What size should my public Lightning Network Payment Channels be?

zerofeerouting asked on twitter what size I recommend for payment channels. I don't know a good answer but strongly suggest to think about Service level Objectives, Bernoulli trials and the probabilistic payment model so I might have a few thoughts about this that do not fit in a single tweet. Thus I thought I spontaneously record this video which I hope will be helpful for people.

original tweet: https://twitter.com/zerofeerouting/status/1504727937496539161

Probabilistic path finding paper:
https://arxiv.org/abs/2103.08576

Optimally reliable payment flow paper:
https://arxiv.org/abs/2107.05322

Efficient sub second run time approximation:
https://github.com/renepickhardt/mpp-splitter/blob/master/Minimal Linearized min cost flow example for MPP.ipynb

Last Mile Problem:
https://en.wikipedia.org/wiki/Last_mile

Service level Objective:
https://en.wikipedia.org/wiki/Service-level_objective

Bernoulli trials:
https://en.wikipedia.org/wiki/Bernoulli_trial

Probability Theory:
https://en.wikipedia.org/wiki/Probability_theory

I will appreciate the kindness if you leave a tip at https://donate.ln.rene-pickhardt.de or become a regular patreon of my work over at https://www.patreon.com/renepickhardt

Thanks to NTNU and BitMEX and all the people who support my work!


My web site: https://www.rene-pickhardt.de and Twitter: https://twitter.com/renepickhardt as well as my lightning node: https://ln.rene-pickhardt.de