Note—The Precarious Boundary Problem

In certain classes of managerial situations violation of “fuzzy” constraints may have very serious consequences. Facing a precarious boundary, a retreat into the interior of the feasible region may seem wise. In this note we suggest a means of accomplishing this using known techniques to (i) identify the center of the feasible region, (ii) find all solutions which are within some proportion of the optimum, (iii) perform a triage on the constraints, and (iv) identify alternate operating plans based on arbitrary constraint weighting schemes.