Selected Monographs, Proceedings Volumes and Textbooks

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Stochastic Optimization Methods: Applications in Engineering and Operations

Marti, Kurt
Springer-Verlag, ISBN: 978-3-662-46213-3,
2015, XIII, 365p., Hardcover,
doi: 10.1007/978-3-662-46214-0
Weitere Informationen über dieses Buch
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Übungsbuch zum Grundkurs Mathematik für Ingenieure, Natur- und Wirtschaftswissenschaftler

Marti,  Kurt
Springer-Verlag, ISBN:978-3-7908-2609-8 ,
2010, 314p., Softcover,
doi: 10.1007/978-3-662-7908-2610-4
Weitere Informationen über dieses Buch
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Stochastic Optimization Methods, 2nd Ed.

Marti, Kurt
Springer-Verlag, ISBN: 978-3-540-79457-8
2008, 340p., Hardcover,
Weitere Informationen über dieses Buch
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Stochastic Optimization Methods

Marti, Kurt
Springer-Verlag, ISBN: 3-540-22272-3
2005, XIII, 314 S., 14 S. illus., Hardcover,
Weitere Informationen über dieses Buch
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Grundkurs Mathematik für Ingenieure, Natur- und Wirtschaftswissenschaftler

Marti, Kurt, Gröger,  Detlef
Reihe: Physica-Lehrbücher,
Springer-Verlag, ISBN: 3-7908-0100-3
2. Aufl. 2004, X, 267 S., Softcover,
Weitere Informationen über dieses Buch
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Dynamic Stochastic Optimization

Marti, Kurt; Ermoliev, Yuri; Pflug, Georg (Hrsg.)
Reihe: Lecture Notes in Economics and Mathematical Systems, Band 532
Springer-Verlag, ISBN: 3-540-40506-2
2003, VIII, 336 S., 29 S. illus., Softcover,
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Einführung in die lineare und nichtlineare Optimierung

Marti,  Kurt, Gröger,  Detlef
Reihe: Physica-Lehrbücher,
Springer-Verlag, ISBN: 3-7908-1297-8
2000, VIII, 206 S., Softcover,
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Publications of the author and his collaborators

