{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T05:40:33Z","timestamp":1757310033236},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2017,9,26]],"date-time":"2017-09-26T00:00:00Z","timestamp":1506384000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2018,8]]},"DOI":"10.1007\/s11075-017-0418-6","type":"journal-article","created":{"date-parts":[[2017,9,26]],"date-time":"2017-09-26T02:54:15Z","timestamp":1506394455000},"page":"1183-1194","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Exact solution to a parametric linear programming problem"],"prefix":"10.1007","volume":"78","author":[{"given":"Lubomir","family":"Kolev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iwona","family":"Skalna","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,9,26]]},"reference":[{"issue":"2\u20133","key":"418_CR1","first-page":"106","volume":"12","author":"SP Aggarwal","year":"1968","unstructured":"Aggarwal, S.P.: Parametric linear fractional functional programming. Metrika 12(2\u20133), 106\u2013114 (1968)","journal-title":"Metrika"},{"issue":"2","key":"418_CR2","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/BF01096736","volume":"3","author":"A Cambini","year":"1993","unstructured":"Cambini, A., Schaible, S., Sodini, C.: Parametric linear fractional programming for an unbounded feasible region. J. Glob. Optim. 3(2), 157\u2013169 (1993)","journal-title":"J. Glob. Optim."},{"issue":"3","key":"418_CR3","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1007\/s10100-015-0402-y","volume":"24","author":"C Michal","year":"2016","unstructured":"Michal, C., Hlad\u00edk, M.: Inverse optimization: towards the optimal parameter set of inverse LP with interval coefficients. CEJOR 24(3), 747\u2013762 (2016)","journal-title":"CEJOR"},{"key":"418_CR4","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. Making 8, 283\u2013294 (2009)","journal-title":"Fuzzy Optim. Decis. Making"},{"key":"418_CR5","unstructured":"Hlad\u00edk, M.: An Interval Linear Programming Contractor. In: Proceedings of 30Th Int. Conf. on Mathematical Methods in Economics 2012, Karvin, Czech Republic, 284\u2013289, Part I.), Silesian University in Opava, School of Business Administration in Karvin (2012)"},{"issue":"2","key":"418_CR6","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s00607-011-0169-5","volume":"94","author":"L Jaulin","year":"2012","unstructured":"Jaulin, L.: Solving set-valued constraint satisfaction problems. Computing 94(2), 297\u2013311 (2012). Springer Verlag","journal-title":"Computing"},{"issue":"0","key":"418_CR7","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.compchemeng.2013.08.005","volume":"60","author":"R Khalilpour","year":"2014","unstructured":"Khalilpour, R., Karimi, I.A.: Parametric optimization with uncertainty on the left hand side of linear programs. Comput. Chem. Eng. 60(0), 31\u201340 (2014)","journal-title":"Comput. Chem. Eng."},{"key":"418_CR8","first-page":"1","volume":"16","author":"L Kolev","year":"2011","unstructured":"Kolev, L.: A method for determining the regularity radius of interval matrices. Reliab. Comput. 16, 1\u201326 (2011)","journal-title":"Reliab. Comput."},{"issue":"11","key":"418_CR9","first-page":"229","volume":"246","author":"L Kolev","year":"2014","unstructured":"Kolev, L.: Parameterized solution of linear interval parametric systems. Appl. Math. Comput. 246(11), 229\u2013246 (2014)","journal-title":"Appl. Math. Comput."},{"key":"418_CR10","first-page":"1","volume":"20","author":"L Kolev","year":"2014","unstructured":"Kolev, L.: Componentwise determination of the interval hull solution for linear interval parameter systems. Reliab. Comput. 20, 1\u201324 (2014)","journal-title":"Reliab. Comput."},{"issue":"1","key":"418_CR11","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/s10898-012-9895-2","volume":"57","author":"M Wittmann-Hohlbein","year":"2013","unstructured":"Wittmann-Hohlbein, M., Pistikopoulos, E.N.: On the global solution of multi-parametric mixed integer linear programming problems. J. Glob. Optim. 57(1), 51\u201373 (2013)","journal-title":"J. Glob. Optim."},{"key":"418_CR12","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1017\/S0962492904000194","volume":"13","author":"A Neumaier","year":"2004","unstructured":"Neumaier, A.: Complete search in continuous global optimization and constraint satisfaction. Acta Numerica 13, 271\u2013369 (2004)","journal-title":"Acta Numerica"},{"key":"418_CR13","doi-asserted-by":"crossref","unstructured":"Popova, E.D.: On the Solution of Parametrised Linear Systems, Scientific Computing, Validated Numerics. In: Kr\u00e4mer, W., Von Gudenberg, J.W. (eds.) Interval Methods, pp 127\u2013138. Kluwer, London (2001)","DOI":"10.1007\/978-1-4757-6484-0_11"},{"issue":"4","key":"418_CR14","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1007\/BF00539118","volume":"4","author":"K Ritter","year":"1966","unstructured":"Ritter, K.: A method for solving maximum-problems with a nonconcave quadratic objective function. Zeitschrift fr Wahrscheinlichkeitstheorie und Verwandte Gebiete 4(4), 340\u2013351 (1966)","journal-title":"Zeitschrift fr Wahrscheinlichkeitstheorie und Verwandte Gebiete"},{"key":"418_CR15","doi-asserted-by":"crossref","unstructured":"Rohn, J.: Interval Linear Programming. In: Linear Optimization Problems with Inexact Data, pp. 79\u2013100. Springer US, Boston (2006)","DOI":"10.1007\/0-387-32698-7_3"},{"key":"418_CR16","unstructured":"Rump, S.M.: Verification Methods for Dense and Sparse Systems of Equations. In: Herzberger, J. (ed.) Topics in Validated Computations, pp. 63\u2013136. Elsevier, Amsterdam (1994)"},{"key":"418_CR17","first-page":"361","volume":"4310","author":"I Skalna","year":"2007","unstructured":"Skalna, I.: Evolutionary optimization method for approximating the solution set hull of parametric linear systems. LNCS 4310, 361\u2013368 (2007)","journal-title":"LNCS"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-017-0418-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-017-0418-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-017-0418-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,3]],"date-time":"2019-10-03T23:35:03Z","timestamp":1570145703000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-017-0418-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,26]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,8]]}},"alternative-id":["418"],"URL":"https:\/\/doi.org\/10.1007\/s11075-017-0418-6","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9,26]]}}}