Similar to the centralized algorithm, all the nodes in the route which satisfies the distributed shortest path requirements become active while the other nodes remain in the sleep state.
One merit of PAC is that at any time, the backup paths (i.e., paths which satisfy a session's throughput requirement) are known by the traffic sources.
As one of the important nonlinear systems, the Lurie system can be deemed to consist of the linear forward path part, and the nonlinear feedback path part which satisfies the nonlinear bounded constraints.
In particular, we aim for numerical schemes for the committor function, the central object of transition path theory, which satisfies a high-dimensional Fokker-Planck equation.
With this index being optimized, Gauss Pseudospectral Method (GPM) is used to design the attitude path of the system, which satisfies the spacecraft maneuver requirement.
Many verification, planning, and control problems can be modeled as games played on state-transition graphs by one or two players whose conflicting goals are to form a path in the graph which satisfies a given objective.
In this level of abstraction, the length map ℓ : Path ( E ) → Z + is a functor, which satisfies the following factorization property: if λ ∈ Path ( E ) and ℓ = m + n, then there are unique μ, ν ∈ Path ( E ) such that ℓ = m, ℓ = n, and λ = μ ν.
For a new flow, if every link on its path can find a schedule for this flow which satisfies these constraints, then the flow is admitted on the network; otherwise, the flow is rejected.
In this work, we adopt the exact label matching as function f, and the shortest path distance as the distance function ({hat{d}}(cdot,cdot )), which satisfies the triangle inequality.
