{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:18:26Z","timestamp":1758824306237},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,5,11]],"date-time":"2017-05-11T00:00:00Z","timestamp":1494460800000},"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":["Math Meth Oper Res"],"published-print":{"date-parts":[[2017,10]]},"DOI":"10.1007\/s00186-017-0592-2","type":"journal-article","created":{"date-parts":[[2017,5,11]],"date-time":"2017-05-11T20:09:46Z","timestamp":1494533386000},"page":"255-275","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Approaches to four types of bilevel programming problems with nonconvex nonsmooth lower level programs and their applications to newsvendor problems"],"prefix":"10.1007","volume":"86","author":[{"given":"Xide","family":"Zhu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peijun","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,11]]},"reference":[{"issue":"1\u20132","key":"592_CR1","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s10107-012-0535-x","volume":"138","author":"GB Allende","year":"2013","unstructured":"Allende GB, Still G (2013) Solving bilevel programs with the KKT-approach. Math Program 138(1\u20132):309\u2013332","journal-title":"Math Program"},{"key":"592_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2836-1","volume-title":"Practical bilevel optimization: algorithms and applications","author":"JF Bard","year":"1998","unstructured":"Bard JF (1998) Practical bilevel optimization: algorithms and applications, vol 30. Springer, Berlin"},{"issue":"2","key":"592_CR3","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s10288-005-0071-0","volume":"3","author":"B Colson","year":"2005","unstructured":"Colson B, Marcotte P, Savard G (2005) Bilevel programming: a survey. 4OR-Q J Oper Res 3(2):87\u2013107","journal-title":"4OR-Q J Oper Res"},{"key":"592_CR4","volume-title":"Foundations of bilevel programming","author":"S Dempe","year":"2002","unstructured":"Dempe S (2002) Foundations of bilevel programming. Springer, Berlin"},{"issue":"1\u20132","key":"592_CR5","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1007\/s10107-011-0508-5","volume":"138","author":"S Dempe","year":"2013","unstructured":"Dempe S, Zemkoho AB (2013) The bilevel programming problem: reformulations, constraint qualifications and optimality conditions. Math Program 138(1\u20132):447\u2013473","journal-title":"Math Program"},{"issue":"4","key":"592_CR6","doi-asserted-by":"crossref","first-page":"1639","DOI":"10.1137\/130917715","volume":"24","author":"S Dempe","year":"2014","unstructured":"Dempe S, Zemkoho AB (2014) KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization. SIAM J Optim 24(4):1639\u20131669","journal-title":"SIAM J Optim"},{"issue":"4","key":"592_CR7","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1137\/110845197","volume":"22","author":"S Dempe","year":"2012","unstructured":"Dempe S, Mordukhovich BS, Zemkoho AB (2012) Sensitivity analysis for two-level value functions with applications to bilevel programming. SIAM J Optim 22(4):1309\u20131343","journal-title":"SIAM J Optim"},{"issue":"1","key":"592_CR8","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s10107990015a","volume":"85","author":"F Facchinei","year":"1999","unstructured":"Facchinei F, Jiang H, Qi L (1999) A smoothing method for mathematical programs with equilibrium constraints. Math Program 85(1):107\u2013134","journal-title":"Math Program"},{"issue":"1","key":"592_CR9","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1137\/S1052623402407382","volume":"17","author":"R Fletcher","year":"2006","unstructured":"Fletcher R, Leyffer S, Ralph D, Scholtes S (2006) Local convergence of SQP methods for mathematical programs with equilibrium constraints. SIAM J Optim 17(1):259\u2013286","journal-title":"SIAM J Optim"},{"issue":"3","key":"592_CR10","first-page":"213","volume":"2","author":"P Guo","year":"2010","unstructured":"Guo P (2010a) One-shot decision approach and its application to duopoly market. Int J Inf Decis Sci 2(3):213\u2013232","journal-title":"Int J Inf Decis Sci"},{"issue":"3","key":"592_CR11","doi-asserted-by":"crossref","first-page":"238","DOI":"10.53383\/100127","volume":"13","author":"P Guo","year":"2010","unstructured":"Guo P (2010b) Private real estate investment analysis within one-shot decision framework. Int Real Estate Rev 13(3):238\u2013260","journal-title":"Int Real Estate Rev"},{"issue":"5","key":"592_CR12","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1109\/TSMCA.2010.2093891","volume":"41","author":"P Guo","year":"2011","unstructured":"Guo P (2011) One-shot decision theory. IEEE Trans On Syst Man Cybern A Syst Hum 41(5):917\u2013926","journal-title":"IEEE Trans On Syst Man Cybern A Syst Hum"},{"issue":"2","key":"592_CR13","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1016\/j.ejor.2013.12.038","volume":"236","author":"P Guo","year":"2014","unstructured":"Guo P, Li Y (2014) Approaches to multistage one-shot decision making. Eur J Oper Res 236(2):612\u2013623","journal-title":"Eur J Oper Res"},{"issue":"2","key":"592_CR14","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1016\/j.ejor.2014.05.028","volume":"239","author":"P Guo","year":"2014","unstructured":"Guo P, Ma X (2014) Newsvendor models for innovative products with one-shot decision theory. Eur J Oper Res 239(2):523\u2013536","journal-title":"Eur J Oper Res"},{"issue":"1","key":"592_CR15","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1007\/s10957-014-0699-z","volume":"166","author":"L Guo","year":"2015","unstructured":"Guo L, Lin GH, Ye JJ (2015) Solving mathematical programs with equilibrium constraints. J Optim Theory Appl 166(1):234\u2013256","journal-title":"J Optim Theory Appl"},{"issue":"1","key":"592_CR16","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/BF01199466","volume":"46","author":"XS