{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T22:40:41Z","timestamp":1743028841984,"version":"3.40.3"},"publisher-location":"Cham","reference-count":62,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319179957"},{"type":"electronic","value":"9783319179964"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-17996-4_1","type":"book-chapter","created":{"date-parts":[[2015,4,21]],"date-time":"2015-04-21T14:35:44Z","timestamp":1429626944000},"page":"3-13","source":"Crossref","is-referenced-by-count":0,"title":["A Cutting Plane Approach for Solving Linear Bilevel Programming Problems"],"prefix":"10.1007","author":[{"given":"Almas","family":"Jahanshahloo","sequence":"first","affiliation":[]},{"given":"Majid","family":"Zohrehbandian","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"1-2","key":"1_CR1","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s10107-012-0535-x","volume":"138","author":"G.B. Allende","year":"2013","unstructured":"Allende, G.B., Still, G.: Solving bilevel programs with the KKT-approach. Mathematical Programming, Ser. A\u00a0138(1-2), 309\u2013332 (2013)","journal-title":"Mathematical Programming, Ser. A"},{"key":"1_CR2","doi-asserted-by":"crossref","unstructured":"Anandalingam, G., Friesz, T.L.: Hierarchical optimization. Annals of Operations Research\u00a034 (1992)","DOI":"10.1007\/BF02098169"},{"key":"1_CR3","doi-asserted-by":"publisher","first-page":"1170","DOI":"10.1109\/9.58565","volume":"35","author":"G. Anandalingam","year":"1990","unstructured":"Anandalingam, G., White, D.: A solution method for the linear static Stackelberg problem using penalty functions. IEEE Trans. Automat. Contr.\u00a035, 1170\u20131173 (1990)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"1_CR4","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1007\/s10898-012-9870-y","volume":"52","author":"P.N. Anh","year":"2012","unstructured":"Anh, P.N., Kim, J.K., Muu, L.D.: An extra gradient algorithm for solving bilevel pseudomonotone variational inequalities. Journal of Global Optimization\u00a052, 627\u2013639 (2012)","journal-title":"Journal of Global Optimization"},{"key":"1_CR5","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/s10957-007-9209-x","volume":"135","author":"T.Q. Bao","year":"2007","unstructured":"Bao, T.Q., Gupta, P., Mordukhovich, B.S.: Necessary conditions in multiobjective optimization with equilibrium constraints. Journal of Optimization Theory and Applications\u00a0135, 179\u2013203 (2007)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2836-1","volume-title":"Practical Bilevel Optimization","author":"J. Bard","year":"1998","unstructured":"Bard, J.: Practical Bilevel Optimization. Kluwer Academic, Dordrecht (1998)"},{"key":"1_CR7","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/0305-0548(82)90007-7","volume":"9","author":"J. Bard","year":"1982","unstructured":"Bard, J., Falk, J.: An explicit solution to the multi-level programming problem. Comput. Oper. Res.\u00a09, 77\u2013100 (1982)","journal-title":"Comput. Oper. Res."},{"key":"1_CR8","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1002\/1520-6750(199204)39:3<419::AID-NAV3220390310>3.0.CO;2-C","volume":"39","author":"J. Bard","year":"1992","unstructured":"Bard, J., Moore, J.: An algorithm for the discrete bilevel programming problem. Nav. Res. Logist.\u00a039, 419\u2013435 (1992)","journal-title":"Nav. Res. Logist."},{"key":"1_CR9","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1109\/TAC.1982.1102880","volume":"27","author":"W. Bialas","year":"1982","unstructured":"Bialas, W., Karwan, M.: On two-level optimization. IEEE Transactions on Automatic Control\u00a027, 211\u2013214 (1982)","journal-title":"IEEE Transactions on Automatic Control"},{"key":"1_CR10","doi-asserted-by":"publisher","first-page":"1004","DOI":"10.1287\/mnsc.30.8.1004","volume":"30","author":"W. Bialas","year":"1984","unstructured":"Bialas, W., Karwan, M.: Two level linear programming. Management Science\u00a030, 1004\u20131020 (1984)","journal-title":"Management Science"},{"key":"1_CR11","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1287\/opre.21.1.37","volume":"21","author":"J. Bracken","year":"1973","unstructured":"Bracken, J., McGill, J.: Mathematical programs with optimization problems in the constraints. Operations Research\u00a021, 37\u201344 (1973)","journal-title":"Operations Research"},{"key":"1_CR12","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1007\/s10898-011-9762-6","volume":"53","author":"H.I. Calvete","year":"2012","unstructured":"Calvete, H.I., Gale, C., Dempe, S., Lohse, S.: