stochastic programming bibliography - rug

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Stochastic Programming Bibliography Maarten H. van der Vlerk Department of Operations University of Groningen PO Box 800, NL-9700 AV Groningen, The Netherlands E-mail: [email protected] October 8, 2007 One of the sources for this bibliography has been the list of books on Stochastic Programming compiled by J. Dupaˇ cov´ a, which can be found in Wets and Ziemba [4033]. Please send additions (preferably in BibTeX format) or comments to the e-mail address mentioned above. This bibliography can be cited as Maarten H. van der Vlerk. Stochastic Programming Bibliography. World Wide Web, http://mally.eco.rug.nl/spbib.html, 1996-2007. The BibTex entry I use is @MISC{SPB9607, author = {Maarten H. {van der Vlerk}}, title = {Stochastic Programming Bibliography}, year = {1996-2007, howpublished = {World Wide Web, \url{http://mally.eco.rug.nl/spbib.html}} } where the macro \url is defined in the L A T E X style file url.sty. References [1] I.N. Kamal Abadi, Nicholas G. Hall, and Chelliah Sriskandarajah. Minimizing cycle time in a blocking flowshop. Oper. Res., 48(1):177–180, 2000. [2] J. Abaffy and E. Allevi. A modified L -shaped method. J. Optim. Theory Appl., 123(2):255–270, 2004. [3] Moncef Abbas and Fatima Bellahcene. Cutting plane method for multiple objective stochastic integer linear programming. European J. Oper. Res., 168(3):967–984, 2006. [4] N. E. Abboud, M. Y. Jaber, and N. A. Noueihed. Economic lot sizing with the consideration of random machine unavailability time. Comput. Oper. Res., 27(4):335–351, 2000. [5] P. Abel. Decisions in stochastic linear programming models under partial information. Z. Angew. Math. Mech. 73, No.7-8, T 737-T 738, 1993. [6] Peter Abel. Stochastische Optimierung bei partieller Information, volume 96 of Mathematical Systems in Economics. Verlagsgruppe Athen¨ aum/Hain/Hanstein, K¨ onigstein/Ts., 1984. 1

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Page 1: Stochastic Programming Bibliography - RUG

Stochastic Programming Bibliography

Maarten H. van der VlerkDepartment of OperationsUniversity of Groningen

PO Box 800, NL-9700 AV Groningen, The NetherlandsE-mail: [email protected]

October 8, 2007

One of the sources for this bibliography has been the list of books on Stochastic Programming compiledby J. Dupacova, which can be found in Wets and Ziemba [4033].

Please send additions (preferably in BibTeX format) or comments to the e-mail address mentionedabove.

This bibliography can be cited as

Maarten H. van der Vlerk. Stochastic Programming Bibliography. World Wide Web,http://mally.eco.rug.nl/spbib.html, 1996-2007.

The BibTex entry I use is

@MISC{SPB9607,author = {Maarten H. {van der Vlerk}},title = {Stochastic Programming Bibliography},year = {1996-2007,howpublished = {World Wide Web,

\url{http://mally.eco.rug.nl/spbib.html}}}

where the macro \url is defined in the LATEX style file url.sty.

References[1] I.N. Kamal Abadi, Nicholas G. Hall, and Chelliah Sriskandarajah. Minimizing cycle time in a

blocking flowshop. Oper. Res., 48(1):177–180, 2000.

[2] J. Abaffy and E. Allevi. A modified L-shaped method. J. Optim. Theory Appl., 123(2):255–270,2004.

[3] Moncef Abbas and Fatima Bellahcene. Cutting plane method for multiple objective stochasticinteger linear programming. European J. Oper. Res., 168(3):967–984, 2006.

[4] N. E. Abboud, M. Y. Jaber, and N. A. Noueihed. Economic lot sizing with the consideration ofrandom machine unavailability time. Comput. Oper. Res., 27(4):335–351, 2000.

[5] P. Abel. Decisions in stochastic linear programming models under partial information. Z. Angew.Math. Mech. 73, No.7-8, T 737-T 738, 1993.

[6] Peter Abel. Stochastische Optimierung bei partieller Information, volume 96 of MathematicalSystems in Economics. Verlagsgruppe Athenaum/Hain/Hanstein, Konigstein/Ts., 1984.

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[7] Peter Abel. Stochastic linear programming with recourse under partial information. In Probabilityand Bayesian statistics (Innsbruck, 1986), pages 1–6. Plenum, New York, 1987.

[8] Peter Abel and Reiner Thiel. Mehrstufige stochastische Produktionsmodelle. Eine praxisorientierteDarstellung mit programmierten Beispielen. Schriften zur Quantitativen Wirtschaftsforschung, Bd.5. Frankfurt am Main: Rita G. Fischer Verlag., 1981.

[9] Jinane Abounadi, Dimitri P. Bertsekas, and Vivek Borkar. Stochastic approximation for nonexpan-sive maps: application to Q-learning algorithms. SIAM J. Control Optim., 41(1):1–22 (electronic),2002.

[10] L.M. Abramov and I.I. Bockareva. A stochastic programming problem with probabilistic con-straints. Optimal. Planirovanie, 16:3–9, 1970.

[11] G.M. Adamenko. Solution of extremal problems under conditions of incomplete information.Automat. Control Comput. Sci., 14(4):48–55, 1980.

[12] M. Ju. Afanas’ev. An example of the cycling of a stochastic integer algorithm in a bilevel multi-commodity problem. In Methods of function analysis in mathematical economics (Russian), pages111–114. Izdat. “Nauka”, Moscow, 1978.

[13] P. K. Agarwal, B. K. Bhattacharya, and S. Sen. Improved algorithms for uniform partitions ofpoints. Algorithmica, 32(4):521–539, 2002.

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[15] Saligrama Agnihothri, Uday S. Karmarkar, and Peter Kubat. Stochastic allocation rules. Oper. Res.30, 545-555, 1982.

[16] G.A. Agranovich and L.N. Kanov. A method of computing the gradient and the Hessian of thequality criterion in parametric optimization of continuous-discrete stochastic systems. J. Math.Sci., 82(3):3412–3415, 1996. Dynamical systems, No. 13.

[17] S.C. Agrawal. On mixed integer quadratic programs. Naval Res. Logist. Quart., 21:289–297, 1974.

[18] Vipul Agrawal and Sridhar Seshadri. Distribution free bounds for service constrained .Q; r/ in-ventory systems. Naval Res. Logist., 47(8):635–656, 2000.

[19] C.C. Agunwamba. Optimality condition: constraint regularization. Math. Programming, 13(1):38–48, 1977.

[20] Rudolf Ahlswede and Ingo Wegener. Search problems. (Zadachi poiska). Transl. from the German.Moskva: Mir., 1982.

[21] S. Ahmed and N. V. Sahinidis. Robust process planning under uncertainty. Industrial & Engineer-ing Chemistry Research, 37(5):1883–1892, 1998.

[22] Shabbir Ahmed. Mean-risk objectives in stochastic programming. Stochastic Programming E-PrintSeries, http://www.speps.org, 2004.

[23] Shabbir Ahmed. Convexity and decomposition of mean-risk stochastic programs. Math. Program.,106(3, Ser. A):433–446, 2006.

[24] Shabbir Ahmed. Smooth minimization of two-stage stochastic linear programs. OptimizationOnline, http://www.optimization-online.org, 2006.

[25] Shabbir Ahmed, Ulas Cakmak, and Alexander Shapiro. Coherent risk measures in inventory prob-lems. Stochastic Programming E-Print Series, http://www.speps.org, 2006.

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[26] Shabbir Ahmed, Alan J. King, and Gyana Parija. A multi-stage stochastic integer program-ming approach for capacity expansion under uncertainty. Stochastic Programming E-Print Series,http://www.speps.org, 2001.

