This study recapitulates research efforts that have addressed the restricted problem of greenhouse climate management. This problem is first analyzed by looking at the current working method of the grower and the characteristics of this management task. The different attempts to automate parts of management problem are presented. The systems and methods considered use problem solving techniques from either artificial intelligence or control theory. Advantages and drawbacks of both classes of problem solving approaches are pointed out. The surveyed papers show that most efforts have been directed towards an assessment of the applicability of particular problem solving techniques. Unfortunately, most systems have not been validated under circumstances that are comparable with those of a commercial grower.