Bilevel problems over polyhedral with extreme point optimal solutions. Journal of Global Optimization\u00a053, 573\u2013586 (2012)","journal-title":"Journal of Global Optimization"},{"key":"1_CR13","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/0305-0548(82)90006-5","volume":"9","author":"W. Candler","year":"1982","unstructured":"Candler, W., Townsley, R.: A linear twolevel programming problem. Computers and Operations Research\u00a09, 59\u201376 (1982)","journal-title":"Computers and Operations Research"},{"key":"1_CR14","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/s10288-005-0071-0","volume":"3","author":"B. Colson","year":"2005","unstructured":"Colson, B., Marcotte, P., Savard, G.: Bilevel programming: A survey. 4OR\u00a03, 87\u2013107 (2005)","journal-title":"4OR"},{"key":"1_CR15","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. Annals of Operations Research\u00a0153, 235\u2013256 (2007)","journal-title":"Annals of Operations Research"},{"key":"1_CR16","volume-title":"Foundations of Bilevel Programming","author":"S. Dempe","year":"2002","unstructured":"Dempe, S.: Foundations of Bilevel Programming. Kluwer Academic, Dordrecht (2002)"},{"key":"1_CR17","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s10107-010-0342-1","volume":"131","author":"S. Dempe","year":"2012","unstructured":"Dempe, S., Dutta, J.: Is bilevel programming a special case of a mathematical program with complementarity constraints? Mathematical Programming, Ser. A\u00a0131, 37\u201348 (2012)","journal-title":"Mathematical Programming, Ser. A"},{"issue":"1","key":"1_CR18","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1007\/s10957-012-0161-z","volume":"157","author":"S. Dempe","year":"2013","unstructured":"Dempe, S., Gadhi, N., Zemkoho, A.B.: New Optimality Conditions for the Semivectorial Bilevel Optimization Problem. Journal of Optimization Theory and Applications\u00a0157(1), 54\u201374 (2013)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR19","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1007\/s10957-010-9744-8","volume":"148","author":"S. Dempe","year":"2011","unstructured":"Dempe, S., Zemkoho, A.B.: The Generalized Mangasarian-Fromowitz Constraint Qualification and Optimality Conditions for Bilevel Programs. Journal of Optimization Theory and Applications\u00a0148, 46\u201368 (2011)","journal-title":"Journal of Optimization Theory and Applications"},{"issue":"1-2","key":"1_CR20","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. Mathematical Programming, Ser. A\u00a0138(1-2), 447\u2013473 (2013)","journal-title":"Mathematical Programming, Ser. A"},{"issue":"3","key":"1_CR21","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1007\/s10898-011-9724-z","volume":"53","author":"X.P. Ding","year":"2012","unstructured":"Ding, X.P.: Existence and iterative algorithm of solutions for a class of bilevel generalized mixed equilibrium problems in Banach spaces. Journal of Global Optimization\u00a053(3), 525\u2013537 (2012)","journal-title":"Journal of Global Optimization"},{"issue":"2","key":"1_CR22","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/s10898-011-9712-3","volume":"53","author":"X.P. Ding","year":"2012","unstructured":"Ding, X.P., Liou, Y.C., Yao, J.C.: Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces. Journal of Global Optimization\u00a053(2), 331\u2013346 (2012)","journal-title":"Journal of Global Optimization"},{"key":"1_CR23","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s10107-009-0323-4","volume":"123","author":"N. Dinh","year":"2010","unstructured":"Dinh, N., Mordukhovich, B.S., Nghia, T.T.A.: Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs. Mathematical Programming\u00a0123, 101\u2013138 (2010)","journal-title":"Mathematical Programming"},{"issue":"3","key":"1_CR24","doi-asserted-by":"publisher","first-page":"606","DOI":"10.1007\/s10957-012-0210-7","volume":"159","author":"D. Dorsch","year":"2013","unstructured":"Dorsch, D., Jongen, H.T., Shikhman, V.: On Intrinsic Complexity of Nash Equilibrium Problems and Bilevel Optimization. Journal of Optimization Theory and Applications\u00a0159(3), 606\u2013634 (2013)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR25","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/s10107-008-0259-0","volume":"123","author":"G. Eichfelder","year":"2010","unstructured":"Eichfelder, G.: Multiobjective