[27] Shabbir Ahmed, Alan J. King, and Gyana Parija. A multi-stage stochastic integer program-ming approach for capacity expansion under uncertainty. Optimization Online, http://www.optimization-online.org, 2001.

[28] Shabbir Ahmed and Alexander Shapiro. The sample average approximation methodfor stochastic programs with integer recourse. Optimization Online, http://www.optimization-online.org, 2002.

[29] Shabbir Ahmed, Mohit Tawarmalani, and Nikolaos V. Sahinidis. A finite branch-and-bound algo-rithm for two-stage stochastic integer programs. Math. Program., 100(2, Ser. A):355–377, 2004.

[30] Shabbir Ahmed, Mohit Tawarmalani, and Nikolas V. Sahinidis. A finite branch and boundalgorithm for two-stage stochastic integer programs. Stochastic Programming E-Print Series,http://www.speps.org, 2000.

[31] Byong-Hun Ahn and Bo-Woo Nam. Multiperiod optimal power plant mix under demand uncer-tainty. J. Oper. Res. Soc. Jap. 31, No.3, 353-370, 1988.

[32] M. Aicardi, G. Casalino, F. Davoli, R. Minciardi, and R. Zoppoli. A decentralized closed-loopsolution to the routing problem in networks. Annu. Rev. Autom. Program. 13, Part 2, 9-17, 1986.

[33] Z.Zh. Akhmetzhanova and G.M. Bakan. Solution of a programming problem with inexactly spec-ified initial data. Sov. J. Autom. Inf. Sci. 21, No.2, 55-58 translation from Avtomatika 1988, No.2,54-56 (1988)., 1988.

[34] Hisham Al-Mharmah and James M. Calvin. Optimal random non-adaptive algorithm for globaloptimization of Brownian motion. J. Global Optim., 8(1):81–90, 1996.

[35] Hisham A. Al-Mharmah and James M. Calvin. Comparison of one-dimensional composite andnon-composite passive algorithms. J. Global Optim., 15(2):169–180, 1999.

[36] Aureli Alabert i Romero. On the optimization of hydroelectric power generation with randomwater inflows. Questiio, 15(3):307–348, 1991.

[37] Chris M. Alaouze and Peter J. Lloyd. A generalization of Gurland’s theorem, with applications toeconomic behavior under uncertainty. Am. Stat. 40, 70-71, 1986.

[38] Horst Albach. Capital budgeting and risk management. In Quant. Wirtsch.-Forsch., W. Krelle zum60. Geb., 7-24, 1977.

[39] Maria Albareda-Sambola and Elena Fernandez. The stochastic generalised assignment problemwith Bernoulli demands. Top, 8(2):165–190, 2000.

[40] Maria Albareda-Sambola, Maarten H. van der Vlerk, and Elena Fernandez. Exact solutions toa class of stochastic generalized assignment problems. European J. Oper. Res., 173(2):465–487,2006.

[41] Ya. Alber. Dynamical processes of stochastic approximation. Funct. Differ. Equ., 4(3-4):239–256(1998), 1997.

[42] Ya. I. Al’ber and S.V. Shil’man. Stochastic programming methods: convergence and nonasymptoticestimation of the convergence rate. In Stochastic optimization (Kiev, 1984), volume 81 of LectureNotes in Control and Inform. Sci., pages 249–257. Springer, Berlin, 1986.

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[43] Susanne Albers, Rolf H. Mohring, Georg Ch. Pflug, and Rudiger Schultz. 05031 Summary – Al-gorithms for Optimization with Incomplete Information. In S. Albers, R.H. Mohring, G.Ch. Pflug,and R. Schultz, editors, Dagstuhl Seminar 05031: Algorithms for Optimization with IncompleteInformation, http://www.dagstuhl.de/05031, 2005.

[44] V. Albornoz, J. Arrate, and L. Contesse. Solucion de modelos de dimensionamiento de lotes nocapacitados bajo incertidumbre en las demandas. Revista del Instituto Chileno de InvestigacionOperativa, 6(1-2):52–62, 2001.

[45] V. Albornoz and C. Canales. Planificacion de la conservacion y explotacion del langostino coloradousando un modelo de optimizacion estoc stica no-lineal con recurso. Informacion Tecnologica,13(4):??, 2002.

[46] V. Albornoz and L. Contesse. Modelos de optimizacion robusta para un problema de planificacionagregada de la produccion bajo incertidumbre en las demandas. Investigacion Operativa, 7(3):1–16, 1999.

[47] A. Albrecht, S.K. Cheung, K.C. Hui, K.S. Leung, and C.K. Wong. Optimal placements of flexibleobjects. I. Analytical results for the unbounded case. IEEE Trans. Comput., 46(8):890–904, 1997.

[48] A. Albrecht, S.K. Cheung, K.C. Hui, K.S. Leung, and C.K. Wong. Optimal placements of flexibleobjects. II. A simulated annealing approach for the bounded case. IEEE Trans. Comput., 46(8):905–929, 1997.

[49] S.Christian Albright. A Markov-decision-chain approach to a stochastic assignment problem. Op-erations Res. 22, 61-64, 1974.

[50] Michael Albritton, Alexander Shapiro, and Mark Spearman. Finite capacity production planningwith random demand and limited information. Stochastic Programming E-Print Series, http://www.speps.org, 2000.

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[54] A. Alessandri and T. Parisini. Nonlinear modelling of complex large-scale plants using neuralnetworks and stochastic approximation. IEEE Transactions on Systems, Man, and Cybernetics –A, 27:750–757, 1997.

[55] David L. J. Alexander, David Bulger, James M. Calvin, H. Edwin Romeijn, and Ryan L. Sherriff.Approximate implementations of pure random search in the presence of noise. J. Global Optim.,31(4):601–612, 2005.

[56] M. Montaz Ali, Charoenchai Khompatraporn, and Zelda B. Zabinsky. A numerical evaluation ofseveral stochastic algorithms on selected continuous global optimization test problems. J. GlobalOptim., 31(4):635–672, 2005.

[57] M.M. Ali and C. Storey. Topographical multilevel single linkage. J. Global Optim., 5(4):349–358,1994.

[58] M.M. Ali, A. Torn, and S. Viitanen. A numerical comparison of some modified controlled randomsearch algorithms. J. Global Optim., 11(4):377–385, 1997.

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[59] Montaz M. Ali. A probabilistic hybrid differential evolution algorithm. In Models and algorithmsfor global optimization, volume 4 of Springer Optim. Appl., pages 173–184. Springer, New York,2007.

[60] F.M. Allen, R.N. Braswell, and P.V. Rao. Distribution-free approximations for chance constraints.Operations Res., 22(3):610–621, 1974.

[61] Sira Allende and Carlos Bouza. Stochastic programming approaches to the estimation of the meanin stratified population. Investigacion Oper., 14(2-3):109–118, 1993. Workshop on StochasticOptimization: the State of the Art (Havana, 1992).

[62] Sira Allende and Carlos Bouza. Random demands: optimum lot size and the newsboy problem.Investigacion Oper., 23(3):124–129, 2002.

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[78] G. Anandalingam. A stochastic programming process model for investment planning. Comput.Oper. Res. 14, 521-536, 1987.

[79] Yu. G. Anastasyan, V.I. Gershovich, B.A. Yaroshevich, E. I. Nenakhov, O.T. Burlak, M.B. Shchep-akin, and G.G. Murauskas. O nekotorykh algoritmakh negladkoi optimizatsii i diskretnogo pro-grammirovaniya, volume 6 of Preprint 81. Akad. Nauk Ukrain. SSR Inst. Kibernet., Kiev, 1981.

