Norman Daniels and James Sabin propose four criteria for judging whether a procedure for allocating scarce resources is ‘accountable for reasonableness’, i.e. conditions which ‘fair-minded people’ would agree are relevant.

N Daniels, JE Sabin 1998 " The ethics of accountability in managed care reform" Health Affairs 17 : 50-64

If  the available procedures vary in the degree to which they meet these criteria (none meeting them all perfectly) and the criteria are not of equal importance we could employ Annalisa to evaluate them. As in this hypothetical example.   Alt file here