Another challenge is ensuring the timely delivery of the messages themselves.
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This is wildly inefficient to the point of being untenable, given that the average number of friends per user is measured in the hundreds, and the number of concurrent users during peak site usage is on the order of several millions.
Surfacing connected users' idleness greatly enhances the chat user experience but further compounds the problem of keeping presence information up-to-date.
Note that approach (a) changes the sending a chat message / loading a Facebook page from a one-to-one communication into a multicast to all online friends, while approach (b) ensures that users who are neither chatting nor browsing Facebook are nonetheless generating server load.
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It is rather keeping each online user aware of the online-idle-offline states of their friends, so that conversations can begin.
The naive implementation of sending a notification to all friends whenever a user comes online or goes offline has a worst case cost of O(average friendlist size * peak users * churn rate) messages/second, where churn rate is the frequency with which users come online and go offline, in events/second.