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[112] N.I. Arbuzova. Interdependence of the stochastic �-stabilities of linear and linear fractional pro-gramming problems of a special form. Ekonom. i Mat. Metody, 4:108–110, 1968.

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[906] J. Dupacova. Scenario based stochastic programs: Resistance with respect to sample. Annals ofOper. Res., 64:21–38, 1996.

[907] J. Dupacova. Uncertainty about input data in portfolio management. In M. Bertocchi et al., editor,Modelling Techniques for Financial Markets and Bank Management, pages 17–33. Physica Verlag,1996.

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[911] J. Dupacova. Stress testing via contamination. In Coping with uncertainty, volume 581 of LectureNotes in Econom. and Math. Systems, pages 29–46. Springer, Berlin, 2006.

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[924] J. Dupacova and K. Sladky. Comparison of multistage stochastic programs with recourse andstochastic dynamic programs with discrete time. ZAMM Z. Angew. Math. Mech., 82(11-12):753–765, 2002. 4th GAMM-Workshop “Stochastic Models and Control Theory” (Lutherstadt Witten-berg, 2001).

[925] Jitka Dupacova. Minimax stochastic programs with nonconvex nonseparable penalty functions.In Progress in operations research, Vols. I, II (Proc. Sixth Hungarian Conf., Eger, 1974), pages303–316. Colloq. Math. Soc. Janos Bolyai, Vol. 12, Amsterdam, 1976. North-Holland.

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[927] Jitka Dupacova. Minimax stochastic programs with nonseparable penalties. In Optimization tech-niques (Proc. Ninth IFIP Conf., Warsaw, 1979), Part 1, volume 22 of Lecture Notes in Control andInformation Sci., pages 157–163, Berlin, 1980. Springer.

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[934] Jitka Dupacova. Stochastic programming—model building and selected applications. InvestigacionOper., 10(3):119–134, 1989.

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[936] Jitka Dupacova. On nonnormal asymptotic behavior of optimal solutions for stochastic pro-gramming problems and on related problems of mathematical statistics. Kybernetika (Prague),27(1):38–52, 1991.

[937] Jitka Dupacova. On statistical sensitivity analysis in stochastic programming. Ann. Oper. Res.,30(1-4):199–214, 1991. Stochastic programming, Part I (Ann Arbor, MI, 1989).

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[939] Jitka Dupacova. On interval estimates for optimal value of stochastic programs. In P. Kall, editor,System modelling and optimization (Zurich, 1991), volume 180 of Lecture Notes in Control andInform. Sci., pages 556–563. Springer, Berlin, 1992.

[940] Jitka Dupacova. Applications of stochastic programming under incomplete information. J. Comput.Appl. Math., 56(1-2):113–125, 1994. Stochastic programming: stability, numerical methods andapplications (Gosen, 1992).

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[945] Jitka Dupacova. Postoptimality analysis for scenario based stochastic programs: a survey. InJ. Guddat et al., editor, Parametric optimization and related topics, IV (Enschede, 1995), volume 9of Approx. Optim., pages 43–57, Frankfurt am Main, 1997. Lang.

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[952] Jitka Dupacova. Applications of stochastic programming: achievements and questions. EuropeanJ. Oper. Res., 140(2):281–290, 2002. O.R. for a united Europe (Budapest, 2000).

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[955] Jitka Dupacova. Contamination for multistage stochastic programs. Stochastic Programming E-Print Series, http://www.speps.org, 2006.

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[959] Jitka Dupacova and Zdenek Kos. Chance-constrained and simulation models of water resourcessystems. Ekon.-Mat. Obz. 15, 178-191, 1979.

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[1005] Andreas Eichhorn, Werner Romisch, and Isabel Wegner. Polyhedral Risk Measures and LagrangianRelaxation in Electricity Portfolio Optimization. In S. Albers, R.H. Mohring, G.Ch. Pflug, andR. Schultz, editors, Dagstuhl Seminar 05031: Algorithms for Optimization with Incomplete Infor-mation, http://www.dagstuhl.de/05031, 2005.

[1006] Mark J. Eisner, Robert S. Kaplan, and John V. Soden. Admissible decision rules for the E-modelof chance-constrained programming. Management Sci., Theory 17, 337-353, 1971.

[1007] Mark J. Eisner and Paul Olsen. Duality for stochastic programming interpreted as L. P. in Lp space.SIAM J. appl. Math. 28, 779-792, 1975.

[1008] Mark J. Eisner and Paul Olsen. Duality in probabilistic programming. In Stochastic programming(Proc. Internat. Conf., Univ. Oxford, Oxford, 1974), pages 147–158, London, 1980. AcademicPress.

[1009] Abou-Zaid H. El-Banna and Ebrahim A. Youness. On stability of stochastic multiobjective pro-gramming problems with random coefficients in the objective functions. Matematiche (Catania),49(1):3–9 (1995), 1994.

[1010] M.C. El Bouamri. Minimisation en cascade des programmes convexes a temps discret et a con-trainte convexe non-anticipative. Travaux Sem. Anal. Convexe, 12(2):exp. no. 14, 23, 1982.

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[1012] D.F. Elliott and D.D. Sworder. A variable metric technique for parameter optimization. Automatica-J. IFAC, 5:811–816, 1969.

[1013] R.S. Ellis and R.W. Rishel. An application of stochastic optimal control theory to the optimalrescheduling of airplanes. IEEE Trans. Automatic Control, AC-19:139–142, 1974.

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[1014] Paul M. Ellner and Robert M. Stark. On the distribution of the optimal value for a class of stochasticgeometric programs. Naval Res. Logist. Quart., 27(4):549–571, 1980.

[1015] E.A. Elsayed and Mohammed Ettouney. Perturbation analysis of linear programming problemswith random parameters. Comput. Oper. Res. 21, No.2, 211-224, 1994.

[1016] K. H. Elster and R. Elster. Optimization of c-orthogonal posynomials. Acta Math. Vietnam.,22(1):71–105, 1997.

[1017] V.A. Emelicev and A.M. Kononenko. The number of plans for a multi-index selection problem.Dokl. Akad. Nauk BSSR, 18:677–680, 763, 1974.

[1018] A.K. Enaleev and D.A. Novikov. Optimal stimulation mechanisms in an active system with prob-abilistic uncertainty. I. Avtomat. i Telemekh., 9:117–126, 1995.

[1019] Sebastian Engell, Andreas Markert, Guido Sand, Rudiger Schultz, and Christian Schulz. Onlinescheduling of multiproduct batch plants under uncertainty. In Online optimization of large scalesystems, pages 649–676. Springer, Berlin, 2001.

[1020] Heinz W. Engl. Existence of measurable optima in stochastic nonlinear programming and control.Appl. Math. Optimization 5, 271-281, 1979.

[1021] Katherine Bennett Ensor and Peter W. Glynn. Stochastic optimization via grid search. In Math-ematics of stochastic manufacturing systems (Williamsburg, VA, 1996), volume 33 of Lectures inAppl. Math., pages 89–100, Providence, RI, 1997. Amer. Math. Soc.

[1022] Robert Entriken. Language constructs for modeling stochastic linear programs. Ann. Oper Res.,104:49–66 (2002), 2001. Modeling languages and systems.

[1023] Leah Epstein and Asaf Levin. Tracking mobile users. In S. Albers, R.H. Mohring, G.Ch. Pflug,and R. Schultz, editors, Dagstuhl Seminar 05031: Algorithms for Optimization with IncompleteInformation, http://www.dagstuhl.de/05031, 2005.

[1024] Leah Epstein and Rob van Stee. Online scheduling of splittable tasks. In S. Albers, R.H. Mohring,G.Ch. Pflug, and R. Schultz, editors, Dagstuhl Seminar 05031: Algorithms for Optimization withIncomplete Information, http://www.dagstuhl.de/05031, 2005.

