{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:39:34Z","timestamp":1740145174607,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T00:00:00Z","timestamp":1555286400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T00:00:00Z","timestamp":1555286400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11571270","71371152"],"award-info":[{"award-number":["11571270","71371152"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the World-Class Universities (Disciplines) and the Characteristic Development Guidance Funds for the Central Universities","award":["PY3A058"],"award-info":[{"award-number":["PY3A058"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2020,7]]},"DOI":"10.1007\/s11590-019-01426-9","type":"journal-article","created":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T09:02:49Z","timestamp":1555318969000},"page":"1249-1264","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Quantitative stability of fully random two-stage stochastic programs with mixed-integer recourse"],"prefix":"10.1007","volume":"14","author":[{"given":"Zhiping","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,4,15]]},"reference":[{"key":"1426_CR1","doi-asserted-by":"crossref","unstructured":"Ahmed, S.: Two-stage stochastic integer programming: a brief introduction. Wiley Encyclopedia of Operations Research and Management Science. Wiley, Hoboken (2010)","DOI":"10.1002\/9780470400531.eorms0092"},{"key":"1426_CR2","unstructured":"Ahmed, S., Shapiro, A., Shapiro, E.: The sample average approximation method for stochastic programs with integer recourse. \nwww.optimization-online.org\n\n (2002). Accessed 2 June 2002"},{"issue":"2","key":"1426_CR3","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1007\/s10107-003-0475-6","volume":"100","author":"S Ahmed","year":"2004","unstructured":"Ahmed, S., Tawarmalani, M., Sahinidis, N.V.: A finite branch-and-bound algorithm for two-stage stochastic integer programs. Math. Program. 100(2), 355\u2013377 (2004)","journal-title":"Math. Program."},{"issue":"3","key":"1426_CR4","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1080\/02331931003700707","volume":"59","author":"F Bastin","year":"2010","unstructured":"Bastin, F., Cirillo, C., Toint, P.L.: Formulation and solution strategies for nonparametric nonlinear stochastic programmes with an application in finance. Optimization 59(3), 355\u2013376 (2010)","journal-title":"Optimization"},{"key":"1426_CR5","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.omega.2016.08.010","volume":"70","author":"C Beltran-Royo","year":"2017","unstructured":"Beltran-Royo, C.: Two-stage stochastic mixed-integer linear programming: the conditional scenario approach. Omega 70, 31\u201342 (2017)","journal-title":"Omega"},{"issue":"1","key":"1426_CR6","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/0012-365X(79)90147-X","volume":"25","author":"CE Blair","year":"1979","unstructured":"Blair, C.E., Jeroslow, R.G.: The value function of a mixed integer program: II. Discrete Math. 25(1), 7\u201319 (1979)","journal-title":"Discrete Math."},{"issue":"5","key":"1426_CR7","doi-asserted-by":"publisher","first-page":"1647","DOI":"10.1007\/s11590-013-0684-8","volume":"8","author":"Z Chen","year":"2014","unstructured":"Chen, Z., Zhang, F.: Continuity and stability of fully random two-stage stochastic programs with mixed-integer recourse. Optim. Lett. 8(5), 1647\u20131662 (2014)","journal-title":"Optim. Lett."},{"issue":"1","key":"1426_CR8","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/s10107-016-1000-z","volume":"157","author":"D Gade","year":"2016","unstructured":"Gade, D., Hackebeil, G., Ryan, S.M., Watson, J.P., Wets, R.J.B., Woodruff, D.L.: Obtaining lower bounds from the progressive hedging algorithm for stochastic mixed-integer programs. Math. Program. 157(1), 47\u201367 (2016)","journal-title":"Math. Program."},{"key":"1426_CR9","unstructured":"Jiang, J., Chen, Z.: Quantitative stability of two-stage stochastic linear programs with full random recourse. \nwww.optimization-online.org\n\n (2018). Accessed 5 Jan 2018"},{"key":"1426_CR10","first-page":"213","volume":"10","author":"FV Louveaux","year":"2003","unstructured":"Louveaux, F.V., Schultz, R.: Stochastic integer programming. Handb. Oper. Res. Manag. Sci. 10, 213\u2013266 (2003)","journal-title":"Handb. Oper. Res. Manag. Sci."},{"key":"1426_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-4869-3","volume-title":"The Methods of Distances in the Theory of Probability and Statistics","author":"ST Rachev","year":"2013","unstructured":"Rachev, S.T., Klebanov, L., Stoyanov, S.V., Fabozzi, F.: The Methods of Distances in the Theory of Probability and Statistics. Springer, Berlin (2013)"},{"issue":"4","key":"1426_CR12","doi-asserted-by":"publisher","first-page":"792","DOI":"10.1287\/moor.27.4.792.304","volume":"27","author":"ST Rachev","year":"2002","unstructured":"Rachev, S.T., R\u00f6misch, W.: Quantitative stability in stochastic programming: the method of probability metrics. Math. Oper. Res. 27(4), 792\u2013818 (2002)","journal-title":"Math. Oper. Res."