bilevel optimization. Mathematical Programming, Ser. A\u00a0123, 419\u2013449 (2010)","journal-title":"Mathematical Programming, Ser. A"},{"key":"1_CR26","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1007\/s10898-009-9482-3","volume":"47","author":"J.B.E. Etoa","year":"2010","unstructured":"Etoa, J.B.E.: Solving convex quadratic bilevel programming problems using an enumeration sequential quadratic programming algorithm. Journal of Global Optimization\u00a047, 615\u2013637 (2010)","journal-title":"Journal of Global Optimization"},{"key":"1_CR27","doi-asserted-by":"crossref","unstructured":"Fang, S., Guo, P., Li, M., Zhang, L.: Bilevel Multiobjective Programming Applied to Water Resources Allocation. Mathematical Problems in Engineering, Article ID 837919 2013 (2013)","DOI":"10.1155\/2013\/837919"},{"key":"1_CR28","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1057\/jors.1981.156","volume":"32","author":"J. Fortuny-Amat","year":"1981","unstructured":"Fortuny-Amat, J., McCarl, B.: A representation and economic interpretation of a two-level programming problem. J. Oper. Res. Soc.\u00a032, 783\u2013792 (1981)","journal-title":"J. Oper. Res. Soc."},{"key":"1_CR29","unstructured":"Fulop, J.: On the equivalence between a linear bilevel programming problem and linear optimization over the efficient set. Technical Report WP93-1, Laboratory of Operations Research and Decision Systems, Computer and Automation Institute, Hungarian Academy of Sciences (1993)"},{"key":"1_CR30","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1007\/s10957-012-0046-1","volume":"155","author":"N. Gadhi","year":"2012","unstructured":"Gadhi, N., Dempe, S.: Necessary Optimality Conditions and a New Approach to Multiobjective Bilevel Optimization Problems. Journal of Optimization Theory and Applications\u00a0155, 100\u2013114 (2012)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR31","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1007\/s10957-008-9467-2","volume":"140","author":"J. Glackin","year":"2009","unstructured":"Glackin, J., Ecker, J.G., Kupferschmid, M.: Solving Bilevel Linear Programs Using Multiple Objective Linear Programming. Journal of Optimization Theory and Applications\u00a0140, 197\u2013212 (2009)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR32","first-page":"1194","volume":"13","author":"P. Hansen","year":"1992","unstructured":"Hansen, P., Jaumard, B., Savard, G.: New branch-and-bound rules for linear bilevel programming. SIAM J. Control Optim.\u00a013, 1194\u20131217 (1992)","journal-title":"SIAM J. Control Optim."},{"key":"1_CR33","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/0167-6377(88)90066-1","volume":"7","author":"P. Harker","year":"1988","unstructured":"Harker, P., Pang, J.: Existence of optimal solutions to mathematical programs with equilibrium constraints. Oper. Res. Lett.\u00a07, 61\u201364 (1988)","journal-title":"Oper. Res. Lett."},{"issue":"6","key":"1_CR34","doi-asserted-by":"publisher","first-page":"951","DOI":"10.1080\/00036811.2010.495339","volume":"90","author":"R. Henrion","year":"2011","unstructured":"Henrion, R., Surowiec, T.: On calmness conditions in convex bilevel programming. Applicable Analysis\u00a090(6), 951\u2013970 (2011)","journal-title":"Applicable Analysis"},{"issue":"1-2","key":"1_CR35","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1007\/s10107-012-0591-2","volume":"142","author":"B. Houska","year":"2013","unstructured":"Houska, B., Diehl, M.: Nonlinear robust optimization via sequential convex bilevel programming. Mathematical Programming, Ser. A\u00a0142(1-2), 539\u2013577 (2013)","journal-title":"Mathematical Programming, Ser. A"},{"key":"1_CR36","doi-asserted-by":"publisher","first-page":"610","DOI":"10.1016\/j.apm.2007.02.007","volume":"32","author":"S. Huijun","year":"2008","unstructured":"Huijun, S., Ziyou, G., Jianjun, W.: A bi-level programming model and solution algorithm for the location of logistics distribution centers. Applied Mathematical Modelling\u00a032, 610\u2013616 (2008)","journal-title":"Applied Mathematical Modelling"},{"key":"1_CR37","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1186\/1029-242X-2013-200","volume":"2013","author":"A. Jayswal","year":"2013","unstructured":"Jayswal, A., Prasad, A.K., Ahmad, I., Agarwal, R.P.: Duality for semi-infinite programming problems involving (Hp,r)-invex functions. Journal of Inequalities and Applications\u00a02013, 200 (2013)","journal-title":"Journal of Inequalities