[1025] E. Erdogan and G. Iyengar. Ambiguous chance constrained problems and robust optimization.Stochastic Programming E-Print Series, http://www.speps.org, 2005.

[1026] E. Erdogan and G. Iyengar. Ambiguous chance constrained problems and robust optimization.Math. Program., 107(1-2, Ser. B):37–61, 2006.

[1027] E. Erdogan and G. Iyengar. On two-stage convex chance constrained problems. Stochastic Pro-gramming E-Print Series, http://www.speps.org, 2006.

[1028] I.I. Eremin and Vl.D. Mazurov. Nonstationary processes for mathematical programming problemsunder the conditions of poorly formalized constraints and incomplete defining information. InOptim. Techn., IFIP techn. Conf. Novosibirsk 1974, Lect. Notes Comput. Sci. 27, 37-41, 1975.

[1029] I.I. Eremin and A.A. Vatolin. Duality in improper mathematical programming problems underuncertainty. In Stochastic optimization (Kiev, 1984), volume 81 of Lecture Notes in Control andInform. Sci., pages 326–333. Springer, Berlin, 1986.

[1030] Horst Erfurth and Claus Bendzulla. Die numerische Loesung eines speziellen Systems 1. Ordnungmit verteilten Parametern. (Numerical solution of a special first-order system with distributed pa-rameters). Wiss. Z. Tech. Hochschule Chemie Carl Schorlemmer Leuna-Merseburg 13, 364- 367,1971.

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[1031] S.M. Ermakov and A.A. Zhiglyavskij. On a random search of a global extremum. Teor. Veroyatn.Primen. 28, No.1, 129-134, 1983.

[1032] S.M. Ermakov and A.A. Zhiglyavskij. On random search for a global extremum. Theory Probab.Appl. 28, 136-141, 1984.

[1033] S.M. Ermakov, A.A. Zhiglyavskij, and V.N. Solntsev. On a random search scheme for the extremumof functions. In Monte Carlo methods in numerical mathematics and mathematical physics, Pap.VI. All-Union Conf., April 1979, Part 1, Novosibirsk 1979, 17-24 , 1979.

[1034] O.V. Ermolenko. The solution of two-stage stochastic problems with nonconvex functions. Kiber-netika (Kiev), 3:100–102, 1976.

[1035] Ju. M. Ermol’ev. Conditions for optimality in stochastic programming problems. In Theory ofoptimal solutions (Proc. Sem., Kiev, 1969), No. 1 (Russian), pages 36–44, Kiev, 1969. Akad. NaukUkrain. SSR.

[1036] Ju. M. Ermol’ev. The method of generalized stochastic gradients and stochastic quasi-Fejer se-quences. Kibernetika (Kiev), 2:73–83, 1969.

[1037] Ju. M. Ermol’ev. A certain general problem of stochastic programming. Kibernetika (Kiev), 3:47–50, 1971.

[1038] Ju. M. Ermol’ev. The convergence of random quasi-Fejer sequences. Kibernetika (Kiev), 4:70–71,1971.

[1039] Ju. M. Ermol’ev. A method of generalized stochastic gradients, and its applications. In Proceed-ings of the Fourth All-Union Conference on Automatic Control—Engineering Cybernetics (Tbil-isi, 1968), Vol. 1: Optimal and adaptive systems (Russian), pages 230–236, 310. Izdat. “Nauka”,Moscow, 1972.

[1040] Ju. M. Ermol’ev. Stochastic models, and optimization methods. Kibernetika (Kiev), 4:109–119,1975.

[1041] Ju. M. Ermol’ev and A.M. Gupal. An analogue of the linearization method in problems of theminimization of nondifferentiable functions. Kibernetika (Kiev), 1:65–68, 1978.

[1042] Ju. M. Ermol’ev and A.I. Jastremskii. Stokhasticheskie modeli i metody v ekonomicheskomplanirovanii. “Nauka”, Moscow, 1979. Ekonomiko-Matematicheskaya Biblioteka. [Mathemati-cal Economics Library].

[1043] Ju. M. Ermol’ev and Ju. M. Kaniovskii. Asymptotic properties of some stochastic programmingmethods with constant step. Zh. Vychisl. Mat. i Mat. Fiz., 19(2):356–366, 556, 1979.

[1044] Ju. M. Ermol’ev and T.P. Mar’janovic. Optimization and simulation. Problemy Kibernet., 27:111–125, 294, 1973. A collection consisting mainly of papers presented at the Second All-Union Con-ference on Problems of Theoretical Cybernetics (Novosibirsk, 1971).

[1045] Ju. M. Ermol’ev and I.M. Mel’nik. Stochastic programming methods with a finite number of tests.Kibernetika (Kiev), 4:52–54, 1974.

[1046] Ju. M. Ermol’ev and F. Mirzoahmedov. Direct methods of stochastic programming in problems ofinventory planning. Kibernetika (Kiev), 6:74–81, 1976.

[1047] Ju. M. Ermol’ev and E.A. Nurminskii. Extremal problems of statistics, and numerical methods forstochastic programming. In Certain questions on simulation and systems control (Russian), pages31–52. Izdat. “Naukova Dumka”, Kiev, 1973.

[1048] Ju. M. Ermol’ev and N.Z. Sor. A method of random search for a two step problem of stochasticprogramming and its generalization. Kibernetika (Kiev), 1:90–92, 1968.

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[1049] Ju. M. Ermol’ev and A.D. Tuniev. Direct methods of solution of certain problems of stochasticprogramming. Kibernetika (Kiev), 4:100–102, 1968.

[1050] Ju. M. Ermol’ev and P.I. Vercenko. The linearization method in limit extremal problems. Kiber-netika (Kiev), 2:65–69, 1976.

[1051] Ju.M. Ermol’ev. Ueber einige Probleme der stochastischen Programmierung. Kibernetika, Kiev1970, No.1, 1-5, 1970.

[1052] Ju.M. Ermol’ev. Ueber ein allgemeines Problem der stochastischen Programmierung. Kibernetika,Kiev 1971, Nr. 3, 47-50, 1971.

[1053] Ju.M. Ermol’ev. Stochastische Modelle und Optimierungsmethoden. Kibernetika, Kiev 1975, Nr.4, 109-119, 1975.

[1054] Ju.M. Ermol’ev and T.P. Mar’janovic. Optimierung und Modellierung. Probl. Kibernetiki 27,111-125, 1973.

[1055] Ju.M. Ermol’ev and I.M. Mel’nik. Ueber Methoden der stochastischen Programmierung mit einerendlichen Zahl von Proben. Kibernetika, Kiev 1974, Nr. 4, 52-54, 1974.

[1056] Ju.M. Ermol’ev and F. Mirzoahmedov. Direkte Methoden der stochastischen Programmierung inProblemen der Vorratsplanung. Kibernetika, Kiev 1976, No.6, 74-81, 1976.

[1057] Ju.M. Ermol’ev and A.D. Tuniev. Random Fejer and quasi-Fejer sequences. Select. Translat. math.Statist. Probab. 13, 143-148, 1973.

[1058] Yu. M. Ermol’ev. The stochastic quasigradient methods and their application to the stochasticprogramming problems with nonsmooth functions. In Survey of mathematical programming (Proc.Ninth Internat. Math. Programming Sympos., Budapest, 1976), Vol. 2, pages 107–115, Amsterdam,1979. North-Holland.

[1059] Yu. M. Ermol’ev and A.A. Gaivoronskii. Stochastic methods for solving minimax problems. Cy-bernetics, 19(4):550–559 (1984), 1983.

