{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:39:35Z","timestamp":1740145175396,"version":"3.37.3"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T00:00:00Z","timestamp":1560988800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T00:00:00Z","timestamp":1560988800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"JSPS KAKENHI","award":["15K03599"],"award-info":[{"award-number":["15K03599"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s11590-019-01444-7","type":"journal-article","created":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T06:52:57Z","timestamp":1561013577000},"page":"1393-1406","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Single-level reformulations of a specific non-smooth bilevel programming problem and their applications"],"prefix":"10.1007","volume":"14","author":[{"given":"Xide","family":"Zhu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9841-1673","authenticated-orcid":false,"given":"Peijun","family":"Guo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,20]]},"reference":[{"issue":"1\u20132","key":"1444_CR1","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s10107-012-0535-x","volume":"138","author":"GB Allende","year":"2013","unstructured":"Allende, G.B., Still, G.: Solving bilevel programs with the KKT-approach. Math. Program. 138(1\u20132), 309\u2013332 (2013)","journal-title":"Math. Program."},{"issue":"1","key":"1444_CR2","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/s10479-007-0176-2","volume":"153","author":"B Colson","year":"2007","unstructured":"Colson, B., Marcotte, P., Savard, G.: An overview of bilevel optimization. Ann. Oper. Res. 153(1), 235\u2013256 (2007)","journal-title":"Ann. Oper. Res."},{"issue":"3","key":"1444_CR3","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1080\/0233193031000149894","volume":"52","author":"S Dempe","year":"2003","unstructured":"Dempe, S.: Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints. Optimization 52(3), 333\u2013359 (2003)","journal-title":"Optimization"},{"issue":"4","key":"1444_CR4","doi-asserted-by":"publisher","first-page":"1309","DOI":"10.1137\/110845197","volume":"22","author":"S Dempe","year":"2012","unstructured":"Dempe, S., Mordukhovich, B.S., Zemkoho, A.B.: Sensitivity analysis for two-level value functions with applications to bilevel programming. SIAM J. Optim. 22(4), 1309\u20131343 (2012)","journal-title":"SIAM J. Optim."},{"issue":"1\u20132","key":"1444_CR5","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/s10107-011-0508-5","volume":"138","author":"S Dempe","year":"2013","unstructured":"Dempe, S., Zemkoho, A.B.: The bilevel programming problem: reformulations, constraint qualifications and optimality conditions. Math. Program. 138(1\u20132), 447\u2013473 (2013)","journal-title":"Math. Program."},{"issue":"4","key":"1444_CR6","doi-asserted-by":"publisher","first-page":"1639","DOI":"10.1137\/130917715","volume":"24","author":"S Dempe","year":"2014","unstructured":"Dempe, S., Zemkoho, A.B.: KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization. SIAM J. Optim. 24(4), 1639\u20131669 (2014)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1444_CR7","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s10107990015a","volume":"85","author":"F Facchinei","year":"1999","unstructured":"Facchinei, F., Jiang, H., Qi, L.: A smoothing method for mathematical programs with equilibrium constraints. Math. Program. 85(1), 107\u2013134 (1999)","journal-title":"Math. Program."},{"issue":"1","key":"1444_CR8","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1137\/S1052623402407382","volume":"17","author":"R Fletcher","year":"2006","unstructured":"Fletcher, R., Leyffer, S., Ralph, D., Scholtes, S.: Local convergence of SQP methods for mathematical programs with equilibrium constraints. SIAM J. Optim. 