{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:35:12Z","timestamp":1747190112156,"version":"3.40.5"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2019,11,15]],"date-time":"2019-11-15T00:00:00Z","timestamp":1573776000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Operations Research"],"published-print":{"date-parts":[[2019,11,15]]},"abstract":"<jats:p>In this article, we have presented a method for finding the approximate center of a linear programming polytope. This method provides a point near the center of a polytope in few simple and easy steps. Geometrical interpretation and some numerical examples have also been presented to demonstrate the proposed approach and comparison of quality of the center obtained by using the new method with existing methods of finding exact and approximate centers. At the end, we also presented computational results on the randomly generated polytopes to compare the quality of the center obtained by using the new method.<\/jats:p>","DOI":"10.1155\/2019\/8218329","type":"journal-article","created":{"date-parts":[[2019,11,15]],"date-time":"2019-11-15T20:31:11Z","timestamp":1573849871000},"page":"1-7","source":"Crossref","is-referenced-by-count":0,"title":["A New Technique for Determining Approximate Center of a Polytope"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8576-4653","authenticated-orcid":true,"given":"Syed","family":"Inayatullah","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Karachi, Karachi 75270, Pakistan"}]},{"given":"Maria","family":"Aman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Karachi, Karachi 75270, Pakistan"}]},{"given":"Asma","family":"Rani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Karachi, Karachi 75270, Pakistan"}]},{"given":"Hina","family":"Zaheer","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Karachi, Karachi 75270, Pakistan"}]},{"given":"Tanveer Ahmed","family":"Siddiqi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Karachi, Karachi 75270, Pakistan"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"2","DOI":"10.1007\/BF01204183"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.1590\/s0101-82052003000100002"},{"year":"2009","key":"4"},{"doi-asserted-by":"publisher","key":"5","DOI":"10.1080\/10556780410001722462"},{"doi-asserted-by":"publisher","key":"6","DOI":"10.1007\/bf01580724"},{"doi-asserted-by":"publisher","key":"7","DOI":"10.1287\/ijoc.1.3.159"},{"doi-asserted-by":"publisher","key":"8","DOI":"10.1007\/bf01581277"},{"volume-title":"Resolution of mathematical programming with nonlinear constraints by the method of centers","year":"1967","first-page":"207","key":"9"},{"volume-title":"An implementation of the method of analytic center","year":"1998","first-page":"297","key":"10"},{"year":"2004","key":"11"},{"year":"2008","key":"12"},{"year":"1992","key":"13"},{"doi-asserted-by":"publisher","key":"15","DOI":"10.1016\/0377-0427(89)90346-4"},{"year":"2009","key":"16"}],"container-title":["Advances in Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2019\/8218329.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2019\/8218329.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2019\/8218329.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,11,15]],"date-time":"2019-11-15T20:31:12Z","timestamp":1573849872000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/aor\/2019\/8218329\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,15]]},"references-count":14,"alternative-id":["8218329","8218329"],"URL":"https:\/\/doi.org\/10.1155\/2019\/8218329","relation":{},"ISSN":["1687-9147","1687-9155"],"issn-type":[{"type":"print","value":"1687-9147"},{"type":"electronic","value":"1687-9155"}],"subject":[],"published":{"date-parts":[[2019,11,15]]}}}