@dirtymike
I would tend to use a comma in (1) and omit it in (2), but the explanation would be rather lengthy.
If finding one or more alternatives is the final goal, consider using "and" rather than "in order to". .
I agree that there is a problem with (2). I think the problem is the use of "determine", which (in this context) I would probably take to mean "find out", "ascertain". Depending on what you mean exactly, perhaps something like "define", "establish", "indicate", "show".
I also suspect "criteria used when comparing the systems" would be better (or possibly just "system comparison criteria").
I am also wondering how a single system is selected as a reasonable alternative (since more than one system might meet the criteria) – and what you mean by "reasonable".