Geodesic
Connection of some bilevel and nonlinear optimization problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 99-103

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In this paper we reduce a quadratic-linear bilevel optimization problem with a guaranteed solution to a family of bilevel problems in the optimistic statement. Then we reduce the obtained bilevel problems to nonconvex one-level optimization problems for solving the latter by nonconvex optimization methods.
Keywords: bilevel optimization problems, guaranteed (pessimistic) solution, nonconvex optimization problems. 
@article{IVM_2011_4_a9,
     author = {A. V. Malyshev and A. S. Strekalovsky},
     title = {Connection of some bilevel and nonlinear optimization problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {99--103},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a9/}
}
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A. V. Malyshev; A. S. Strekalovsky. Connection of some bilevel and nonlinear optimization problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 99-103. http://geodesic.mathdoc.fr/item/IVM_2011_4_a9/