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Modeling Network Transition Constraints with Hypergraphs

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  • Steven Harrod

    (Department of Management Information Systems, Operations Management, and Decision Sciences, University of Dayton, Dayton, Ohio 45469)

Abstract

Discrete time dynamic graphs are frequently used to model multicommodity flows or activity paths through constrained resources, but simple graphs fail to capture the interaction effects of resource transitions. The resulting schedules are not operationally feasible, and return inflated objective values. A directed hypergraph formulation is derived to address railway network sequencing constraints, and an experimental problem sample solved to estimate the magnitude of objective inflation when interaction effects are ignored. The model is used to demonstrate the value of advance scheduling of train paths on a busy North American railway.

Suggested Citation

  • Steven Harrod, 2011. "Modeling Network Transition Constraints with Hypergraphs," Transportation Science, INFORMS, vol. 45(1), pages 81-97, February.
    • Handle: RePEc:inm:ortrsc:v:45:y:2011:i:1:p:81-97
    DOI: 10.1287/trsc.1100.0337
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