LAN worlds not appearing on the server list

When I wanted to go to my brother's server through L.A.N. (local area network), no server showed up on my list.

UPDATE: by [Mojang] MissMarzenia (Aleksandra Zajac)
We are aware of this issue and the fact it is not assigned does not mean we are not fixing it. We do not assign issues in Jira to developers anymore.
This is a known issue and it is being looked into. Please comment only if you have bug relevant information and try to be respectful of other people's issues.

UPDATE AND POSSIBLE FIXES by [Mojang] MissMarzenia (Aleksandra Zajac)

• Be patient, when you open the game, wait a bit before the worlds and LAN worlds appear.
• Restart the game on both devices. Make sure it is actually turned off and on again.
• Turn off your WiFi, put the devices into Airplane Mode for 2-3 minutes
• Triple check that all devices on your network have the same version of MCPE

As you probably already noticed this bug does not occur all the time, this is why it is not easy to reproduce. I hope it will be fixed in next release.