17(1), 259\u2013286 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"1444_CR9","doi-asserted-by":"publisher","first-page":"234","DOI":"10.1007\/s10957-014-0699-z","volume":"166","author":"L Guo","year":"2015","unstructured":"Guo, L., Lin, G.H., Ye, J.J.: Solving mathematical programs with equilibrium constraints. J. Optim. Theory Appl. 166(1), 234\u2013256 (2015)","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"1444_CR10","first-page":"213","volume":"2","author":"P Guo","year":"2010","unstructured":"Guo, P.: One-shot decision approach and its application to duopoly market. Int. J. Inf. Decis. Sci. 2(3), 213\u2013232 (2010)","journal-title":"Int. J. Inf. Decis. Sci."},{"issue":"3","key":"1444_CR11","doi-asserted-by":"crossref","first-page":"238","DOI":"10.53383\/100127","volume":"13","author":"P Guo","year":"2010","unstructured":"Guo, P.: Private real estate investment analysis within one-shot decision framework. Int. Real Estate Rev. 13(3), 238\u2013260 (2010)","journal-title":"Int. Real Estate Rev."},{"issue":"5","key":"1444_CR12","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1109\/TSMCA.2010.2093891","volume":"41","author":"P Guo","year":"2011","unstructured":"Guo, P.: One-shot decision theory. IEEE Trans. Syst. Man Cybern. A Syst. Hum. 41(5), 917\u2013926 (2011)","journal-title":"IEEE Trans. Syst. Man Cybern. A Syst. Hum."},{"issue":"3","key":"1444_CR13","doi-asserted-by":"publisher","first-page":"1034","DOI":"10.1016\/j.ejor.2019.01.019","volume":"276","author":"P Guo","year":"2019","unstructured":"Guo, P.: Focus theory of choice and its application to resolving the St. Petersburg, Allais, and Ellsberg paradoxes and other anomalies. Eur. J. Oper. Res. 276(3), 1034\u20131043 (2019)","journal-title":"Eur. J. Oper. Res."},{"issue":"6","key":"1444_CR14","doi-asserted-by":"publisher","first-page":"786","DOI":"10.1080\/18756891.2010.9727741","volume":"3","author":"P Guo","year":"2010","unstructured":"Guo, P., Yan, R., Wang, J.: Duopoly market analysis within one-shot decision framework with asymmetric possibilistic information. Int. J. Comput. Int. Syst. 3(6), 786\u2013796 (2010)","journal-title":"Int. J. Comput. Int. Syst."},{"issue":"2","key":"1444_CR15","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1016\/j.ejor.2013.12.038","volume":"236","author":"P Guo","year":"2014","unstructured":"Guo, P., Li, Y.: Approaches to multistage one-shot decision making. Eur. J. Oper. Res. 236(2), 612\u2013623 (2014)","journal-title":"Eur. J. Oper. Res."},{"issue":"2","key":"1444_CR16","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1016\/j.ejor.2014.05.028","volume":"239","author":"P Guo","year":"2014","unstructured":"Guo, P., Ma, X.: Newsvendor models for innovative products with one-shot decision theory. Eur. J. Oper. Res. 239(2), 523\u2013536 (2014)","journal-title":"Eur. J. Oper. Res."},{"key":"1444_CR17","doi-asserted-by":"publisher","unstructured":"Guo, P., Zhu, X.: Focus programming: a fundamental alternative for stochastic optimization problems (2019). Available at SSRN, https:\/\/ssrn.com\/abstract=3334211 or https:\/\/doi.org\/10.2139\/ssrn.3334211","DOI":"10.2139\/ssrn.3334211"},{"issue":"1\u20132","key":"1444_CR18","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/s10107-011-0488-5","volume":"137","author":"T Hoheisel","year":"2013","unstructured":"Hoheisel, T., Kanzow, C., Schwartz, A.: Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Math. Program. 137(1\u20132), 257\u2013288 (2013)","journal-title":"Math. Program."},{"issue":"1\u20132","key":"1444_CR19","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1007\/s10107-013-0633-4","volume":"144","author":"GH Lin","year":"2014","unstructured":"Lin, G.H., Xu, M., Ye, J.J.: On solving simple bilevel programs with a nonconvex lower level program. Math. Program. 144(1\u20132), 277\u2013305 (2014)","journal-title":"Math. Program."},{"key":"1444_CR20","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511983658","volume-title":"Mathematical Programs with Equilibrium Constraints","author":"ZQ Luo","year":"1996","unstructured":"Luo, Z.Q., Pang, J.S., Ralph, D.: Mathematical Programs with Equilibrium Constraints. Cambridge University Press, Cambridge (1996)"},{"issue":"4","key":"1444_CR21","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/BF01416737","volume":"34","author":"JV Outrata","year":"1990","unstructured":"Outrata, J.V.: On the numerical solution of a class of Stackelberg problems. Math. Methods Oper. Res. 34(4), 255\u2013277 (1990)","journal-title":"Math. Methods Oper. Res."