[1060] Yu. M. Ermol’ev and Ts. Kh. Nedeva. Questions of the stability of the solution of stochasticprogramming problems. In Methods of investigation of extremal problems, pages 29–34, 120,Kiev, 1981. Akad. Nauk Ukrain. SSR Inst. Kibernet.

[1061] Yu. M. Ermol′ev and V. I. Norkin. On the nonstationary law of large numbers for dependent randomvariables and its application to stochastic optimization. Kibernet. Sistem. Anal., (4):94–106, 190,1998.

[1062] Yu. M. Ermol′ev and V. I. Norkin. The stochastic generalized gradient method for solving non-convex nonsmooth problems of stochastic optimization. Kibernet. Sistem. Anal., (2):50–71, 187,1998.

[1063] Yu.M. Ermol’ev. Methods of stochastic programming. (Metody stokhasticheskogo program-mirovaniya). Optimizatsiya i Issledovanie Operatsij. Moskva: Izdatel’stvo ”Nauka”, GlavnayaRedaktsiya Fiziko-Matematicheskoj Literatury., 1976.

[1064] Yu.M. Ermol’ev and Yu.M. Kaniovskij. Asymptotische Eigenschaften gewisser Methoden derstochastischen Programmierung mit konstantem Schritt. Zh. Vychisl. Mat. Mat. Fiz. 19, 356-366,1979.

[1065] Yu.M. Ermol’ev and I.N. Kovalenko, editors. Mathematical methods in operations research andreliability theory. (Matematicheskie methody issledovaniya operatsij i teorii nadezhnosti). Kiev:Institut Kibernetiki AN USSR., 1978.

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[1066] Yu.M. Ermol’ev, I.I. Lyashko, V.S. Mikhalevich, and V.I. Tyuptya. Mathematical methods in theinvestigation of operations. Textbook for universities. (Matematicheskie metody issledovaniya op-eratsij. Uchebnoe posobie dlya vuzov.). Kiev: Izdatel’skoe Ob’edinenie ”Vishcha Shkola”., 1979.

[1067] Yu.M. Ermol’ev and Ts.Kh. Nedeva. Stability questions of the solution for problems of stochasticprogramming. In Investigation methods for extremal problems, Collect. Artic., Kiev 1981, 29-34,1981.

[1068] Yu.M. Ermol’ev and A.I. Yastremskij. Stochastic models and methods in economic plan-ning. (Stokhasticheskie modeli i metody v ehkonomicheskom planirovanii). Ehkonomiko-Matematicheskaya Biblioteka. Moskva: ”Nauka”., 1979.

[1069] Ermol’ev, Yu. M. Metody stokhasticheskogo programmirovaniya. Izdat. “Nauka”, Moscow, 1976.Optimizatsiyaa i Issledovanie Operatsii. [Monographs in Optimization and Operations Research].

[1070] T.Yu. Ermol’eva. Asymptotic behavior of regression estimators of stochastic processes with priorinequality constraints. Cybernetics 25, No.4, 525-530 translation from Kibernetika 1989, No.4,86-89 (1989)., 1989.

[1071] Y. M. Ermoliev, T. Y. Ermolieva, G. J. MacDonald, and V. I. Norkin. Insurability of catastrophicrisks: the stochastic optimization model. Optimization, 47(3-4):251–265, 2000. Numerical meth-ods for stochastic optimization and real-time control of robots (Neubiberg/Munich, 1998).

[1072] Y. M. Ermoliev, T. Y. Ermolieva, G. J. MacDonald, and V. I. Norkin. Stochastic optimization ofinsurance portfolios for managing exposure to catastrophic risks. Ann. Oper Res., 99:207–225(2001), 2000. Applied mathematical programming and modeling, IV (Limassol, 1998).

[1073] Y.M. Ermoliev. Aspects of optimization and adaptation. In Stochastic phenomena and chaoticbehaviour in complex systems (Flattnitz, 1983), volume 21 of Springer Ser. Synergetics, pages13–16. Springer, Berlin, 1984.

[1074] Y.M. Ermoliev and G. Leonardi. Some proposals for stochastic facility location models. Math.Modelling, 3(5):407–420, 1982.

[1075] Y.M. Ermoliev, V.I. Norkin, and R.J-B. Wets. The minimization of semicontinuous functions:mollifier subgradients. SIAM Journal on Control and Optimization, 33(1):149–167, 1995.

[1076] Yu. Ermoliev. Random optimization and stochastic programming. In Colloq. Methods Optim.Novosibirsk USSR 1968, Lecture Notes Math. 112, 104-115, 1970.

[1077] Yu. Ermoliev. Stochastic quasigradient methods. In Numerical techniques for stochastic optimiza-tion, volume 10 of Springer Ser. Comput. Math., pages 141–185. Springer, Berlin, 1988.

[1078] Yu. Ermoliev, A. Gaivoronski, and C. Nedeva. Stochastic optimization problems with incompleteinformation on distribution functions. SIAM J. Control Optim., 23(5):697–716, 1985.

[1079] Yu. Ermoliev, S. Uryasev, and J. Wessels. On optimization of unreliable material flow systems.In Probabilistic constrained optimization, volume 49 of Nonconvex Optim. Appl., pages 45–66.Kluwer Acad. Publ., Dordrecht, 2000.

[1080] Yu. Ermoliev and R. Wets. Stochastic programming, an introduction. In Numerical techniques forstochastic optimization, volume 10 of Springer Ser. Comput. Math., pages 1–32. Springer, Berlin,1988.

[1081] Yu. Ermoliev and R.J-B. Wets. Numerical Techniques for Stochastic Optimization. Springer-Verlag,Berlin etc., 1988.

[1082] Yu. M. Ermoliev. Methods of nondifferentiable and stochastic optimization and their applications.In Progress in nondifferentiable optimization, volume 8 of IIASA Collaborative Proc. Ser. CP-82,pages 5–27, Laxenburg, 1982. Internat. Inst. Appl. Systems Anal.

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[1083] Yuri Ermoliev. Stochastic quasigradient methods and their application to system optimization.Stochastics, 9(1-2):1–36, 1983.

[1084] Yuri Ermoliev and Vladimir Norkin. On constrained discontinuous optimization. In Stochas-tic programming methods and technical applications (Neubiberg/Munich, 1996), pages 128–144.Springer, Berlin, 1998.

[1085] Yuri Ermoliev and Vladimir Norkin. Stochastic optimization of risk functions via parametricsmoothing. In Dynamic stochastic optimization (Laxenburg, 2002), volume 532 of Lecture Notesin Econom. and Math. Systems, pages 225–247. Springer, Berlin, 2004.

[1086] Yuri M. Ermoliev and Vladimir I. Norkin. Normalized convergence in stochastic optimization.Ann. Oper. Res., 30(1-4):187–198, 1991. Stochastic programming, Part I (Ann Arbor, MI, 1989).

[1087] Yury M. Ermoliev and Alexei A. Gaivoronski. Stochastic quasigradient methods for optimizationof discrete event systems. Ann. Oper. Res., 39(1-4):1–39 (1993), 1992.

[1088] Yu. M. Ermoljev and E.A. Nurminskiy. Stochastic quasigradient algorithms for minimax prob-lems in stochastic programming. In Stochastic programming (Proc. Internat. Conf., Univ. Oxford,Oxford, 1974), pages 275–285. Academic Press, London, 1980.

[1089] A.N. Ermolov. Revelation of preferences in a Bayesian game-theoretic model of social choice.Dokl. Akad. Nauk, 333(3):293–296, 1993.

[1090] G. Escher. Sequentielle Zuordnungsprobleme. In Sechste Oberwolfach-Tagung uber OperationsResearch (1973), Teil II, pages 1–13. Operations Research Verfahren, Band XIX, Hain, Miesen-heim am Glan, 1974.