and Applications"},{"key":"1_CR38","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/s10107-012-0551-x","volume":"136","author":"H.T. Jongen","year":"2012","unstructured":"Jongen, H.T., Shikhman, V.: Bilevel optimization: on the structure of the feasible set. Mathematical Programming, Ser. B\u00a0136, 65\u201389 (2012)","journal-title":"Mathematical Programming, Ser. B"},{"key":"1_CR39","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF02098174","volume":"34","author":"J. Judice","year":"1992","unstructured":"Judice, J., Faustino, A.: A sequential LCP method for bilevel linear programming. Annals of Operations Research\u00a034, 89\u2013106 (1992)","journal-title":"Annals of Operations Research"},{"key":"1_CR40","doi-asserted-by":"publisher","first-page":"632","DOI":"10.1007\/s10957-011-9941-0","volume":"152","author":"B. Kohli","year":"2012","unstructured":"Kohli, B.: Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors. J. Optim. Theory. Appl.\u00a0152, 632\u2013651 (2012)","journal-title":"J. Optim. Theory. Appl."},{"key":"1_CR41","doi-asserted-by":"crossref","unstructured":"Lin, L.J., Chuang, C.S.: Saddle Point Problems, Bilevel Problems, and Mathematical Program with Equilibrium Constraint on Complete Metric Spaces. Journal of Inequalities and Applications, Article ID 306403 2010 (2010)","DOI":"10.1155\/2010\/306403"},{"key":"1_CR42","doi-asserted-by":"crossref","unstructured":"Liou, Y.C., Yao, J.C.: Bilevel Decision via Variational Inequalities. Computers and Mathematics with Applications 49, 1243\u20131253 (2005)","DOI":"10.1016\/j.camwa.2004.05.014"},{"key":"1_CR43","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1186\/1029-242X-2014-41","volume":"2014","author":"B. Liu","year":"2014","unstructured":"Liu, B., Wan, Z., Chen, J., Wang, G.: Optimality conditions for pessimistic semivectorial bilevel programming problems. Journal of Inequalities and Applications\u00a02014, 41 (2014)","journal-title":"Journal of Inequalities and Applications"},{"key":"1_CR44","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1016\/j.aml.2009.09.007","volume":"23","author":"Y. Lv","year":"2010","unstructured":"Lv, Y., Chena, Z., Wan, Z.: A penalty function method based on bilevel programming for solving inverse optimal value problems. Applied Mathematics Letters\u00a023, 170\u2013175 (2010)","journal-title":"Applied Mathematics Letters"},{"key":"1_CR45","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/j.cam.2007.08.005","volume":"220","author":"Y. Lv","year":"2008","unstructured":"Lv, Y., Hua, T., Wan, Z.: A penalty function method for solving inverse optimal value problem. Journal of Computational and Applied Mathematics\u00a0220, 175\u2013180 (2008)","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"1_CR46","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/s10957-011-9945-9","volume":"153","author":"Z. Meng","year":"2012","unstructured":"Meng, Z., Dang, C., Shen, R., Jiang, M.: An Objective Penalty Function of Bilevel Programming. Journal of Optimization Theory and Applications\u00a0153, 377\u2013387 (2012)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR47","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10589-009-9295-9","volume":"49","author":"A.G. Mersha","year":"2011","unstructured":"Mersha, A.G., Dempe, S.: Direct search algorithm for bilevel programming problems. Comput. Optim. Appl.\u00a049, 1\u201315 (2011)","journal-title":"Comput. Optim. Appl."},{"key":"1_CR48","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0307-7","volume-title":"Multilevel Optimization: Algorithms and Applications","author":"A. Migdalas","year":"1998","unstructured":"Migdalas, A., Pardalos, P.M., Varbrand, P.: Multilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers, Dordrecht (1998)"},{"key":"1_CR49","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1007\/s10957-011-9940-1","volume":"152","author":"B.S. Mordukhovich","year":"2012","unstructured":"Mordukhovich, B.S., Nam, N.M., Phan, H.M.: Variational Analysis of Marginal Functions with Applications to Bilevel Programming. Journal of Optimization Theory and Applications\u00a0152, 557\u2013586 (2012)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR50","doi-asserted-by":"crossref","unstructured":"Ren, A., Wang, Y., Jia, F.: A Hybrid Estimation of Distribution Algorithm and Nelder-Mead Simplex Method for Solving a Class of Nonlinear Bilevel Programming Problems. Journal of Applied Mathematics, Article ID 2013 378568 (2013)","DOI":"10.1155\/2013\/378568"},{"key":"1_CR51","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1007\/s10957-011-9943-y","volume":"153","author":"S. Ruuska","year":"2012","unstructured":"Ruuska, S., Miettinen, K., Wiecek, M.M.: Connections Between Single-Level and Bilevel Multiobjective Optimization. J. Optim. Theory. Appl.