},{"issue":"1","key":"1444_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1287\/moor.25.1.1.15213","volume":"25","author":"H Scheel","year":"2000","unstructured":"Scheel, H., Scholtes, S.: Mathematical programs with complementarity constraints: stationarity, optimality, and sensitivity. Math. Oper. Res. 25(1), 1\u201322 (2000)","journal-title":"Math. Oper. Res."},{"issue":"3","key":"1444_CR23","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1007\/BF01096458","volume":"5","author":"LN Vicente","year":"1994","unstructured":"Vicente, L.N., Calamai, P.H.: Bilevel and multilevel programming: a bibliography review. J. Global Optim. 5(3), 291\u2013306 (1994)","journal-title":"J. Global Optim."},{"key":"1444_CR24","volume-title":"The Theory of the Market Economy","author":"H von Stackelberg","year":"1952","unstructured":"von Stackelberg, H.: The Theory of the Market Economy. Oxford University Press, Oxford (1952)"},{"issue":"3","key":"1444_CR25","doi-asserted-by":"publisher","first-page":"994","DOI":"10.1016\/j.ejor.2017.03.024","volume":"261","author":"C Wang","year":"2017","unstructured":"Wang, C., Guo, P.: Behavioral models for first-price sealed-bid auctions with the one-shot decision theory. Eur. J. Oper. Res. 261(3), 994\u20131000 (2017)","journal-title":"Eur. J. Oper. Res."},{"issue":"1","key":"1444_CR26","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/j.jmaa.2004.10.032","volume":"307","author":"JJ Ye","year":"2005","unstructured":"Ye, J.J.: Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints. J. Math. Anal. Appl. 307(1), 350\u2013369 (2005)","journal-title":"J. Math. Anal. Appl."},{"issue":"2","key":"1444_CR27","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1137\/S1052623493257344","volume":"7","author":"JJ Ye","year":"1997","unstructured":"Ye, J.J., Zhu, D.L., Zhu, Q.J.: Exact penalization and necessary optimality conditions for generalized bilevel programming problems. SIAM J. Optim. 7(2), 481\u2013507 (1997)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"1444_CR28","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/s00186-017-0592-2","volume":"86","author":"X Zhu","year":"2017","unstructured":"Zhu, X., Guo, P.: Approaches to four types of bilevel programming problems with nonconvex nonsmooth lower level programs and their applications to newsvendor problems. Math. Methods Oper. Res. 86(2), 255\u2013275 (2017)","journal-title":"Math. Methods Oper. Res."},{"key":"1444_CR29","doi-asserted-by":"publisher","DOI":"10.1007\/s10288-019-00407-z","author":"X Zhu","year":"2019","unstructured":"Zhu, X., Guo, P.: Bilevel programming approaches to production planning for multiple products with short life cycles. 4OR-Q. J. Oper. Res. (2019). https:\/\/doi.org\/10.1007\/s10288-019-00407-z","journal-title":"4OR-Q. J. Oper. Res."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01444-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-019-01444-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01444-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,21]],"date-time":"2022-09-21T07:14:17Z","timestamp":1663744457000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-019-01444-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,20]]},"references-count":29,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["1444"],"URL":"https:\/\/doi.org\/10.1007\/s11590-019-01444-7","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"type":"print","value":"1862-4472"},{"type":"electronic","value":"1862-4480"}],"subject":[],"published":{"date-parts":[[2019,6,20]]},"assertion":[{"value":"14 September 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 June 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 June 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflicts of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}