},{"issue":"1","key":"1426_CR13","doi-asserted-by":"publisher","first-page":"426","DOI":"10.1137\/140986244","volume":"26","author":"W Romeijnders","year":"2016","unstructured":"Romeijnders, W., Schultz, R., van der Vlerk, M.H., Klein Haneveld, W.K.: A convex approximation for two-stage mixed-integer recourse models with a uniform error bound. SIAM J. Optim. 26(1), 426\u2013447 (2016)","journal-title":"SIAM J. Optim."},{"key":"1426_CR14","first-page":"483","volume":"10","author":"W R\u00f6misch","year":"2003","unstructured":"R\u00f6misch, W.: Stability of stochastic programming problems. Wiley Handb. Oper. Res. Manag. Sci. 10, 483\u2013554 (2003)","journal-title":"Wiley Handb. Oper. Res. Manag. Sci."},{"issue":"3","key":"1426_CR15","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/s11590-007-0066-1","volume":"2","author":"W R\u00f6misch","year":"2008","unstructured":"R\u00f6misch, W., Vigerske, S.: Quantitative stability of fully random mixed-integer two-stage stochastic programs. Optim. Lett. 2(3), 377\u2013388 (2008)","journal-title":"Optim. Lett."},{"key":"1426_CR16","doi-asserted-by":"crossref","unstructured":"R\u00f6misch, W., Vigerske, S.: Recent progress in two-stage mixed-integer stochastic programming with applications to power production planning. In: Handbook of Power Systems I, pp. 177\u2013208. Springer (2010)","DOI":"10.1007\/978-3-642-02493-1_8"},{"issue":"1","key":"1426_CR17","first-page":"73","volume":"70","author":"R Schultz","year":"1995","unstructured":"Schultz, R.: On structure and stability in stochastic programs with random technology matrix and complete integer recourse. Math. Program. 70(1), 73\u201389 (1995)","journal-title":"Math. Program."},{"issue":"4","key":"1426_CR18","doi-asserted-by":"publisher","first-page":"1138","DOI":"10.1137\/S1052623494271655","volume":"6","author":"R Schultz","year":"1996","unstructured":"Schultz, R.: Rates of convergence in stochastic programs with complete integer recourse. SIAM J. Optim. 6(4), 1138\u20131152 (1996)","journal-title":"SIAM J. Optim."},{"issue":"1\u20132","key":"1426_CR19","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s10107-003-0445-z","volume":"97","author":"R Schultz","year":"2003","unstructured":"Schultz, R.: Stochastic programming with integer variables. Math. Program. 97(1\u20132), 285\u2013309 (2003)","journal-title":"Math. Program."},{"issue":"2","key":"1426_CR20","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/s10107-005-0592-5","volume":"106","author":"S Sen","year":"2006","unstructured":"Sen, S., Sherali, H.D.: Decomposition with branch-and-cut approaches for two-stage stochastic mixed-integer programming. Math. Program. 106(2), 203\u2013223 (2006)","journal-title":"Math. Program."},{"key":"1426_CR21","first-page":"353","volume":"10","author":"A Shapiro","year":"2003","unstructured":"Shapiro, A.: Monte carlo sampling methods. Handb. Oper. Res. Manag. Sci. 10, 353\u2013425 (2003)","journal-title":"Handb. Oper. Res. Manag. Sci."},{"key":"1426_CR22","doi-asserted-by":"crossref","unstructured":"Shapiro, A., Dentcheva, D., Ruszczy\u0144ski, A.: Lectures on stochastic programming: modeling and theory, 2nd edn. MOS-SIAM Ser. Optim, SIAM, Philadelphia, PA (2009)","DOI":"10.1137\/1.9780898718751"},{"key":"1426_CR23","unstructured":"Zhao, C., Guan, Y.: Data-driven risk-averse two-stage stochastic program with $$\\zeta $$-structure probability metrics. \nwww.optimization-online.org\n\n (2015). Accessed 5 Nov 2015"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01426-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-019-01426-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01426-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,20]],"date-time":"2020-06-20T12:06:01Z","timestamp":1592654761000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-019-01426-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,15]]},"references-count":23,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["1426"],"URL":"https:\/\/doi.org\/10.1007\/s11590-019-01426-9","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"type":"print","value":"1862-4472"},{"type":"electronic","value":"1862-4480"}],"subject":[],"published":{"date-parts":[[2019,4,15]]},"assertion":[{"value":"26 April 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 April 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 April 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}