Li","year":"1997","unstructured":"Li XS, Fang SC (1997) On the entropic regularization method for solving min\u2013max problems with applications. Math Methods Oper Res 46(1):119\u2013130","journal-title":"Math Methods Oper Res"},{"key":"592_CR17","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/j.fss.2015.01.005","volume":"274","author":"Y Li","year":"2015","unstructured":"Li Y, Guo P (2015) Possibilistic individual multi-period consumption-investment models. Fuzzy Sets Syst 274:47\u201361","journal-title":"Fuzzy Sets Syst"},{"issue":"1\u20134","key":"592_CR18","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/s10479-004-5024-z","volume":"133","author":"GH Lin","year":"2005","unstructured":"Lin GH, Fukushima M (2005) A modified relaxation scheme for mathematical programs with complementarity constraints. Ann Oper Res 133(1\u20134):63\u201384","journal-title":"Ann Oper Res"},{"issue":"1\u20132","key":"592_CR19","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/s10107-013-0633-4","volume":"144","author":"GH Lin","year":"2014","unstructured":"Lin GH, Xu M, Ye JJ (2014) On solving simple bilevel programs with a nonconvex lower level program. Math Program 144(1\u20132):277\u2013305","journal-title":"Math Program"},{"key":"592_CR20","volume-title":"Mathematical programs with equilibrium constraints","author":"ZQ Luo","year":"1996","unstructured":"Luo ZQ, Pang JS, Ralph D (1996) Mathematical programs with equilibrium constraints. Cambridge University Press, Cambridge"},{"issue":"4","key":"592_CR21","first-page":"255","volume":"34","author":"JV Outrata","year":"1990","unstructured":"Outrata JV (1990) On the numerical solution of a class of Stackelberg problems. Z Oper Res 34(4):255\u2013277","journal-title":"Z Oper Res"},{"key":"592_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational analysis","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar RT, Wets RJB (1998) Variational analysis. Springer, Berlin"},{"issue":"4","key":"592_CR23","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1137\/S1052623499361233","volume":"11","author":"S Scholtes","year":"2001","unstructured":"Scholtes S (2001) Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. SIAM J Optim 11(4):918\u2013936","journal-title":"SIAM J Optim"},{"key":"592_CR24","volume-title":"Convex optimization","author":"B Stephen","year":"2004","unstructured":"Stephen B, Vandenberghe L (2004) Convex optimization. Cambridge University Press, Cambridge"},{"issue":"3","key":"592_CR25","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF01096458","volume":"5","author":"LN Vicente","year":"1994","unstructured":"Vicente LN, Calamai PH (1994) Bilevel and multilevel programming: a bibliography review. J Global Optim 5(3):291\u2013306","journal-title":"J Global Optim"},{"key":"592_CR26","volume-title":"The theory of the market economy","author":"H Stackelberg Von","year":"1952","unstructured":"Von Stackelberg H (1952) The theory of the market economy. Oxford University Press, Oxford"},{"issue":"3","key":"592_CR27","doi-asserted-by":"crossref","first-page":"994","DOI":"10.1016\/j.ejor.2017.03.024","volume":"261","author":"C Wang","year":"2017","unstructured":"Wang C, Guo P (2017) Behavioral models for first-price sealed-bid auctions with the one-shot decision theory. Eur J Oper Res 261(3):994\u20131000","journal-title":"Eur J Oper Res"},{"issue":"1\u20132","key":"592_CR28","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/s10589-013-9627-7","volume":"59","author":"M Xu","year":"2014","unstructured":"Xu M, Ye JJ (2014) A smoothing augmented Lagrangian method for solving simple bilevel programs. Comput Optim Appl 59(1\u20132):353\u2013377","journal-title":"Comput Optim Appl"},{"issue":"1","key":"592_CR29","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1016\/j.jmaa.2004.10.032","volume":"307","author":"JJ Ye","year":"2005","unstructured":"Ye JJ (2005) Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints. J Math Anal Appl 307(1):350\u2013369","journal-title":"J Math Anal Appl"},{"issue":"1","key":"592_CR30","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1080\/02331939508844060","volume":"33","author":"JJ Ye","year":"1995","unstructured":"Ye JJ, Zhu DL (1995) Optimality conditions for bilevel programming problems. Optimization 33(1):9\u201327","journal-title":"Optimization"},{"issue":"4","key":"592_CR31","doi-asserted-by":"crossref","first-page":"1885","DOI":"10.1137\/080725088","volume":"20","author":"JJ Ye","year":"2010","unstructured":"Ye JJ, Zhu DL (2010) New necessary optimality conditions for bilevel programs by combining the MPEC and value function approaches. SIAM J Optim 20(4):1885\u20131905","journal-title":"SIAM J Optim"},{"issue":"4","key":"592_CR32","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1080\/10556788.2016.1171863","volume":"31","author":"X Zhu","year":"2016","unstructured":"Zhu X, Lin GH (2016) Improved convergence results for a modified Levenberg\u2013Marquardt method for nonlinear equations and applications in MPCC. Optim Methods Softw 31(4):791\u2013804","journal-title":"Optim Methods Softw"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-017-0592-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-017-0592-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-017-0592-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,28]],"date-time":"2022-07-28T14:03:46Z","timestamp":1659017026000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-017-0592-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,11]]},"references-count":32,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,10]]}},"alternative-id":["592"],"URL":"https:\/\/doi.org\/10.1007\/s00186-017-0592-2","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,11]]}}}