[1091] L. F. Escudero, C. Garcia, J. L. de la Fuente, and F. J. Prieto. Hydropower generation managementunder uncertainty via scenario analysis and parallel computation. IEEE Transactions on PowerSystems, 11(2):683–689, 1996.

[1092] L. F. Escudero, A. Garin, M. Merino, and G. Perez. A two-stage stochastic integer programmingapproach as a mixture of branch-and-fix coordination and Benders decomposition schemes. Ann.Oper. Res., 152:395–420, 2007.

[1093] L. F. Escudero, I. Paradinas, and F. J. Prieto. Generation expansion planning under uncertainty indemand, economic environment, generation availability and book life. In Proceedings of the IEEEStockholm Power Tech, pages 226–233, Stockholm, Sweden, 1995.

[1094] L. F. Escudero, F. J. Quintana, and J. Salmeron. CORO, a modeling and an algorithmic frameworkfor oil supply, transformation and distribution optimization under uncertainty. European Journalof Operational Research, 114(3):638–656, 1999.

[1095] L. F. Escudero, J. Salmeron, I. Paradinas, and M. Sanchez. SEGEM: A simulation approach forelectric generation management. IEEE Transactions on Power Systems, 13(3):738–748, 1998.

[1096] Laureano F. Escudero, Araceli Garin, Maria Merino, and Gloria Perez. The value of the stochasticsolution in multistage problems. TOP, 15(1):48–64, 2007.

[1097] Laureano F. Escudero, Pasumarti V. Kamesam, Alan J. King, and Roger J.-B. Wets. Productionplanning via scenario modelling. Ann. Oper. Res., 43(1-4):311–335, 1993. Applied mathematicalprogramming and modelling (Uxbridge, 1991).

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[1099] Augustine O. Esogbue and Amar J. Singh. A stochastic model for an optimal priority bed distribu-tion problem in a hospital ward. Operations Res. 24, 884-898, 1976.

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[1100] Juan Estalrich and Nathan Buras. Alternative specifications of state variables in stochastic-dynamic-programming models of reservoir operation. Appl. Math. Comput., 44(2, part II):143–155, 1991.

[1101] Alexander Ettinger and Peter L. Hammer. Pseudo-Boolean programming with random coefficients.Cahiers Centre Etudes Recherche Oper., 14:67–82, 1972.

[1102] R. Everitt and W.T. Ziemba. Two-period stochastic programs with simple recourse. Oper. Res.,27(3):485–502, 1979.

[1103] A. Evgrafov and M. Patriksson. On the existence of solutions to stochastic mathematical programswith equilibrium constraints. J. Optim. Theory Appl., 121(1):65–76, 2004.

[1104] I. V. Evstigneev and M. I. Taksar. Convex stochastic optimization for random fields on graphs: amethod of constructing Lagrange multipliers. Math. Methods Oper. Res., 54(2):217–237, 2001.

[1105] Igor V. Evstigneev and Sjur D. Flam. Convex stochastic duality and the “biting lemma”. J. ConvexAnal., 9(1):237–244, 2002.

[1106] Igor V. Evstigneev and Priscilla E. Greenwood. Stochastic extrema, splitting random elements andmodels of crack formation. In System modelling and optimization (Compiegne, 1993), volume 197of Lecture Notes in Control and Inform. Sci., pages 315–319. Springer, London, 1994.

[1107] I.V. Evstigneev. Optimal stochastic programs and their stimulating prices. In Math. Models Econ.,Proc. Sympos. math. Meth. Econ. and Conf. von Neumann Models, Warszawa 1972, 219-252, 1974.

[1108] I.V. Evstigneev. Lagrange multipliers for the problems of stochastic programming. In Warsaw FallSemin. math. Econ. 1975, Lect. Notes Econ. math. Syst. 133, 34-48, 1976.

[1109] I.V. Evstigneev. Measurable selection and dynamic programming. Math. Oper. Res. 1, 267-272,1976.

[1110] I.V. Evstigneev. Turnpike theorems in stochastic models of economic dynamics. Mat. Zametki(Math. Notes) (translated into English), v.19, n.2, 279-290, 1976.

[1111] I.V. Evstigneev. Homogeneous convex models in the theory of controlled random processes. Dok-lady AN SSSR (Soviet Math. Dokl.) (translated into English), v.253, n.3, 524-527, 1980.

[1112] I.V. Evstigneev. Measurable selection theorems and stochastic control models in general topo-logical spaces. Mat. Sbornik (Math. USSR Sbornik) (translated into English), v.131, n.1, 27-39,1986.

[1113] I.V. Evstigneev. Controlled random fields on a directed graph. Teor. Ver. i Primen. (Theory ofProbab. and Appl.) (translated into English), v.33, n.3, 465-479, 1988.

[1114] I.V. Evstigneev. Stochastic extremal problems and the strong Markov property of random fields.Uspekhi Matem. Nauk (Russian Math. Surveys) (translated into English), vol. 43, nr. 2, 3-41, 1988.

[1115] I.V. Evstigneev. The shortest path around an island outside the shallows. Markov Processes andRelated Fields, v.1, 407-418, 1995.

[1116] I.V. Evstigneev and V.I. Arkin. Stochastic models of control and economic dynamics. AcademicPress, London, 1987.

[1117] I.V. Evstigneev and S.D. Flaam. The turnpike property and the central limit theorem in stochasticmodels of economic dynamics. In Yu.M. Kabanov, B.L. Rozovskii, and A.N. Shiryaev, editors,Statistics and Control of Stochastic Processes, pages 63–101. World Scientific, Singapore - NewJersey - London, 1997.

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[1118] I.V. Evstigneev and P.E. Greenwood. Markov fields over countable partially ordered sets: Extremaand splitting. Memoirs of Amer. Math. Soc., v. 112 (537), 1994.

[1119] I.V. Evstigneev and M.I. Taksar. Stochastic equilibria on graphs, I. Journal of Math. Economics, v.23, 401-433, 1994.

[1120] I.V. Evstigneev and M.I. Taksar. Stochastic equilibria on graphs, II. Journal of Math. Economics,v. 24, 383-406, 1995.

[1121] James B. Ewbank, Bob L. Foote, and Hillel J. Kumin. A method for the solution of the distributionproblem of stochastic linear programming. SIAM J. Appl. Math., 26:225–238, 1974.

[1122] Eweda Eweda and Odile Macchi. Convergence of an adaptive linear estimation algorithm. IEEETrans. Autom. Control AC-29, 119-127, 1984.

[1123] I. I. Ezov and Hoang Sum. Maximization processes with discrete time. Teor. Verojatnost. i Mat.Statist., 9:82–89, 175, 1973.

[1124] B. A. Faber and J. R. Stedinger. Reservoir optimization using sampling sdp with ensemble stream-flow prediction (esp) forecasts. Journal of Hydrology, 249(1–4):113–133, 2001.

[1125] Malte Michael Faber. Stochastisches Programmieren. Wuerzburg-Wien: Physica-Verlag., 1970.

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[1127] Csaba I. Fabian. Adapting an approximate level method to the two-stage stochastic programmingproblem. Stochastic Programming E-Print Series, http://www.speps.org, 2001.

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[1129] Csaba I. Fabian, Richard Nemedi, and Zoltan Szoke. A stochastic programming model for opticalfiber manufacturing. CEJOR Cent. Eur. J. Oper. Res., 9(4):343–359, 2001.

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[1134] Ulrich Faigle and Alexander Schoenhuth. Note on Negative Probabilities and Observable Pro-cesses. In S. Albers, R.H. Mohring, G.Ch. Pflug, and R. Schultz, editors, Dagstuhl Seminar05031: Algorithms for Optimization with Incomplete Information, http://www.dagstuhl.de/05031, 2005.

