Class LargeScaleExample
This example builds a vehicle-sharing-style closed network with M queueing
stations and one Erlang transit delay per ordered station pair, giving O(M^2)
stations and, with 16 Erlang phases per delay, a fluid ODE with about 1500
state variables. At this size the monolithic stiff fluid solution (method
closing) takes several minutes, dominated by the Jacobian
factorizations, while trajectory-based iteration solves each station cell
separately against frozen inbound trajectories and completes in seconds.
M. Sheldon, D. Tuncer, G. Casale, "TBI: Transient Hierarchical Modeling of Large-Scale Vehicle Sharing Systems", IEEE Transactions on Intelligent Transportation Systems.
Each cell holds one queueing station together with its outbound transit delays, mirroring the spatial submodels of the paper.
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Constructor Summary
Constructors -
Method Summary
Modifier and TypeMethodDescriptionstatic voidTransient fluid solution of an O(M^2)-station closed network by TBI (largescale_tbi.m).static void
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Constructor Details
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LargeScaleExample
public LargeScaleExample()
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Method Details
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largescale_tbi
public static void largescale_tbi()Transient fluid solution of an O(M^2)-station closed network by TBI (largescale_tbi.m). -
main
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