Distribution of electronic messages

A method comprising:

• configuring a machine learning system to train on a plurality of messages, the machine learning system outputting an expected number of responses selected from a first set of responses to an input message and an expected number of responses selected from a second set of responses to the input message, the first set of responses being different than the second set of responses;
• solving, for a set of input messages, a multi-objective optimization problem to minimize a number of messages to send while satisfying one or more constraints, the multi-objective optimization problem including the expected number of responses selected from the first set and the expected number of responses selected from the second set;
• selecting a random value for one or more message and message recipient pairs in the set of input messages;
• setting a send constraint for one or more of the pairs using a send threshold for the message in the set and the random value;
• and
• sending the message to a recipient for the message in the set in response to the send constraint for the pair being satisfied.

A non-transitory machine-readable medium having instructions stored thereon, which, when executed by a hardware processor, cause the system to:

• configure a machine learning system to train on a plurality of messages, the machine learning system outputting an expected number of responses selected from a first set of responses to an input message and an expected number of responses selected from a second set of responses to the input message, the first set of responses being different than the second set of responses;
• solve, for a set of input messages, a multi-objective optimization problem to minimize a number of messages to send while satisfying one or more constraints, the multi-objective optimization problem including the expected number of responses selected from the first set and the expected number of responses selected from the second set;
• select a random value for one or more message and message recipient pairs in the set of input messages;
• set a send constraint for one or more of the pairs using a send threshold for the message in the set and the random value;
• and
• send the message to a recipient for the message in the set in response to the send constraint for the pair being satisfied.