{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T17:02:37Z","timestamp":1784653357933,"version":"3.55.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2007,7,18]],"date-time":"2007-07-18T00:00:00Z","timestamp":1184716800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Program."],"published-print":{"date-parts":[[2009,3]]},"DOI":"10.1007\/s10107-007-0163-z","type":"journal-article","created":{"date-parts":[[2007,7,17]],"date-time":"2007-07-17T05:03:36Z","timestamp":1184648616000},"page":"51-80","source":"Crossref","is-referenced-by-count":109,"title":["Robust solution of monotone stochastic linear complementarity problems"],"prefix":"10.1007","volume":"117","author":[{"given":"Xiaojun","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chao","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Masao","family":"Fukushima","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2007,7,18]]},"reference":[{"key":"163_CR1","volume-title":"Introduction to Stochastic Programming","author":"J.R. Birge","year":"1997","unstructured":"Birge J.R. and Louveaux F. (1997). Introduction to Stochastic Programming. Springer, New York"},{"key":"163_CR2","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/PL00011375","volume":"88","author":"B. Chen","year":"2000","unstructured":"Chen B., Chen X. and Kanzow C. (2000). A penalized Fischer\u2013Burmeister NCP-function. Math. Program. 88: 211\u2013216","journal-title":"Math. Program."},{"key":"163_CR3","doi-asserted-by":"crossref","first-page":"1022","DOI":"10.1287\/moor.1050.0160","volume":"30","author":"X. Chen","year":"2005","unstructured":"Chen X. and Fukushima M. (2005). Expected residual minimization method for stochastic linear complementarity problems. Math. Oper. Res. 30: 1022\u20131038","journal-title":"Math. Oper. Res."},{"key":"163_CR4","volume-title":"The Linear Complementarity Problem","author":"R.W. Cottle","year":"1992","unstructured":"Cottle R.W., Pang J.-S. and Stone R.E. (1992). The Linear Complementarity Problem. Academic, New York"},{"key":"163_CR5","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1287\/trsc.14.1.42","volume":"14","author":"S. Daffermos","year":"1980","unstructured":"Daffermos S. (1980). Traffic equilibrium and variational inequalities. Transportation Sci. 14: 42\u201354","journal-title":"Transportation Sci."},{"key":"163_CR6","volume-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems, I and II","author":"F. Facchinei","year":"2003","unstructured":"Facchinei F. and Pang J.-S. (2003). Finite-Dimensional Variational Inequalities and Complementarity Problems, I and II. Springer, New York"},{"key":"163_CR7","doi-asserted-by":"crossref","unstructured":"Fang, H., Chen, X., Fukushima, M.: Stochastic R 0 matrix linear complementarity problems. SIAM J. Optim. 18, 482\u2013506 (2007)","DOI":"10.1137\/050630805"},{"key":"163_CR8","unstructured":"Ferris, M.C.: ftp:\/\/ftp.cs.wisc.edu\/math-prog\/matlab\/lemke.m, Department of Computer Science, University of Wisconsin (1998)"},{"key":"163_CR9","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1137\/S0036144595285963","volume":"39","author":"M.C. Ferris","year":"1997","unstructured":"Ferris M.C. and Pang J.-S. (1997). Engineering and economic applications of complementarity problems. SIAM Rev. 39: 669\u2013713","journal-title":"SIAM Rev."},{"key":"163_CR10","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/nav.3800030109","volume":"3","author":"M. Frank","year":"1956","unstructured":"Frank M. and Wolfe P. (1956). An algorithm for quadratic programming. Nav. Res. Logist. 3: 95\u2013110","journal-title":"Nav. Res. Logist."},{"key":"163_CR11","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/s101070050024","volume":"84","author":"G. G\u00fcrkan","year":"1999","unstructured":"G\u00fcrkan G., \u00d6zge A.Y. and Robinson S.M. (1999). Sample-path solution of stochastic variational inequalities. Math. Program. 84: 313\u2013333","journal-title":"Math. Program."},{"key":"163_CR12","volume-title":"Stochastic Programming","author":"P. Kall","year":"1994","unstructured":"Kall P. and Wallace S.W. (1994). Stochastic Programming. Wiley, Chichester"},{"key":"163_CR13","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1023\/A:1022659603268","volume":"94","author":"C. Kanzow","year":"1997","unstructured":"Kanzow C., Yamashita N. and Fukushima M. (1997). New NCP-functions and their properties. J. Optim. Theory Appl. 94: 115\u2013135","journal-title":"J. Optim. Theory Appl."},{"key":"163_CR14","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1137\/S1052623499363220","volume":"12","author":"A.J. Kleywegt","year":"2001","unstructured":"Kleywegt A.J., Shapiro A. and Homen-De-Mello T. (2001). The sample average approximation method for stochastic disete optimization. SIAM J. Optim. 12: 479\u2013502","journal-title":"SIAM J. Optim."},{"key":"163_CR15","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1080\/10556780600627610","volume":"21","author":"G.H. Lin","year":"2006","unstructured":"Lin G.H. and Fukushima M. (2006). New reformulations for stochastic nonlinear complementarity problems. Optim. Methods Softw. 21: 551\u2013564","journal-title":"Optim. Methods Softw."},{"key":"163_CR16","first-page":"204","volume-title":"Complementarity and Variational Problems: State of the Art.","author":"Z.-Q. Luo","year":"1997","unstructured":"Luo Z.-Q. and Tseng P. (1997). A new class of merit functions for the nonlinear complementarity problem. In: Ferris, M.C. and Pang, J.-S. (eds) Complementarity and Variational Problems: State of the Art., pp 204\u2013225. SIAM, Philadelphia"},{"key":"163_CR17","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF01581148","volume":"66","author":"O.L. Mangasarian","year":"1994","unstructured":"Mangasarian O.L. and Ren J. (1994). New improved error bounds for the linear complementarity problem. Math. Program. 66: 241\u2013255","journal-title":"Math. Program."},{"key":"163_CR18","volume-title":"Stochastic Optimization Methods","author":"K. Marti","year":"2005","unstructured":"Marti K. (2005). Stochastic Optimization Methods. Springer, Berlin"},{"key":"163_CR19","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/BF02192639","volume":"89","author":"P. Tseng","year":"1996","unstructured":"Tseng P. (1996). Growth behavior of a class of merit functions for the nonlinear complementarity problem. J. Optim. Theory Appl. 89: 17\u201337","journal-title":"J. Optim. Theory Appl."},{"key":"163_CR20","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1023\/A:1008669226453","volume":"13","author":"D. Sun","year":"1999","unstructured":"Sun D. and Qi L. (1999). On NCP-functions. Comp. Optim. Appl. 13: 201\u2013220","journal-title":"Comp. Optim. Appl."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-007-0163-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10107-007-0163-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-007-0163-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T05:50:04Z","timestamp":1559109004000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10107-007-0163-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,18]]},"references-count":20,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2009,3]]}},"alternative-id":["163"],"URL":"https:\/\/doi.org\/10.1007\/s10107-007-0163-z","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,7,18]]}}}