{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T21:01:36Z","timestamp":1780606896064,"version":"3.54.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1994,10,1]],"date-time":"1994-10-01T00:00:00Z","timestamp":780969600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1994,10]]},"DOI":"10.1007\/bf01582219","type":"journal-article","created":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T08:40:17Z","timestamp":1114677617000},"page":"143-168","source":"Crossref","is-referenced-by-count":49,"title":["Finite master programs in regularized stochastic decomposition"],"prefix":"10.1007","volume":"67","author":[{"given":"Julia L.","family":"Higle","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Suvrajeet","family":"Sen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1287\/opre.33.5.989","volume":"33","author":"J.R. Birge","year":"1985","unstructured":"J.R. Birge, \u201cDecomposition and partitioning methods for multi-stage stochastic linear programs,\u201dOperations Research 33 (1985) 989\u20131007.","journal-title":"Operations Research"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1287\/moor.16.3.650","volume":"16","author":"J.L. Higle","year":"1991","unstructured":"J.L. Higle and S. Sen, \u201cStochastic decomposition: an algorithm for two stage linear programs with recourse,\u201dMathematics of Operations Research 16 (1991a) 650\u2013669.","journal-title":"Mathematics of Operations Research"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF02204818","volume":"30","author":"J.L. Higle","year":"1991","unstructured":"J.L. Higle and S. Sen, \u201cStatistical verification of optimality conditions,\u201dAnnals of Operations Research 30 (1991b) 215\u2013240.","journal-title":"Annals of Operations Research"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1287\/moor.17.1.112","volume":"17","author":"J.L. Higle","year":"1992","unstructured":"J.L. Higle and S. Sen, \u201cOn the convergence of algorithms, with implications for stochastic and nondifferentiable optimization,\u201dMathematics of Operations Research 17 (1992) 112\u2013131.","journal-title":"Mathematics of Operations Research"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/BF01589349","volume":"20","author":"J.K. Ho","year":"1981","unstructured":"J.K. Ho and E. Loute, \u201cA set of staircase linear programming test problems,\u201dMathematical Programming 20 (1981) 245\u2013250.","journal-title":"Mathematical Programming"},{"key":"CR6","volume-title":"Methods of Descent for Nondifferentiable Optimization, Lecture Notes in Mathematics No. 1133","author":"K.C. Kiwiel","year":"1985","unstructured":"K.C. Kiwiel,Methods of Descent for Nondifferentiable Optimization, Lecture Notes in Mathematics No. 1133 (Springer-Verlag, Berlin, 1985)."},{"key":"CR7","first-page":"73","volume":"87","author":"B. Lemaire","year":"1989","unstructured":"B. Lemaire, \u201cThe Proximal Algorithm,\u201dInternational Series of Numerical Mathematics 87 (1989) 73\u201387.","journal-title":"International Series of Numerical Mathematics"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1007\/978-3-642-61370-8_24","volume-title":"Numerical Techniques for Stochastic Optimization","author":"F.V. Louveaux","year":"1988","unstructured":"F.V. Louveaux and Y. Smeers, \u201cOptimal investment for electricity generation: A stochastic model and a test problem,\u201d in: Y. Ermoliev and R.J-B. Wets (eds.),Numerical Techniques for Stochastic Optimization (Springer-Verlag, Berlin, 1988) pp. 445\u2013453."},{"key":"CR9","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1137\/0314056","volume":"14","author":"R.T. Rockafellar","year":"1976","unstructured":"R.T. Rockafellar, \u201cMonotone operators and the proximal point algorithm,\u201dSIAM Journal of Control and Optimization 14 (1976) 877\u2013898.","journal-title":"SIAM Journal of Control and Optimization"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/BF01580883","volume":"35","author":"A. Ruszczy\u0144ski","year":"1986","unstructured":"A. Ruszczy\u0144ski, \u201cA regularized decomposition method for minimizing a sum of polyhedral functions,\u201dMathematical Programming 35 (1986) 309\u2013333.","journal-title":"Mathematical Programming"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1287\/moor.12.1.32","volume":"12","author":"A. Ruszczy\u0144ski","year":"1987","unstructured":"A. Ruszczy\u0144ski, \u201cA linearization method for nonsmooth stochastic programming problems,\u201dMathematics of Operations Research 12 (1987) 32\u201349.","journal-title":"Mathematics of Operations Research"},{"key":"CR12","volume-title":"Large Scale Optimization: The State of the Art","author":"S. Sen","year":"1994","unstructured":"S. Sen, J. Mai and J.L. Higle, \u201cSolution of large scale stochastic programs with stochastic decomposition algorithms,\u201d in: W. Hager, D. Hearn and P. Pardalos (eds.),Large Scale Optimization: The State of the Art (Kluwer Academic Publishers, Dordrecht, 1994), to appear."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1137\/0117061","volume":"17","author":"R. Slyke Van","year":"1969","unstructured":"R. Van Slyke and R. J-B. Wets, \u201cL-Shaped linear programs with applications to optimal control and stochastic programming,\u201dSIAM Journal on Applied Mathematics 17 (1969) 638\u2013663.","journal-title":"SIAM Journal on Applied Mathematics"},{"key":"CR14","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1137\/1016053","volume":"16","author":"R. J-B. Wets","year":"1974","unstructured":"R. J-B. Wets, \u201cStochastic programs with fixed recourse; the equivalent deterministic problem,\u201dSIAM Review 16 (1974) 309\u2013339.","journal-title":"SIAM Review"},{"key":"CR15","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/BF01299391","volume":"3","author":"D.S. Yakowitz","year":"1994","unstructured":"D.S. Yakowitz, \u201cA regularized stochastic decomposition algorithm for two stage stochastic linear programs,\u201dComputational Optimization and Application 3 (1994) 59\u201381.","journal-title":"Computational Optimization and Application"}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01582219.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01582219\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01582219","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T15:15:47Z","timestamp":1556896547000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01582219"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,10]]},"references-count":15,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1994,10]]}},"alternative-id":["BF01582219"],"URL":"https:\/\/doi.org\/10.1007\/bf01582219","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,10]]}}}