The paper is devoted to the concept of an ideality and its derivatives: an ideal functional system and an ideal outcome. The differences between them and the scope of their practical application are studied.The current state of art in modeling and problem solving algorithms in TRIZ are also highlighted.A simple analysis-synthesis algorithm for inventive problem solving is proposed using the concept of an ideal outcome and a resource approach aimed to reducing the ideality of the result through a resource analysis of the situation. The proposed algorithm, in contrast to ARIZ, was created to solve problems with a single conflict, i.e., without related (conjugated) functions that form a contradiction of conditions. In addition to the concepts mentioned above, the algorithm relies on the “solution backwards” method and the use of element-functional modeling of conflicts (EFM.C).The paper also provides an example of analysis-synthesis for a simple production problem in order to show the mechanics of individual steps of the algorithm, as well as the entire algorithm as a whole.