when add-on test is necessary? better diagnosis strategy?

Suppose there are two types of tests available. Test A: low-cost, but relatively less precise; Test B: high-cost, but more precise. Test B can be considered as the good standard with 100% accuracy. Suppose there are a group of patients with different sex, age, gender and races, the question is which patient should be recommended to the high-cost Test B after the initial screening with Test A. Another complexity is that the precision of Test A varies from individual to individual, affected by sex, age, gender, and races.

The literature I currently reviewed is always trying to come up with the best strategy at the population level instead of individual patient level. That is a common cutoff point for all the patients regardless of their age, gender, etc. What really interests me is to come up a personalized strategy.

Any idea which literature I should look into? Thanks. Any suggestion is appreciated.