{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T07:13:08Z","timestamp":1776928388406,"version":"3.51.2"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,8,29]],"date-time":"2018-08-29T00:00:00Z","timestamp":1535500800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura C(esk\u00e9 Republiky","doi-asserted-by":"publisher","award":["P403-18-04735S"],"award-info":[{"award-number":["P403-18-04735S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura C(esk\u00e9 Republiky","doi-asserted-by":"publisher","award":["P403-18-04735S"],"award-info":[{"award-number":["P403-18-04735S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura C(esk\u00e9 Republiky","doi-asserted-by":"publisher","award":["P403-17-13086S"],"award-info":[{"award-number":["P403-17-13086S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007543","name":"Grantov\u00e1 Agentura, Univerzita Karlova","doi-asserted-by":"publisher","award":["156317"],"award-info":[{"award-number":["156317"]}],"id":[{"id":"10.13039\/100007543","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007543","name":"Grantov\u00e1 Agentura, Univerzita Karlova","doi-asserted-by":"publisher","award":["156317"],"award-info":[{"award-number":["156317"]}],"id":[{"id":"10.13039\/100007543","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cent Eur J Oper Res"],"published-print":{"date-parts":[[2019,9]]},"DOI":"10.1007\/s10100-018-0580-5","type":"journal-article","created":{"date-parts":[[2018,8,29]],"date-time":"2018-08-29T22:16:30Z","timestamp":1535580990000},"page":"601-614","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Interval linear programming under transformations: optimal solutions and optimal value range"],"prefix":"10.1007","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3052-5970","authenticated-orcid":false,"given":"Elif","family":"Garajov\u00e1","sequence":"first","affiliation":[]},{"given":"Milan","family":"Hlad\u00edk","sequence":"additional","affiliation":[]},{"given":"Miroslav","family":"Rada","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,8,29]]},"reference":[{"issue":"8","key":"580_CR1","doi-asserted-by":"publisher","first-page":"1893","DOI":"10.1007\/s11590-012-0530-4","volume":"7","author":"M Allahdadi","year":"2012","unstructured":"Allahdadi M, Nehi HM (2012) The optimal solution set of the interval linear programming problems. Optim Lett 7(8):1893\u20131911. \n                    https:\/\/doi.org\/10.1007\/s11590-012-0530-4","journal-title":"Optim Lett"},{"key":"580_CR2","doi-asserted-by":"publisher","unstructured":"Cerulli R, D\u2019Ambrosio C, Gentili M (2017) Best and worst values of the optimal cost of the interval transportation problem. In: Sforza A, Sterle C (eds) Optimization and decision science: methodologies and applications: ODS, Sorrento, Italy, September 4\u20137, 2017, Springer International Publishing, Cham, pp 367\u2013374. \n                    https:\/\/doi.org\/10.1007\/978-3-319-67308-0_37","DOI":"10.1007\/978-3-319-67308-0_37"},{"issue":"4","key":"580_CR3","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1109\/TSMCB.2002.1018760","volume":"32","author":"S Chanas","year":"2002","unstructured":"Chanas S, Dubois D, Zielinski P (2002) On the sure criticality of tasks in activity networks with imprecise durations. IEEE Trans Syst Man Cybern B Cybern 32(4):393\u2013407. \n                    https:\/\/doi.org\/10.1109\/TSMCB.2002.1018760","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"580_CR4","doi-asserted-by":"publisher","unstructured":"Cheng G, Huang G, Dong C (2015) Convex contractive interval linear programming for resources and environmental systems management. Stoch Environ Res Risk Assess 1\u201320. \n                    https:\/\/doi.org\/10.1007\/s00477-015-1187-1","DOI":"10.1007\/s00477-015-1187-1"},{"issue":"6","key":"580_CR5","doi-asserted-by":"publisher","first-page":"609","DOI":"10.1007\/s10951-010-0163-3","volume":"13","author":"J Fortin","year":"2010","unstructured":"Fortin J, Zieli\u0144ski P, Dubois D, Fargier H (2010) Criticality analysis of activity networks under interval uncertainty. J Scheduling 13(6):609\u2013627. \n                    https:\/\/doi.org\/10.1007\/s10951-010-0163-3","journal-title":"J Scheduling"},{"key":"#cr-split#-580_CR6.1","unstructured":"Gro\u0161elj P, Stirn LZ (2017) Consensus model for group decision problems with interval weights. In: Zadnik Stirn L et al"},{"key":"#cr-split#-580_CR6.2","unstructured":"(ed) Proceedings of the 14th international symposium on operational research SOR'17, Bled, Slovenia, September 27-29, 2017, Slovenian Society Informatika, Ljubljana, Slovenia, pp 535-540"},{"key":"580_CR7","unstructured":"Hlad\u00edk M (2008) Tolerances in portfolio selection via interval linear programming. In: Rehorova P, Marsikova K, Hubinka Z (eds) Proceedings 26th int. conf. mathematical methods in economics MME08, Liberec, Czech Republic, Technical University Liberec, pp 185\u2013191"},{"issue":"3","key":"580_CR8","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1007\/s10700-009-9060-7","volume":"8","author":"M Hlad\u00edk","year":"2009","unstructured":"Hlad\u00edk M (2009) Optimal value range in interval linear programming. Fuzzy Optim Decis Mak 8(3):283\u2013294. \n                    https:\/\/doi.org\/10.1007\/s10700-009-9060-7","journal-title":"Fuzzy Optim Decis Mak"},{"key":"580_CR9","first-page":"85","volume-title":"Linear programming\u2014new frontiers in theory and applications","author":"M Hlad\u00edk","year":"2012","unstructured":"Hlad\u00edk M (2012) Interval linear programming: a survey. In: Mann ZA (ed) Linear programming\u2014new