In this paper, the leader-follower architecture is constructed by
combining intermittent-influence leaders with a signed social network.
Unlike a typical network with leaders where leaders are supposed to
continuously influence followers, in this article, the leaders
intermittently influence followers. Furthermore, the number of
influences is limited. We focus on how intermittent-influence leaders
impact the evolution of followers' opinions. The relationship between
followers' opinions and the number of leader broadcasts is analyzed in
detail. Then, the number of broadcasts is regarded as the cost, and the
changing trend of the revenue per broadcast is obtained. The results
show that as the number of broadcasts increases, the revenue per
broadcast decreases gradually. Finally, the concept of assimilation is
introduced to weigh the costs and benefits, and the minimum number of
broadcasts required for the leader to assimilate the followers is
derived. Two examples are given to demonstrate the validity of the main
conclusions.