  1. Monographs and Proceedings Volumes

    • 2012
      • Ermoliev, Y., Makowski, M., Marti,K. (eds.): Managing Safety of Heterogeneous Systems: Decisions under Uncertainties and Risks. Lecture Notes in Economics and Mathematical Systems (LNEMS), Vol. 658. Berlin-Heidelberg-New York: Springer-Verlag, 2012, 290p.. ISBN: 978-3-642-22883-4; doi: 10.1007/978-3-642-22884-1
    • 2011
      • Arruda, J.R., Marti, K., Mota Soares, C.M., Mistakidis, E.S., Schueller, G.I., Papadrakakis, M., Toppol.heading > liing, B.H.V. (eds.): Special Issue of Computers & Structures, Vol. 89, Issues 19-20, 1727-1840,2011
      • Schacher, M.: Stochastisch optimale Regelung von Robotern. Fortschrittberichte VDI, Reihe 8, Mess-, Steuerungs- und Regelungstechnik, Nr. 1200, Düsseldorf: VDI-Verlag GmbH, 2011
      • Zier, S.: Auslegung von Stab- und Balkentragwerken aus ideal elastisch-plastischem Material unter stochastisch variabler Lasteinwirkung. Fortschrittberichte VDI, Reihe 18, Mechanik/Bruchmechanik, Nr. 331, Düsseldorf: VDI-Verlag GmbH, 2011
    • 2010
      • Marti, K.,Ermoliev, Y., Makowski, M. (eds.): Coping with Uncertaintiers: Robust Solutions. Lecture Notes in Economics and Mathematical Systems (LNEMS), Vol. 633. Berlin-Heidelberg-New York: Springer-Verlag, 2010, 290p.. ISBN: 978-3-642-03734-4
      • Marti, K. unter Mitwirkung von O. Solodovchenko, S. Zier und M. Schacher: Übungsbuch zum Grundkurs Mathematik für Ingenieure, Natur- und Wirtschaftswissenschaftler. Heidelberg: Springer(Physica)-Verlag, 2010, ISBN: 978-3-7908-2609-8
    • 2008
      • Marti, K.: Stochastic Optimization Methods, 2nd edition. Berlin-Heidelberg: Springer-Verlag, 2008, ISBN 978-3-540-79457-8
    • 2007
      • Eschenauer, H.A., Marti, K.: GAMM-Themenheft "Reliability-Based Optimization: Fundamentals and Applications". GAMM-Mitteilungen, Vol. 30, No. 2, 2007, 210-349
      • Marti, K., Mota Soares, C.A., Schueller, G.I. et al.: Stochastic Structural Analysis, Optimization and Re-analysis. Special Issue Computers & Structures (CAS), Vol. 85, Issue 10, 2007; doi: 10.1016/j.compstruc.2006.10.002
    • 2006
      • Ceragioli, F., Dontchev, A., Furuta, H., Marti, K., Pandolfi, L.: System Modeling and Optimization. New York: Springer-Verlag, 2006 (Proceedings 22nd IFIP TC7 Conference, Turin, 18-22 July, 2006)
      • Marti, K., Gröger, D.: Stochastische Strukturoptimierung von Stab- und Balkentragwerken. Heidelberg: Springer-Verlag, 2006, ISBN 3-540-26038-2
      • Marti, K. et al.: Coping with Uncertainty - Modeling and Policy Issues. Lecture Notes in Economics and Mathematical Systems (LNEMS), Vol. 581. Berlin-Heidelberg-New York: Springer-Verlag, 2006
      • Zantz, T.: Einstufige approximative optimale stochastische Planung neuer Robotertrajektorien in Echtzeit. Dissertation, Fak. LRT, UniBw München, 2006. Published later as follows: Saarbrücken: VDM Verlag, 2008, ISBN 978-3-639-01586-7
    • 2005
      • Marti, K,: Stochastic Optimization Methods. Berlin-Heidelberg: Springer-Verlag, 2005, ISBN 3-540-22272-3
    • 2004
      • Marti, K., Gröger, D.: Grundkurs Mathematik für Ingenieure, Natur- und Wirtschaftswissenschaftler. Reihe: Physica-Lehrbücher, Springer-Verlag, ISBN: 3-7908-0100-3, 2. Aufl. 2004, X, 267 S.
      • Oberguggenberger, M., Schueller, G.I., Marti, K.: Fuzzy sets, imprecise probability and stochastics in engineering. ZAMM 84, No. 10-11, 2004, 659-771
    • 2003
