This paper firstly analyzes the technical difficulties in capacity estimation and optimization theory on wireless mesh network, and summarize the prospects in it. Based on the existing work in this area, a brief introduction to interference model and schedule model of capacity analysis problem is proposed. An optimization model is proposed based on the two models mentioned above. This paper reviews the mathematical models in capacity analysis, including programming model, information model, combinatorial optimization models and stochastic model. Evaluation metrics of capacity analysis model is proposed, and different models are evaluated by using this rule. At the end of this paper, future works of capacity analysis and optimization theory are introduced.