{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T19:14:14Z","timestamp":1649186054302},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,2,5]],"date-time":"2015-02-05T00:00:00Z","timestamp":1423094400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2016,1]]},"DOI":"10.1007\/s11590-015-0856-9","type":"journal-article","created":{"date-parts":[[2015,2,4]],"date-time":"2015-02-04T13:34:13Z","timestamp":1423056853000},"page":"77-88","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Checking weak optimality of the solution to interval linear program in the general form"],"prefix":"10.1007","volume":"10","author":[{"given":"Wei","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pengzhen","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haohao","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,2,5]]},"reference":[{"issue":"2","key":"856_CR1","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1057\/palgrave.jors.2600891","volume":"51","author":"JW Chinneck","year":"2000","unstructured":"Chinneck, J.W., Ramadan, K.: Linear programming with interval coefficients. J. Oper. Res. Soc. 51(2), 209\u2013220 (2000)","journal-title":"J. Oper. Res. Soc."},{"key":"856_CR2","volume-title":"Linear Optimization Problems Within Exact Data","author":"M Fiedler","year":"2006","unstructured":"Fiedler, M., Nedoma, J., Ramik, J., Rohn, J., Zimmermann, K.: Linear Optimization Problems Within Exact Data. Springer, New York (2006)"},{"issue":"3","key":"856_CR3","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s10700-009-9060-7","volume":"8","author":"M Hlad\u00edk","year":"2009","unstructured":"Hlad\u00edk, M.: Optimal value range in interval linear programming. Fuzzy Optim. Decis. Mak. 8(3), 283\u2013294 (2009)","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"856_CR4","unstructured":"Hlad\u00edk, M.: Interval linear programming: a survey. In: Mann, Z.A. (ed.) Linear Programming New Frontiers, pp. 1\u201346. Nova Science Publishers Inc., New York (2012)"},{"issue":"4","key":"856_CR5","doi-asserted-by":"crossref","first-page":"549","DOI":"10.3846\/13926292.2011.628418","volume":"16","author":"W Li","year":"2011","unstructured":"Li, W., Tian, X.: Fault detection in discrete dynamic systems with uncertainty based on interval optimization. Math. Model. Anal. 16(4), 549\u2013557 (2011)","journal-title":"Math. Model. Anal."},{"key":"856_CR6","doi-asserted-by":"crossref","first-page":"3241","DOI":"10.1016\/j.laa.2013.08.013","volume":"439","author":"W Li","year":"2013","unstructured":"Li, W., Luo, J., Deng, C.: Necessary and sufficient conditions of some strong optimal solutions to the interval linear programming. Linear Algebra Appl. 439, 3241\u20133255 (2013)","journal-title":"Linear Algebra Appl."},{"key":"856_CR7","author":"M Hlad\u00edk","year":"2014","unstructured":"Hlad\u00edk, M.: On approximation of the best case optimal value in interval linear programming. Optim. Lett. (2014). doi: 10.1007\/s11590-013-0715-5","journal-title":"Optim. Lett."},{"key":"856_CR8","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1287\/moor.6.3.333","volume":"6","author":"RE Steuer","year":"1981","unstructured":"Steuer, R.E.: Algorithms for linear programming problems with interval objective function coefficients. Math. Oper. Res. 6, 333\u2013348 (1981)","journal-title":"Math. Oper. Res."},{"key":"856_CR9","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/0377-2217(90)90375-L","volume":"48","author":"H Ishibuchi","year":"1990","unstructured":"Ishibuchi, H., Tanaka, H.: Multiobjective programming in optimization of the interval objective function. Eur. J. Oper. Res. 48, 219\u2013225 (1990)","journal-title":"Eur. J. Oper. Res."