frontiers in theory and applications. Nova Science Publishers, New York, pp 85\u2013120 chap\u00a02"},{"issue":"2","key":"580_CR10","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1080\/03081087.2016.1180339","volume":"65","author":"M Hlad\u00edk","year":"2017","unstructured":"Hlad\u00edk M (2017) Transformations of interval linear systems of equations and inequalities. Linear Multilinear Algebra 65(2):211\u2013223. \n                    https:\/\/doi.org\/10.1080\/03081087.2016.1180339","journal-title":"Linear Multilinear Algebra"},{"issue":"1\u20132","key":"580_CR11","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1504\/IJOR.2016.078463","volume":"27","author":"P Kumar","year":"2016","unstructured":"Kumar P, Panda G, Gupta U (2016) An interval linear programming approach for portfolio selection model. Int J Oper Res 27(1\u20132):149\u2013164. \n                    https:\/\/doi.org\/10.1504\/IJOR.2016.078463","journal-title":"Int J Oper Res"},{"issue":"6","key":"580_CR12","doi-asserted-by":"publisher","first-page":"698","DOI":"10.1109\/TFUZZ.2002.805902","volume":"10","author":"KK Lai","year":"2002","unstructured":"Lai KK, Wang SY, Xu JP, Zhu SS, Fang Y (2002) A class of linear interval programming problems and its application to portfolio selection. IEEE Trans Fuzzy Syst 10(6):698\u2013704. \n                    https:\/\/doi.org\/10.1109\/TFUZZ.2002.805902","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"4","key":"580_CR13","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1007\/s11590-014-0791-1","volume":"9","author":"W Li","year":"2015","unstructured":"Li W (2015) A note on dependency between interval linear systems. Optim Lett 9(4):795\u2013797. \n                    https:\/\/doi.org\/10.1007\/s11590-014-0791-1","journal-title":"Optim Lett"},{"key":"580_CR14","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1023\/A:1018985914065","volume":"81","author":"F Mr\u00e1z","year":"1998","unstructured":"Mr\u00e1z F (1998) Calculating the exact bounds of optimal values in LP with interval coefficients. Ann Oper Res 81:51\u201362. \n                    https:\/\/doi.org\/10.1023\/A:1018985914065","journal-title":"Ann Oper Res"},{"key":"#cr-split#-580_CR15.1","unstructured":"Novotn\u00e1 J, Hlad\u00edk M, Masa\u0159\u00edk T (2017) Duality gap in interval linear programming. In: Zadnik Stirn L et al"},{"key":"#cr-split#-580_CR15.2","unstructured":"(ed) Proceedings of the 14th international symposium on operational research SOR'17, Bled, Slovenia, September 27-29, 2017, Slovenian Society Informatika, Ljubljana, Slovenia, pp 501-506"},{"issue":"1","key":"580_CR16","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1007\/BF01386090","volume":"6","author":"W Oettli","year":"1964","unstructured":"Oettli W, Prager W (1964) Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides. Numer Math 6(1):405\u2013409. \n                    https:\/\/doi.org\/10.1007\/bf01386090","journal-title":"Numer Math"},{"key":"580_CR17","unstructured":"Oliveira C, Antunes CH (2009) A multiobjective model for integrated sustainable planning under uncertainty. In: Grasserbauer M, Sakalauskas L, Zavadskas EK (eds) Proceedings of the EURO mini-conference\u20145th international Vilnius conference knowledge-based technologies and OR methodologies for strategic decisions of sustainable development (KORSD-2009), pp 137\u2013142"},{"key":"580_CR18","doi-asserted-by":"publisher","unstructured":"Rohn J (2006a) Interval linear programming. In: Linear optimization problems with inexact data. Springer US, pp 79\u2013100. \n                    https:\/\/doi.org\/10.1007\/0-387-32698-7_3","DOI":"10.1007\/0-387-32698-7_3"},{"key":"580_CR19","doi-asserted-by":"publisher","unstructured":"Rohn J (2006b) Solvability of systems of interval linear equations and inequalities. In: Linear optimization problems with inexact data, Springer US, pp 35\u201377. \n                    https:\/\/doi.org\/10.1007\/0-387-32698-7_2","DOI":"10.1007\/0-387-32698-7_2"},{"issue":"18\u201319","key":"580_CR20","doi-asserted-by":"publisher","first-page":"8341","DOI":"10.1016\/j.apm.2013.03.053","volume":"37","author":"M Safi","year":"2013","unstructured":"Safi M, Razmjoo A (2013) Solving fixed charge transportation problem with interval parameters. Appl Math Model 37(18\u201319):8341\u20138347. \n                    https:\/\/doi.org\/10.1016\/j.apm.2013.03.053","journal-title":"Appl Math Model"},{"issue":"1","key":"580_CR21","first-page":"12","volume":"1","author":"RE Wendell","year":"2010","unstructured":"Wendell RE, Chen W (2010) Tolerance sensitivity analysis: thirty years later. Croatian Oper Res Rev 1(1):12\u201321","journal-title":"Croatian Oper Res Rev"}],"container-title":["Central European Journal of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10100-018-0580-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10100-018-0580-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10100-018-0580-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,22]],"date-time":"2019-09-22T13:43:19Z","timestamp":1569159799000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10100-018-0580-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,29]]},"references-count":23,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,9]]}},"alternative-id":["580"],"URL":"https:\/\/doi.org\/10.1007\/s10100-018-0580-5","relation":{},"ISSN":["1435-246X","1613-9178"],"issn-type":[{"value":"1435-246X","type":"print"},{"value":"1613-9178","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,29]]},"assertion":[{"value":"29 August 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}