\u00a0153, 60\u201374 (2012)","journal-title":"J. Optim. Theory. Appl."},{"key":"1_CR52","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1007\/s10898-004-7739-4","volume":"33","author":"C. Shi","year":"2005","unstructured":"Shi, C., Zhang, G., Lu, J.: The Kth-Best Approach for Linear Bilevel Multi-follower Programming. Journal of Global Optimization\u00a033, 563\u2013578 (2005)","journal-title":"Journal of Global Optimization"},{"key":"1_CR53","doi-asserted-by":"publisher","first-page":"714","DOI":"10.1016\/j.disopt.2008.04.004","volume":"5","author":"K.A. Sonia","year":"2008","unstructured":"Sonia, K.A., Puri, M.C.: Bilevel time minimizing transportation problem. Discrete Optimization\u00a05, 714\u2013723 (2008)","journal-title":"Discrete Optimization"},{"key":"1_CR54","doi-asserted-by":"crossref","unstructured":"Sun, X., Lu, H.P., Chu, W.J.: A Low-Carbon-Based Bilevel Optimization Model for Public Transit Network. Mathematical Problems in Engineering, Article ID 374826 2013 (2013)","DOI":"10.1155\/2013\/374826"},{"key":"1_CR55","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10957-011-9819-1","volume":"150","author":"S.K. Suneja","year":"2011","unstructured":"Suneja, S.K., Kohli, B.: Optimality and Duality Results for Bilevel Programming Problem Using Convexifactors. Journal of Optimization Theory and Applications\u00a0150, 1\u201319 (2011)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR56","volume-title":"The theory of market economy","author":"H. Stackelberg","year":"1952","unstructured":"Stackelberg, H.: The theory of market economy. Oxford University Press, Oxford (1952)"},{"key":"1_CR57","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/s10898-009-9514-z","volume":"48","author":"A.S. Strekalovsky","year":"2010","unstructured":"Strekalovsky, A.S., Orlov, A.V., Malyshev, A.V.: On computational search for optimistic solutions in bilevel problems. Journal of Global Optimization\u00a048, 159\u2013172 (2010)","journal-title":"Journal of Global Optimization"},{"key":"1_CR58","doi-asserted-by":"crossref","unstructured":"Xu, J., Tu, Y., Zeng, Z.: A Nonlinear Multiobjective Bilevel Model for Minimum Cost Network Flow Problem in a Large-Scale Construction Project. Mathematical Problems in Engineering, Article ID 463976 2012 (2012)","DOI":"10.1155\/2012\/463976"},{"key":"1_CR59","doi-asserted-by":"crossref","unstructured":"Yao, L., Xu, J.: A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System. Abstract and Applied Analysis, Article ID 312527 2013 (2013)","DOI":"10.1155\/2013\/312527"},{"issue":"1","key":"1_CR60","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1287\/moor.1100.0480","volume":"36","author":"J.J. Ye","year":"2011","unstructured":"Ye, J.J.: Necessary optimality conditions for multiobjective bilevel programs. Math. Oper. Res.\u00a036(1), 165\u2013184 (2011)","journal-title":"Math. Oper. Res."},{"key":"1_CR61","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1080\/02331939508844060","volume":"33","author":"J.J. Ye","year":"1995","unstructured":"Ye, J.J., Zhu, D.L.: Optimality conditions for bilevel programming problems. Optimization\u00a033, 9\u201327 (1995)","journal-title":"Optimization"},{"key":"1_CR62","doi-asserted-by":"publisher","first-page":"1885","DOI":"10.1137\/080725088","volume":"20","author":"J.J. Ye","year":"2010","unstructured":"Ye, J.J., Zhu, D.L.: New necessary optimality conditions for bilevel programs by combining MPEC and the value function approach. SIAM J. Optim.\u00a020, 1885\u20131905 (2010)","journal-title":"SIAM J. Optim."}],"container-title":["Advances in Intelligent Systems and Computing","Advanced Computational Methods for Knowledge Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-17996-4_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,22]],"date-time":"2023-02-22T12:19:37Z","timestamp":1677068377000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-17996-4_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319179957","9783319179964"],"references-count":62,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-17996-4_1","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2015]]}}}