
    4. Fredrik Ljunggren & Kristian Persson & Anders Peterson & Christiane Schmidt, 2021. "Railway timetabling: a maximum bottleneck path algorithm for finding an additional train path," Public Transport, Springer, vol. 13(3), pages 597-623, October.
    5. Yingying Kang & Rajan Batta & Changhyun Kwon, 2014. "Value-at-Risk model for hazardous material transportation," Annals of Operations Research, Springer, vol. 222(1), pages 361-387, November.
    6. Tayyebi, Javad & Mitra, Ankan & Sefair, Jorge A., 2023. "The continuous maximum capacity path interdiction problem," European Journal of Operational Research, Elsevier, vol. 305(1), pages 38-52.

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