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[1866] Ju. M. Kaniovskii, P.S. Knopov, and Z.V. Nekrylova. The stochastic programming method inHilbert space. Kibernetika (Kiev), 6:71–79, 1978.

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[1868] Yu. M. Kaniovskii. Estimating the error in direct methods of stochastic programming. Cybernetics,16(5):768–775 (1981), 1980.

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[1872] Yu. M. Kaniovskii. Comparison of the rates of convergence of two-step and one-step methods ofstochastic programming. Dokl. Akad. Nauk Ukrain. SSR Ser. A, 7:70–73, 1982.

[1873] Yu. M. Kaniovskii. A stochastic analogue of the conjugate gradient method with a fixed step.Issled. Operatsii i ASU, 21:3–8, 1983.

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[1888] Vlasta Kankova. An approximative solution of a stochastic optimization problem. In Transactionsof the Eighth Prague Conference on Information Theory, Statistical Decision Functions, RandomProcesses (Prague, 1978), Vol. A, pages 349–353. Reidel, Dordrecht, 1978.

[1889] Vlasta Kankova. Differentiability of the optimal function in a two-stage stochastic nonlinear pro-gramming problem. Ekonom.-Mat. Obzor, 14(3):322–330, 1978.

[1890] Vlasta Kankova. Optimum solution of a stochastic optimization problem with unknown parame-ters. In Transactions of the Seventh Prague Conference on Information Theory, Statistical DecisionFunctions and the Eighth European Meeting of Statisticians (Tech. Univ. Prague, Prague, 1974),Vol. B, pages 239–244, Prague, 1978. Academia.

[1891] Vlasta Kankova. Stability in the stochastic programming. Kybernetika (Prague), 14(5):339–349,1978.

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[1893] Vlasta Kankova. Optimization problem with parameter and its application to the problems of two-stage stochastic nonlinear programming. Kybernetika (Prague), 16(5):411–425, 1980.

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[1897] Vlasta Kankova. A note on the differentiability in two-stage stochastic nonlinear programmingproblems. Kybernetika (Prague), 24(3):207–215, 1988.

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[1904] Vlasta Kankova. A note on the relationship betweeen distribution function estimation and esti-mations in stochastic programming. In Trans. of the Twelfth Prague Conference, pages 122–125,1994.

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[1909] Vlasta Kankova. A note on objective functions in multistage stochastic nonlinear programmingproblems. In System modelling and optimization (Prague, 1995), pages 582–589. Chapman &Hall, London, 1996.

[1910] Vlasta Kankova. Convexity, Lipschitz property and differentiability in two-stage stochastic nonlin-ear programming problems. In Proceedings of the 3rd International Conference on Approximationand Optimization in the Caribbean (Puebla, 1995), page 17 pp. (electronic). Benemerita Univ.Auton. Puebla, Puebla, 1997.

[1911] Vlasta Kankova. On an "-solution of minimax problem in stochastic programming. In J. StepanV. Benes, editor, Proceedings of the 3rd International Conference on Distributions with GivenMarginals and Moment Problems, pages 211–216, Dordrecht-Boston-London, 1997. Kluwer Aca-demic. Publisher.

[1912] Vlasta Kankova. On estimates in time dependent stochastic optimization. Zeitschrift fur Ange-wandte Mathematik und Mechanik, 77:587–588, 1997.

[1913] Vlasta Kankova. On the stability in stochastic programming: the case of individual probabilityconstraints. Kybernetika (Prague), 33(5):525–546, 1997.

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[2429] K. Marti. Entscheidungsprobleme mit linearem Aktionen- und Ergebnisraum. Z. Angew. Math.Mech., 53:T226–T228, 1973. Vortrage der Wissenschaftlichen Jahrestagung der Gesellschaft furAngewandte Mathematik und Mechanik (Ljubljana, 1972).

[2430] K. Marti. Ueber ein Verfahren zur Loesung einer Klasse linearer Entscheidungsprobleme. Z.angew. Math. Mech. 54, Sonderheft, T 247 - T 248, 1974.

[2431] K. Marti. Losung stochastischer linearer Programme mit “complete recourse” mittels stochastis-cher Penalty-Methoden. Z. Angew. Math. Mech., 58(7):T491–T494, 1978.

[2432] K. Marti. Diskretisierung stochastischer Programme unter Berucksichtigung der Problemstruktur.Z. Angew. Math. Mech., 59(3):T105–T108, 1979. Vortrage der Wissenschaftlichen Jahrestagungder Gesellschaft fur Angewandte Mathematik und Mechanik, Teil I (Brussels, 1978).

[2433] K. Marti. On approximative solutions of stochastic programming problems by means of stochasticdominance and stochastic penalty methods. In Survey of mathematical programming (Proc. NinthInternat. Math. Programming Sympos., Budapest, 1976), Vol. 2, pages 117–127, Amsterdam, 1979.North-Holland.

[2434] K. Marti. On accelerations of the convergence in random search methods. Methods Oper. Res. 37,391-406, 1980.

[2435] K. Marti. On controlled random search procedures. In Control applications of nonlinear program-ming and optimization, Coll. Pap., 2nd IFAC Workshop, Oberpfaffenhofen/Ger. 1980, 214-223,1980.

[2436] K. Marti. Random search in optimization problems as a stochastic decision process (adaptiverandom search). Methods Oper. Res. 36, 223-234, 1980.

[2437] K. Marti. Stochastic dominance and the construction of descent directions in stochastic programshaving a discrete distribution., 1980.

[2438] K. Marti. Stochastische Dominanz und Konstruktion von Abstiegsrichtungen in stochastischenProgrammen bei Verteilungs-Symmetrien., 1980.

[2439] K. Marti. On stochastic dominance and the construction of directions of decrease in stochasticprograms having a discrete distribution. Methods Oper. Res. 41, 175-178, 1981.

[2440] K. Marti. Ueber die Berechnung von Abstiegsrichtungen in Stochastischen Linearen Programmenbei Verteilungsinvarianz. Z. Angew. Math. Mech. 61, T341 - T343, 1981.

[2441] K. Marti. Minimizing noisy objective functions by random search methods. Z. Angew. Math. Mech.62, T377 - T380, 1982.

[2442] K. Marti. On the construction of descent directions in stochastic programs having a discrete distri-bution. Z. Angew. Math. Mech., 64(5):336–338, 1984.

[2443] K. Marti. Computation of descent directions in stochastic optimization problems with invariantdistributions. Z. Angew. Math. Mech., 65(8):355–378, 1985.

[2444] K. Marti. Construction of descent directions in stochastic programs having a discrete distribution.II. Z. Angew. Math. Mech., 67(5):T408–T410, 1987.

[2445] K. Marti. Descent stochastic quasigradient methods. In Numerical techniques for stochastic opti-mization, volume 10 of Springer Ser. Comput. Math., pages 393–401. Springer, Berlin, 1988.

[2446] K. Marti. Optimal semi-stochastic approximation procedures. II. Z. Angew. Math. Mech.,69(4):T67–T69, 1989.

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[2447] K. Marti. Optimal semistochastic approximation. In Computing and computers for control systems(Paris, 1988), volume 4 of IMACS Ann. Comput. Appl. Math., pages 409–415, Basel, 1989. Baltzer.

[2448] K. Marti. Computation of efficient solutions of stochastic optimization problems with applicationsto regression and scenario analysis. In Stochastic versus fuzzy approaches to multiobjective math-ematical programming under uncertainty, volume 6 of Theory Decis. Lib. Ser. D System TheoryKnowledge Engrg. Probl. Solving, pages 163–188. Kluwer Acad. Publ., Dordrecht, 1990.

