{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:22Z","timestamp":1740134542541,"version":"3.37.3"},"reference-count":15,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11126346","11201379","JBK130401"],"award-info":[{"award-number":["11126346","11201379","JBK130401"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11126346","11201379","JBK130401"],"award-info":[{"award-number":["11126346","11201379","JBK130401"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["11126346","11201379","JBK130401"],"award-info":[{"award-number":["11126346","11201379","JBK130401"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We consider the linear programming problem with uncertainty set described by<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>p<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>w<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>-norm. We suggest that the robust counterpart of this problem is equivalent to a computationally convex optimization problem. We provide probabilistic guarantees on the feasibility of an optimal robust solution when the uncertain coefficients obey independent and identically distributed normal distributions.<\/jats:p>","DOI":"10.1155\/2014\/209239","type":"journal-article","created":{"date-parts":[[2014,5,11]],"date-time":"2014-05-11T21:01:27Z","timestamp":1399842087000},"page":"1-7","source":"Crossref","is-referenced-by-count":0,"title":["Robust Linear Programming with Norm Uncertainty"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0264-6230","authenticated-orcid":true,"given":"Lei","family":"Wang","sequence":"first","affiliation":[{"name":"School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong","family":"Luo","sequence":"additional","affiliation":[{"name":"School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"5","key":"13","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1287\/opre.21.5.1154","volume":"21","year":"1973","journal-title":"Operation Research"},{"issue":"1","key":"3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0167-6377(99)00016-4","volume":"25","year":"1999","journal-title":"Operation Research Letters"},{"issue":"4","key":"5","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1287\/moor.23.4.769","volume":"23","year":"1998","journal-title":"Mathematics of Operations Research"},{"issue":"1","key":"9","first-page":"33","volume":"9","year":"1999","journal-title":"SIAM Journal on Optimization"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896298130"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1030.0065"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2003.12.007"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/PL00011380"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(99)00016-4"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(99)00016-4"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.02.015"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1040.0129"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-005-0678-0"},{"issue":"4","key":"14","doi-asserted-by":"crossref","first-page":"749","DOI":"10.3934\/jimo.2007.3.749","volume":"3","year":"2007","journal-title":"Journal of Industrial and Management Optimization"},{"issue":"4","key":"15","first-page":"15","volume":"16","year":"2009","journal-title":"Communications on Applied Nonlinear Analysis"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/209239.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/209239.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/209239.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T23:11:12Z","timestamp":1589238672000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/209239\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":15,"alternative-id":["209239","209239"],"URL":"https:\/\/doi.org\/10.1155\/2014\/209239","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}