Stochastic generalized gradient method for nonconvex nonsmooth stochastic optimization (original) (raw)
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References
- Yu. M. Ermoliev and V. I. Norkin, “On nonsmooth and discontinuous problems of stochastic systems optimization,” Eur. J. Oper. Res.,101, 230–244 (1997).
Article MATH Google Scholar - Yu. M. Ermoliev, V. I. Norkin, and R. J.-B. Wets, “The minimization of semicontinuous functions: mollifier subgradients,” SIAM J. Contr. Optim.,33, No. 1, 149–167 (1995).
Article MATH MathSciNet Google Scholar - P. Glynn, Optimization of Stochastic Systems via Simulation, Technical Report No. 43, Stanford University, Palo Alto, CA (1989).
Google Scholar - Y. G. Ho and X. R. Cao, Discrete Event Dynamic Systems and Perturbation Analysis, Kluwer, Boston (1991).
Google Scholar - R. Suri, “Perturbation analysis: the state of the art and research issues explained via the GI/G/1 queue,” Proc. IEEE,77, No. 1,114–137 (1989).
Article Google Scholar - A. A. Gaivoronski, “Optimization of stochastic discrete event dynamic systems: a survey of some recent results,” in: Simulation and Optimization, Lect. Notes Econ. Math. Sys., Vol. 374, G. Pflug and U. Dieter (eds.), Springer, Berlin, (1992), pp. 24–44.
Google Scholar - R. Y. Rubinstein and A. Shapiro, The Optimization of Discrete Event Dynamic Systems by the Score Function Method, Wiley, New York (1993).
Google Scholar - A. M. Gupal, Stochastic Methods for Solving Nonsmooth Extremal Problems [in Russian], Naukova Dumka, Kiev (1979).
Google Scholar - Yu. Ermoliev and A. Gaivoronski, “Stochastic programming techniques for optimization of discrete event systems,” Ann. Oper. Res.,39, 120–135 (1992).
Article MathSciNet Google Scholar - V. I. Norkin, “Nonlocal optimization algorithms for nonsmooth functions,” Kibernetika, No. 5, 75–79 (1978).
- P. A. Dorofeev, “Some properties of the generalized gradient method,” Zh. Vychisl. Matem. Mat. Fiz., 25, No. 2, 181–189 (1985).
MATH MathSciNet Google Scholar - P. A. Dorofeev, “General scheme of iterative minimization methods,” Zh. Vychisl. Matem. Mat. Fiz.,26, No. 4, 536–544 (1986).
MathSciNet Google Scholar - N. K. Krivulin, Optimization of Discrete Event Dynamic Systems by Simulation [in Russian], Abstract of thesis, Leningrad Univ. (1990).
- N. K. Krivulin, “Optimization of complex systems by simulation,” Vestnik Leningrad. Univ., No. 8, 100–102 (1990).
- F. Mirzoakhmedov, “Optimization of a queueing system and a numerical solution method,” Kibernetika, No. 3, 73–75 (1990).
- V. S. Mikhalevich, A. M. Gupal, and V. I. Norkin, Nonconvex Optimization Methods [in Russian], Nauka, Moscow (1987).
Google Scholar - F. Clarke, Optimization and Nonsmooth Analysis [Russian translation], Nauka, Moscow (1988).
MATH Google Scholar - Yu. E. Nesterov, Effective Methods in Nonlinear Programming [in Russian], Radio i Svyaz', Moscow (1989).
Google Scholar - N. Z. Shor, Methods for Minimization of Nondifferentiable Functions and Their Applications [in Russian], Naukova Dumka, Kiev (1979).
Google Scholar - Yu. M. ErmoFev, Stochastic Programming Methods [in Russian], Nauka, Moscow (1976).
Google Scholar - B. T. Polyak, An Introduction to Optimization [in Russian], Nauka, Moscow (1983).
Google Scholar - E. A. Nurminskii, Numerical Methods for Solving Deterministic and Stochastic Minmax Problems [in Russian], Naukova Dumka, Kiev (1979).
Google Scholar - A. M. Gupal and L. G. Bazhenov, “Stochastic analogue of the conjugate gradient method,” Kibernetika, No. 1, 125–126 (1972).
- A. M. Gupal and L. G. Bazhenov, “Stochastic linearization method,” Kibernetika, No. 3, 116–117 (1972).
- A. Ruszczynski, “A method of feasible directions for solving nonsmooth stochastic programming problems,” in: Lect. Notes Contr. Inform. Sei., F. Archetti, G. Di Pillo, and M. Lucertini (eds.), Springer, Berlin (1986), pp. 258–271.
Google Scholar