?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%2F4176%2F&rft.title=An+Achievement+Rate+Approach+to+Linear+Programming+Problems+with+an+Interval+Objective+Function&rft.creator=Inuiguchi%2C+M.&rft.creator=Sakawa%2C+M.&rft.description=In+this+paper%2C+we+focus+on+a+treatment+of+a+linear+programming+problem+with+an+interval+objective+function.+From+the+viewpoint+of+the+achievement+rate%2C+a+new+solution+concept%2C+a+maximin+achievement+rate+solution+is+proposed.+Nice+properties+of+this+solution+are+shown%3A+a+maximin+achievement+rate+solution+is+necessarily+optimal+when+a+necessarily+optimal+solution+exists%2C+and+if+not%2C+then+it+is+still+a+possibly+optimal+solution.+An+algorithm+for+a+maximin+achievement+rate+solution+is+proposed+based+on+a+relaxation+procedure+together+with+a+simplex+method.+A+numerical+example+is+given+to+demonstrate+the+proposed+solution+algorithm.&rft.publisher=WP-94-033&rft.date=1994-05&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4176%2F1%2FWP-94-033.pdf&rft.identifier=++Inuiguchi%2C+M.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1340.html%3E+%26+Sakawa%2C+M.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1550.html%3E++(1994).++An+Achievement+Rate+Approach+to+Linear+Programming+Problems+with+an+Interval+Objective+Function.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-94-033+++++