{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:55:43Z","timestamp":1757314543237,"version":"3.37.3"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2016,10,18]],"date-time":"2016-10-18T00:00:00Z","timestamp":1476748800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky (CZ)","doi-asserted-by":"publisher","award":["P402\/13-10660S"],"award-info":[{"award-number":["P402\/13-10660S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2017,10]]},"DOI":"10.1007\/s11590-016-1088-3","type":"journal-article","created":{"date-parts":[[2016,10,18]],"date-time":"2016-10-18T03:51:00Z","timestamp":1476762660000},"page":"1459-1468","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["On strong optimality of interval linear programming"],"prefix":"10.1007","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7340-8491","authenticated-orcid":false,"given":"M.","family":"Hlad\u00edk","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,10,18]]},"reference":[{"issue":"8","key":"1088_CR1","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1007\/s11590-012-0530-4","volume":"7","author":"M Allahdadi","year":"2013","unstructured":"Allahdadi, M., Mishmast Nehi, H.: The optimal solution set of the interval linear programming problems. Optim. Lett. 7(8), 1893\u20131911 (2013)","journal-title":"Optim. Lett."},{"key":"1088_CR2","volume-title":"Linear Optimization Problems with Inexact Data","author":"M Fiedler","year":"2006","unstructured":"Fiedler, M., Nedoma, J., Ram\u00edk, J., Rohn, J., Zimmermann, K.: Linear Optimization Problems with Inexact Data. Springer, New York (2006)"},{"issue":"3","key":"1088_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."},{"issue":"5","key":"1088_CR4","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1007\/s11590-011-0315-1","volume":"6","author":"M Hlad\u00edk","year":"2012","unstructured":"Hlad\u00edk, M.: Complexity of necessary efficiency in interval linear programming and multiobjective linear programming. Optim. Lett. 6(5), 893\u2013899 (2012)","journal-title":"Optim. Lett."},{"key":"1088_CR5","first-page":"85","volume-title":"Linear Programming-New Frontiers in Theory and Applications, chap. 2","author":"M Hlad\u00edk","year":"2012","unstructured":"Hlad\u00edk, M.: Interval linear programming: a survey. In: Mann, Z.A. (ed.) Linear Programming-New Frontiers in Theory and Applications, chap. 2, pp. 85\u2013120. Nova Science Publishers, New York (2012)"},{"issue":"11","key":"1088_CR6","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(11), 4156\u20134165 (2013)","journal-title":"Linear Algebra Appl."},{"issue":"1","key":"1088_CR7","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":"7","key":"1088_CR8","doi-asserted-by":"crossref","first-page":"1985","DOI":"10.1007\/s11590-013-0715-5","volume":"8","author":"M Hlad\u00edk","year":"2014","unstructured":"Hlad\u00edk, M.: On approximation of the best case optimal value in interval linear programming. Optim. Lett. 8(7), 1985\u20131997 (2014)","journal-title":"Optim. Lett."},{"key":"1088_CR9","doi-asserted-by":"publisher","unstructured":"Hlad\u00edk, M.: Robust optimal solutions in interval linear programming with forall-exists quantifiers. Eur. J. Oper. Res. (2016). doi:\n                        10.1016\/j.ejor.2016.04.032","DOI":"10.1016\/j.ejor.2016.04.032"},{"issue":"3","key":"1088_CR10","doi-asserted-by":"crossref","first-page":"914","DOI":"10.1137\/S1052623402416839","volume":"14","author":"C Jansson","year":"2004","unstructured":"Jansson, C.: Rigorous lower and upper bounds in linear programming. SIAM J. Optim. 14(3), 914\u2013935 (2004)","journal-title":"SIAM J. Optim."},{"key":"1088_CR11","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.laa.2015.06.029","volume":"484","author":"H Li","year":"2015","unstructured":"Li, H.: Necessary and sufficient conditions for unified optimality of interval linear program in the general form. Linear Algebra Appl. 484, 154\u2013174 (2015)","journal-title":"Linear Algebra Appl."},{"issue":"3","key":"1088_CR12","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1080\/10556788.2014.940948","volume":"30","author":"W Li","year":"2015","unstructured":"Li, W., Liu, X., Li, H.: Generalized solutions to interval linear programmes and related necessary and sufficient optimality conditions. Optim. Methods Softw. 30(3), 516\u2013530 (2015)","journal-title":"Optim. Methods Softw."},{"issue":"10","key":"1088_CR13","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(10), 3241\u20133255 (2013)","journal-title":"Linear Algebra Appl."},{"issue":"4","key":"1088_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."},{"issue":"8","key":"1088_CR15","doi-asserted-by":"crossref","first-page":"2479","DOI":"10.1016\/j.laa.2013.06.022","volume":"439","author":"J Luo","year":"2013","unstructured":"Luo, J., Li, W.: Strong optimal solutions of interval linear programming. Linear Algebra Appl. 439(8), 2479\u20132493 (2013)","journal-title":"Linear Algebra Appl."},{"key":"1088_CR16","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.cam.2013.09.075","volume":"260","author":"J Luo","year":"2014","unstructured":"Luo, J., Li, W., Wang, Q.: Checking strong optimality of interval linear programming with inequality constraints and nonnegative constraints. J. Comput. Appl. Math. 260, 180\u2013190 (2014)","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"1088_CR17","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s10107-003-0433-3","volume":"99","author":"A Neumaier","year":"2004","unstructured":"Neumaier, A., Shcherbina, O.: Safe bounds in linear and mixed-integer linear programming. Math. Program. 99(2), 283\u2013296 (2004)","journal-title":"Math. Program."},{"issue":"2","key":"1088_CR18","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1007\/s11750-012-0268-2","volume":"22","author":"C Oliveira","year":"2014","unstructured":"Oliveira, C., Antunes, C., Barrico, C.: An enumerative algorithm for computing all possibly optimal solutions to an interval LP. TOP 22(2), 530\u2013542 (2014)","journal-title":"TOP"},{"key":"1088_CR19","unstructured":"Rohn, J.: NP-hardness results for some linear and quadratic problems. Technical report 619, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague (1995)"},{"issue":"1\u20132","key":"1088_CR20","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1080\/03081089508818341","volume":"38","author":"J Rohn","year":"1994","unstructured":"Rohn, J., Kreslov\u00e1, J.: Linear interval inequalities. Linear Multilinear Algebra 38(1\u20132), 79\u201382 (1994)","journal-title":"Linear Multilinear Algebra"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-016-1088-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-016-1088-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-016-1088-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,9,18]],"date-time":"2017-09-18T03:10:24Z","timestamp":1505704224000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-016-1088-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,10,18]]},"references-count":20,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2017,10]]}},"alternative-id":["1088"],"URL":"https:\/\/doi.org\/10.1007\/s11590-016-1088-3","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"type":"print","value":"1862-4472"},{"type":"electronic","value":"1862-4480"}],"subject":[],"published":{"date-parts":[[2016,10,18]]}}}