      • Marti, K., Ermoliev, Y. Pflug, G. (Hrsg.): Dynamic Stochastic Optimization, Reihe: Lecture Notes in Economics and Mathematical Systems, Band 532, Springer-Verlag, ISBN: 3-540-40506-2, 2003, VIII, 336 S.
      • Stöckl, G.: Optimaler Entwurf elastoplastischer mechanischer Strukturen unter stochastischer Unsicherheit. Fortschritt-Berichte VDI, Reihe 18, Nr. 278. Düsseldorf: VDI-Verlag GmbH, 2003
    • 2002
      • Marti, K. (ed.): Stochastic Optimization Techniques: Numerical Methods and Technical Applications. LNEMS, Vol. 513, Berlin [etc.]: Springer-Verlag, 2002
    • 2000
      • Marti, K. (Ed.): Numerical Methods for Stochastic Optimization and Real-Time Control of Robots. Special Issue of Optimization. Optimization 47, No. 3-4, 2000, 251-420
      • Marti, K., Gröger, D.: Einführung in die lineare und nichtlineare Optimierung. Heidelberg- New York: Physica/Springer-Verlag 2000, VIII, ISBN: 3-7908-1297-8, 206 S.
    • 1999
      • Marti, K., Gröger, D.: Brückenkurs Mathematik. Lutherstadt Wittenberg: Roesemarie Peikert Verlag und Versandbuchhandlung 1999
    • 1998
      • Haubach-Lippmann, C.: Stochastische Strukturoptimierung flexibler Roboter. Fortschrittberichte VDI, Reihe 8: Mess-, Steuerungs- und Regelungstechnik, Nr. 706. Duesseldorf: VDI-Verlag 1998
      • Reinhart, J.: Stochastische Optimierung von Faserkunststoffverbundplatten. Adaptive stochastische Approximationsverfahren auf der Basis der Response-Surface-Methode. Fortschrittberichte VDI, Reihe 5: Grund- und Werkstoffe, Nr. 463. Düsseldorf: VDI-Verlag 1997. Düsseldorf: VDI-Verlag 1998
      • Marti, K., Kall, P. (Eds.): Stochastic Programming Methods and Technical Applications. LNEMS, Vol. 458. Berlin-Heidelberg: Springer-Verlag 1998
    • 1997
      • Marti, K. (ed.): Structural Reliability and Stochastic Structural Optimization; Special Issue. Math. Methods of OR 46, No. 3 (1997), 285-434
    • 1996
      • Marti, K., Mahrenholtz, O., Mennicken, R. (eds.): Applied Stochastics and Optimization. Special Issue ICIAM/GAMM 1995. ZAMM 76 (1996), Supplement 3
    • 1995
      • Marti, K., Kall, P. (Eds.): Stochastic Programming: Numerical Techniques and Engineering Applications. LNEMS, Vol. 423. Berlin-Heidelberg-New York: Springer-Verlag 1995
      • Qu, S.: Optimale Bahnplanung für Roboter unter Berücksichtigung stochastischer Parameterschwankungen. Fortschrittberichte VDI, Reihe 8: Mess-, Steuerungs- und Regelungstechnik, Nr. 472. Düsseldorf: VDI-Verlag 1995
    • 1992
      • Marti, K. (ed.): Stochastic Optimization: Numerical Methods and Technical Applications (Proceedings of the GAMM/IFIP Workshop, UniBw München, 29.-31.05.1990). Lecture Notes in Economics and Mathematical Systems, Vol. 379, Springer-Verlag, Berlin-Heidelberg-New York, 1992, 182 Seiten
    • 1988
      • Marti, K.: Descent Directions and Efficient Solutions in Discretely Distributed Stochastic Programs. Lecture Notes in Economics and Mathematical Systems Vol. 299, Springer Verlag, Berlin-Heidelberg-New York, 1988, 178 Seiten
    • 1984
      • Rappl, G.: Konvergenzraten von Random-Search-Verfahren zur Globalen Optimierung. Dissertation Universität der Bundeswehr München, Fakultät für Informatik, 1984
    • 1979
      • Marti, K.: Approximationen stochastischer Optimierungsprobleme. Athenäum, Königstein/Ts., 1979 (Math. Syst. In Economics, Bd. 43, 212 S.)
    • 1971
      • Marti, K.: Entscheidungstheoretische Grundlagen der Stochastischen Optimierung. Dissertation Universität Mannheim, Fakultät für Mathematik u. Informatik, 1971
  2. Mathematical Foundations

