Your English writing platform
Discover LudwigExact(12)
Set rate, persistent probability, and multipliers according to (17), (18), and (19) respectively; 9.
Figure2c,d shows the evolution of rate and persistent probability with the heuristic algorithm.
Its equilibrium persistent probability depends on the maximum and minimum contention windows (CW).
In H slots, a node broadcasts HELLO messages in random time slots with persistent probability P t.
Based on the successive approximation method, we propose an algorithm that jointly controls the rate and the persistent probability of the users.
In each inner-iteration, a user uses the information ∑ j ∈ N λ j ( t ) to update its persistent probability according to (18).
Similar(44)
The persistent probabilities of all the nodes are also needed to update the user's multiplier according to (19).
1], although the persistent probabilities of two flows converge, we cannot find any step size for the convergence of the rates.
First, although the link attainable rate is typically a non-convex and non-separable function of persistent probabilities, we prove the convergence of this cross-layer algorithm to the global optimum of joint congestion control and random access algorithm under the framework of nonlinear programming.
Liu-Bai [26] proposed the concept of stochastically persistent in probability: there is a unique invariant probability measure μ such that (mu(Delta _{0})=0) and the distribution of (X t)) converges to μ as (t rightarrowinfty) whenever (X 0) inmathbb{R}_^{n}), where (Delta _{0}={ainmathbb{R}_^{n}|a_{i}=0mbox{ for some }i, 1leq ileq n}).
Consequently, the model (1.1) is also stochastically persistent in probability.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com