Incoming chats are not allocated equally to my operators.
All chats are being allocated equally by default. If all operator have the same chat load, allocation will be random based.
There are several factors that will influence the allocation behaviour:
Chat Button Settings You can set a target operator / group for each of your chat buttons under LiveZilla Server Admin -> Link Generator -> Advanced (which may be confusing when forgotten).
Groups If you have different groups and allow your website visitor to choose, the group selection will to take precedence over the load of the operator.
Cookies Each website visitor will remember the operator he was he was initially talking to. If website visitor ABC was allocated to operator XYZ once, he will always be allocated to XYZ unless XYZ is not available.
If you want all operators to receive incoming chat requests (=no allocation), you can set this up under LiveZilla Server Admin -> Server Configuration -> Chats.