},{"key":"856_CR10","first-page":"1836","volume":"3","author":"W Li","year":"2006","unstructured":"Li, W., Wang, G.: General solutions for linear programming with interval right hand side. Proc. ICMLC 3, 1836\u20131839 (2006). (in Xizhao Wang, Daniel Yeung and Xiaolong Wang eds. Dalian.)","journal-title":"Proc. ICMLC"},{"issue":"3","key":"856_CR11","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1111\/j.1475-3995.2009.00737.x","volume":"17","author":"V Gabrel","year":"2010","unstructured":"Gabrel, V., Murat, C., Remli, N.: Linear programming with interval right hand sides. Int. Trans. Oper. Res. 17(3), 397\u2013408 (2010)","journal-title":"Int. Trans. Oper. Res."},{"issue":"8","key":"856_CR12","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1007\/s11590-012-0530-4","volume":"7","author":"M Allahdadi","year":"2013","unstructured":"Allahdadi, M., Nehi, H.M.: The optimal solution set of the interval linear programming problems. Optim. Lett. 7(8), 1893\u20131911 (2013)","journal-title":"Optim. Lett."},{"issue":"1","key":"856_CR13","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1007\/s11590-012-0589-y","volume":"8","author":"M Hlad\u00edk","year":"2014","unstructured":"Hlad\u00edk, M.: How to determine basis stability in interval linear programming. Optim. Lett. 8(1), 375\u2013389 (2014)","journal-title":"Optim. Lett."},{"issue":"4","key":"856_CR14","doi-asserted-by":"crossref","first-page":"1287","DOI":"10.1007\/s11590-013-0654-1","volume":"8","author":"W Li","year":"2014","unstructured":"Li, W., Luo, J., Wang, Q., Li, Y.: Checking weak optimality of the solution to linear programming with interval right-hand side. Optim. Lett. 8(4), 1287\u20131299 (2014)","journal-title":"Optim. Lett."},{"key":"856_CR15","doi-asserted-by":"crossref","first-page":"4156","DOI":"10.1016\/j.laa.2013.02.012","volume":"438","author":"M Hlad\u00edk","year":"2013","unstructured":"Hlad\u00edk, M.: Weak and strong solvability of interval linear systems of equations and inequalities. Linear Algebra Appl. 438, 4156\u20134165 (2013)","journal-title":"Linear Algebra Appl."},{"key":"856_CR16","doi-asserted-by":"crossref","unstructured":"Li, W., Liu, X., Li, H.: Generalized solutions to interval linear programmes and related necessary and sufficient optimality conditions. Optim. Methods Softw. (2014). doi: 10.1080\/10556788.2014.940948","DOI":"10.1080\/10556788.2014.940948"},{"key":"856_CR17","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.laa.2014.08.027","volume":"463","author":"H Li","year":"2014","unstructured":"Li, H., Luo, J., Wang, Q.: Solvability and feasibility of interval linear equations and inequalities. Linear Algebra Appl. 463, 78\u201394 (2014)","journal-title":"Linear Algebra Appl."},{"issue":"1","key":"856_CR18","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/j.ejor.2008.11.008","volume":"199","author":"Oleg A Prokopyev","year":"2009","unstructured":"Prokopyev, Oleg A., Butenko, Sergiy, Trapp, Andrew C.: Checking solvability of systems of interval linear equations and inequalities via mixed integer programming. Eur. J. Oper. Res. 199(1), 117\u2013121 (2009)","journal-title":"Eur. J. Oper. Res."},{"issue":"4","key":"856_CR19","doi-asserted-by":"crossref","first-page":"1591","DOI":"10.1007\/s11590-013-0675-9","volume":"8","author":"J Rohn","year":"2014","unstructured":"Rohn, J.: A Farkas-type theorem for interval linear inequalities. Optim. Lett. 8(4), 1591\u20131598 (2014)","journal-title":"Optim. Lett."},{"key":"856_CR20","doi-asserted-by":"crossref","unstructured":"Xia, M., Li, W., Li, H.,: Farkas-type theorems for interval linear systems. Linear Multilinear Algebra (2014). doi: 10.1080\/03081087.2014.940827","DOI":"10.1080\/03081087.2014.940827"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-015-0856-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-015-0856-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-015-0856-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T17:11:41Z","timestamp":1559409101000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-015-0856-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,5]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1]]}},"alternative-id":["856"],"URL":"https:\/\/doi.org\/10.1007\/s11590-015-0856-9","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,5]]}}}