    • 2001
      • Marti, K.: Discretely Distributed Stochastic Programs: Descent Directions and Efficient Points. In: Encyclopedia of Optimization, Vol. 1 (eds. Floudas, Ch.A., Pardalos, P.M.), Norwell, MA: Kluwer Acad. Publ. 2001, 460-466
    • 1998
      • Tretiakov, G., Marti, K.: The Algorithm for Solving the Probability Function Maximization Problem on the Base of Star-Shaped Approximation. Automation and Remote Control Nr. 11 (1998), 117-128
    • 1997
      • Marti, K.: Approximation and derivatives of probabilities of survival in structural analysis and design. Structural Optimization 13 (1997), 230-243
    • 1996
      • Marti, K.: Differentiation Formulas for Probability Functions: The Transformation Method. Mathematical Programming, Series B 75, No.2 (1996), 201-220
      • Marti, K.: Differentiation of Reliability Functions. In: Optimization of Mechanical Systems (eds. Bestle, D., Schiehlen, W.), Dordrecht-Boston-London: Kluwer Acad. Publ. 1996, 197-204
      • Marti, K.: Stochastic Optimization Methods in Engineering. In: System Modelling and Optimization (eds. Dolezal, J., Fidler, J.), London etc.: Chapman and Hall 1996, 75-85
    • 1995
      • Marti, K.: Operations Research Methods for Coping with Uncertainty in Decision Making Problems. In: Proc. NATO-Symp. on "Coping with Uncertainty in Defence Decision Making" (eds. Faddy, D.J., van de Scheur, M.J., Wijnmalen, D.J.D.), Brussels: NATO Defence Research Section AC/243 (Panel 7TP/9, Vol.2, 1995, 7.1-7.14)
      • Marti, K.: Computation of Probability Functions and its Derivatives by means of Orthogonal Function Series Expansion. In: Stochastic Programming: Numerical Techniques and Engineering Applications. LNEMS, Vol. 423 (eds. Marti, K., Kall, P.), Berlin-Heidelberg-New York: Springer-Verlag 1995, 22-53
      • Marti, K.: Derivatives of Probability Functions Arising in Probabilistic Analysis and Design. In: WCSMO-1, First World Congress of Structural and Multidisciplinary Optimization (eds. Olhoff, N., Rozvany, G.I.N.), Oxford-New York-Tokyo: Elsevier Science Ltd. 1995, 877-882
      • Marti, K.: Differentiation of Probability Functions: The Transformation Method. Computers Math. Appl. 30, No. 3-6 (1995), 361-382
      • Marti, K.: Differentiation of Probability Functions Arising in Structural Reliability. In: Reliability and Optimization of Structural Systems (eds. Rackwitz, R., Augusti, G., Borri, A.), London: Chapman and Hall 1995, 201-208
      • Marti, K.: Derivatives of Probability Functions Arising in Probabilistic Analysis and Design. In: WCSMO-1, First World Congress of Structural and Multidisciplinary Optimization (eds. Olhoff, N., Rozvany, G.I.N.), Oxford-New York-Tokyo: Elsevier Science Ltd. 1995, 877-882
      • Marti, K.: Approximation and Derivatives of Probability Functions in Probabilistic Structural Analysis and Design. In: Advances in Design Automation - 1995, Vol. 1 (eds. Azarm, S., et al.), New York: ASME 1995, 361-368
      • Marti, K.: Computation of derivatives of structural reliabilities using transformation methods. ZAMM 75 (1995), SII, 565-566
    • 1994
      • Marti, K.: Stochastic Linear Programming: Descent Directions - Efficient Solutions - Satisficing Methods. In: Statistical Methods for Decision Processes (eds. Hellwig, G., Kall, P., Abel, P.), Stuttgart-Möhringen: Daimler-Benz 1994, 147-175
      • Marti, K.: Satisficing Techniques in Stochastic Linear Programming. OPTIMIZATION 31, No. 4 (1994), 359-384
      • Marti, K.: Approximation and Derivatives of Probability Functions. In: Approximation, Probability, and Related Fields (eds. Anastassiou G., Rachev, S.), New York: Plenum Publ. Corp. 1994, 367-377
      • Marti, K.: Approximations and Derivatives of Probabilities in Structural Reliability and Design. In: Structural Safety and Reliability (eds. Schueller G.I., Shinozuka, M., Yao, J.T.P.), Rotterdam-Brookfield: A.A. Balkema 1994, 1295-1299
  3. Stochastic Optimization Methods

