Open AccessNote—The Precarious Boundary Problem
Author(s) -
T. H. Mattheiss
Publication year - 1976
Publication title -
management science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.954
H-Index - 255
eISSN - 1526-5501
pISSN - 0025-1909
DOI - 10.1287/mnsc.22.10.1159
Subject(s) - weighting , boundary (topology) , constraint (computer aided design) , operations research , computer science , mathematical optimization , fuzzy logic , triage , mathematical economics , mathematics , artificial intelligence , psychology , medicine , mathematical analysis , geometry , psychiatry , radiology
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.