Predicting visual search behavior in human-computer interaction is a challenging problem. It is important for predictive modeling of human-computer interaction to integrate the visual search strategies identified in individual models in order to predict users' visual interaction with a variety of complex, real-world layouts. Individual research efforts have done well in developing models that predict users' visual search behavior for a single well-defined task. Considering the large variety of visual layouts users can encounter, many visual search strategies can come into play during visual search. This dissertation investigates principles for integrating strategies of visual search. These principles will be used to integrate four models of visual search from HCI literature. Keywords Cognitive modeling, model integration, visual search ACM Classification Keywords H.5.2. [Information interfaces and presentation (e.g., HCI)]: User Interfaces--evaluation/methodology,