?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4107%2F&rft.title=An+Extented+Sensitivity+Analysis+in+Linear+Programming+Problems&rft.creator=Inuiguchi%2C+M.&rft.creator=Wessels%2C+J.&rft.description=When+a+real+world+problem+is+formulated+as+a+linear+programming+model%2C+we+are+often+faced+with+difficulties+in+the+parameter+specification.+We+might+know+the+plausible+values+or+the+possible+ranges+of+parameters%2C+but+there+still+remains+uncertainty.+The+parameter+values+could+be+obtained+more+exactly+by+experiments%2C+investigations+and%2For+inspections.+However%2C+to+make+such+an+experiment%2C+investigation+or+inspection%2C+expenses+would+be+necessary.+Because+of+capital+limitations%2C+we+cannot+invest+in+all+possible+experiments%2C+investigations+and+inspections.+Thus%2C+we+have+a+selection+problem%2C+which+uncertainty+reduction+is+the+most+profitable.+%0D%0A%0D%0AIn+this+paper%2C+we+discuss+an+analytic+approach+to+the+problem.+Because+of+the+difficulty+of+the+global+analysis%2C+we+make+a+local+analysis+around+appropriate+values+of+parameters.+We+focus+on+giving+the+decision+maker+useful+information+for+the+selection.+First%2C+sensitivity+analyses+with+respect+to+the+uncertain+parameters+are+developed.+The+sensitivities+are+available+only+for+the+marginal+domain+without+changing+the+optimal+basis.+The+domain+is+obtained+as+an+interval.+The+difficulty+of+the+sensitivity+analysis+is+in+the+cases+of+degeneracy+and+multiplicity+of+the+optimal+solutions.+A+treatment+of+such+difficult+cases+is+proposed.+Finally%2C+a+numerical+example+is+given+for+illustrating+the+proposed+approach.&rft.publisher=WP-94-105&rft.date=1994-10&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4107%2F1%2FWP-94-105.pdf&rft.identifier=++Inuiguchi%2C+M.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1340.html%3E+%26+Wessels%2C+J.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F2510.html%3E++(1994).++An+Extented+Sensitivity+Analysis+in+Linear+Programming+Problems.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-94-105+++++