[2449] K. Marti. Stochastic optimization methods in structural mechanics. Z. Angew. Math. Mech.,70(6):T742–T745, 1990. Bericht uber die Wissenschaftliche Jahrestagung der GAMM (Karlsruhe,1989).

[2450] K. Marti. Stochastic programming: numerical solution techniques by semi-stochastic approxima-tion methods. In Stochastic versus fuzzy approaches to multiobjective mathematical programmingunder uncertainty, volume 6 of Theory Decis. Lib. Ser. D System Theory Knowledge Engrg. Probl.Solving, pages 23–43. Kluwer Acad. Publ., Dordrecht, 1990.

[2451] K. Marti. Computation of efficient solutions of discretely distributed stochastic optimization prob-lems. Z. Oper. Res., 36(3):259–294, 1992.

[2452] K. Marti. Semi-stochastic approximation by the response surface methodology (RSM). Optimiza-tion, 25(2-3):209–230, 1992.

[2453] K. Marti. Stochastic optimization in structural design. Z. Angew. Math. Mech., 72(6):T452–T464,1992. Bericht uber die Wissenschaftliche Jahrestagung der GAMM (Krakow, 1991).

[2454] K. Marti, editor. Stochastic Optimization. Numerical Methods and Technical Applications.Springer, Berlin, 1992. LN in Economics and Math. Systems 379.

[2455] K. Marti. Satisficing techniques in stochastic linear programming. Optimization, 31(4):359–384,1994.

[2456] K. Marti. Differentiation formulas for probability functions: the transformation method. Math.Programming, 75(2, Ser. B):201–220, 1996. Approximation and computation in stochastic pro-gramming.

[2457] K. Marti. Path planning for robots under stochastic uncertainty. Optimization, 45(1-4):163–195,1999. Dedicated to the memory of Professor Karl-Heinz Elster.

[2458] K. Marti. Stochastic programming methods in adaptive optimal trajectory planning for robots.ZAMM Z. Angew. Math. Mech., 82(11-12):795–809, 2002. 4th GAMM-Workshop “StochasticModels and Control Theory” (Lutherstadt Wittenberg, 2001).

[2459] K. Marti and E. Fuchs. On the convergence rate of semistochastic approximation procedures. Z.Angew. Math. Mech., 65(5):315–317, 1985.

[2460] K. Marti and E. Fuchs. Computation of descent directions and efficient points in stochastic op-timization problems without using derivatives. Math. Programming Stud., 28:132–156, 1986.Stochastic programming 84. II.

[2461] K. Marti and E. Fuchs. Rates of convergence of semistochastic approximation procedures forsolving stochastic optimization problems. Optimization, 17(2):243–265, 1986.

[2462] K. Marti and E. Plochinger. Optimal semi-stochastic approximation procedures. Z. Angew. Math.Mech., 68(5):T441–T443, 1988.

[2463] K. Marti and E. Plochinger. Optimal step sizes in semi-stochastic approximation procedures. I.Optimization, 21(1):123–153, 1990.

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[2464] K. Marti and E. Plochinger. Optimal step sizes in semistochastic approximation procedures. II.Optimization, 21(2):281–312, 1990.

[2465] K. Marti and R.-J. Riepl. Optimale Portefeuilles mit stabil verteilten Renditen. Z. Angew. Math.Mech., 57(5):T337–T339, 1977.

[2466] K. Marti and G. L. Tret′yakov. An algorithm for the approximate solution of the maximizationproblem for a probability function on the basis of a star-shaped approximation.

[2467] Kurt Marti. Konvexitatsaussagen zum linearen stochastischen Optimierungsproblem. Z.Wahrscheinlichkeitstheorie und Verw. Gebiete, 18:159–166, 1971.

[2468] Kurt Marti. Entscheidungsprobleme mit linearem Aktionen- und Ergebnisraum. Z. Wahrschein-lichkeitstheorie und Verw. Gebiete, 23:133–147, 1972.

[2469] Kurt Marti. Approximationen der Entscheidungsprobleme mit linearer Ergebnisfunktion und pos-itiv homogener, subadditiver Verlustfunktion. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,31:203–233, 1974/75.

[2470] Kurt Marti. Approximations to gradients in stochastic programming. Bull. Inst. Internat. Statist.,46(4):137–140 (1976), 1975.

[2471] Kurt Marti. Convex approximation of stochastic optimization problems. In Operations ResearchVerfahren, Band XX, pages 66–76, Meisenheim am Glan, 1975. Hain.

[2472] Kurt Marti. Approximations to stochastic optimization problems. In Optimization and opera-tions research (Proc. Conf., Oberwolfach, 1975), pages 201–213. Lecture Notes in Econom. Math.Systems, Vol. 117, Berlin, 1976. Springer.

[2473] Kurt Marti. Stochastische Dominanz und stochastische lineare Programme. In VIII. Oberwolfach-Tagung uber Operations Research (1976), Operations Res. Verfahren, XXIII, pages 141–160. Hain,Konigstein/Ts., 1977.

[2474] Kurt Marti. On stochastic dominance relations in stochastic programming. In Transactions ofthe Eighth Prague Conference on Information Theory, Statistical Decision Functions, RandomProcesses (Prague, 1978), Vol. B, pages 35–44. Reidel, Dordrecht, 1978.

[2475] Kurt Marti. Stabilitaet approximativer Loesungen stochastischer Programme bei Variationen derParameterverteilung P. In Oper. Res. Verf. 29, 2nd Symp. Oper. Res., Teil 2, Aachen 1977, 657-671, 1978.

[2476] Kurt Marti. Stochastic linear programs with random data having stable distributions. In Optimiza-tion techniques (Proc. 8th IFIP Conf., Wurzburg, 1977), Part 2, pages 76–86. Lecture Notes inControl and Information Sci., Vol. 7, Berlin, 1978. Springer.

[2477] Kurt Marti. Approximationen stochastischer Optimierungsprobleme, volume 43 of MathematicalSystems in Economics. Verlag Anton Hain, Konigstein/Ts., 1979.

[2478] Kurt Marti. On solutions of stochastic programming problems by descent procedures with stochas-tic and deterministic directions. In Third Symposium on Operations Research (Univ. Mannheim,Mannheim, 1978), Section 3, volume 33 of Operations Res. Verfahren, pages 281–293. Hain,Konigstein/Ts., 1979.

[2479] Kurt Marti. Approximations to stochastic optimization problems. In Stochastic programming(Proc. Internat. Conf., Univ. Oxford, Oxford, 1974), pages 159–166, London, 1980. AcademicPress.

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[2481] Kurt Marti. Solving stochastic linear programs by semistochastic approximation algorithms. InRecent results in stochastic programming (Proc. Meeting, Oberwolfach, 1979), volume 179 ofLecture Notes in Econom. and Math. Systems, pages 191–213. Springer, Berlin, 1980.

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[2483] Kurt Marti. Optimally controlled semi-stochastic approximation procedures. In Okonomie undMathematik, pages 216–230, Berlin, 1987. Springer.

[2484] Kurt Marti. Descent directions and efficient solutions in discretely distributed stochastic programs,volume 299 of Lecture Notes in Economics and Mathematical Systems. Springer-Verlag, Berlin,1988.

[2485] Kurt Marti. Stochastic optimization methods in engineering. In System modelling and optimization(Prague, 1995), pages 75–87. Chapman & Hall, London, 1996.

[2486] Kurt Marti, editor. Structural reliability and stochastic structural optimization. Physica-Verlag,Heidelberg, 1997. Math. Methods Oper. Res. 46 (1997), no. 3.

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[2489] Kurt Marti. Stochastic optimization methods in robust adaptive control of robots. In Online opti-mization of large scale systems, pages 545–577. Springer, Berlin, 2001.

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[2492] Kurt Marti. Stochastic Optimization Methods. Springer, 2005.

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