    • 2002
      • Marti, K.: On Solutions of Stochastic Linear Programs by Discretization Methods. In: Stochastics and Global Optimization (eds. Dezemyda, G., Saltenis, V., Zilinskas, A.), Dordrecht: Kluwer Academic Publishers, 2002, 189-207
    • 2001
      • Marti, K.: Discretely Distributed Stochastic Programs: Descent Directions and Efficient Points. In: Encyclopedia of Optimization, Vol. 1 (eds. Floudas, Ch.A., Pardalos, P.M.), Norwell, MA, USA : Kluwer Academic Publ. 2001, 460-466
    • 1998
      • Marti, K., Stöckl, G.: Numerische Untersuchung inexakter stochastischer Gradientenverfahren. In: OR Proceedings 1997 (eds. Kischka, P. et al.), Berlin etc.: Springer-Verlag, 1998, 150-156
      • Marti, K., Stöckl, G.: Inexakte Stochastische Gradientenverfahren. ZAMM 78, Suppl. 3, 1005-1006 (1998)
      • Reinhart, J.: Implementation of the Response Surface Method for Stochastic Structural Optimization Problems. In: Stochastic Programming Methods and Technical Applications. LNEMS, Vol. 458 (eds. Marti, K., Kall, P.), Berlin-Heidelberg: Springer-Verlag, 1998, 394-409
    • 1995
      • Marti, K.: Computation of derivatives of structural reliabilities using transformation methods. ZAMM 75, SII, S565-S566 (1995)
      • Marti, K., Qu, S.: Berechnung von Vorsteuerungen für Roboter mittels Stochastischer Optimierung und Untersuchung ihres Einflusses auf die online-Regelung. ZAMM 75, SII, S567-S568 (1995)
      • Marti, K.: Differentiation of Probability Functions: The Transformation Method. Computers Math. Appl. 30 (No. 3-6) 361-382 (1995)
      • Marti, K.:Differentiation Formulas for Probability Functions: The Transformation Method Mathematical Programming, Series B 75, No. 2, 201-220 (1996)
      • Marti, K.: Differentiation of Probability Functions Arising in Structural Reliability. In: Reliability and Optimization of Structural Systems, R. Rackwitz et al. (eds.), Chapman and Hall, London, 1995, pp. 201-208
      • Marti, K., Kall, P.: Stochastic Programming: Numerical Techniques and Engineering Applications. Proceedings 2nd GAMM/IFIP Workshop on Stochastic Optimization: Numerical Methods and Technical Applications, UniBw München, 15.-17.06.1993 (mit P. Kall, eds.). Lecture Notes in Economics and Mathematical Systems, Vol. 423, Springer-Verlag, Berlin-Heidelberg-New York, 1995
      • Marti, K., Qu, S.: Optimal Trajectory Planning for Robots under the Consideration of Stochastic Parameters and Disturbances. In: LNEMS, Vol. 423, K. Marti, P. Kall (eds.), Springer-Verlag, Berlin-Heidelberg-New York, 1995, pp. 268-288
      • Marti, K.: Computation of Probability Functions and its Derivatives by means of Orthogonal Function Series Expansion. In: LNMES, Vol. 423, K. Marti, P. Kall (eds.), Springer-Verlag, Berlin-Heidelberg-New York, 1995, pp. 22-53
      • Marti, K., Qu, S.: Optimal Trajectory Planning for Robots under the Considerations of Stochastic Parameters and Disturbances - Computation of an Efficient Open-loop Strategy. Journal of Intelligent and Robotic Systems 13, 1-5 (1995)
    • 1994
      • Marti, K.: Satisficing Techniques in Stochastic Linear Programming. OPTIMIZATION 31, 359-384 (1994)
      • Marti, K., Qu, S.: Computation of an Efficient Open-Loop Strategy and its Influence on Feedback Control. In: Intelligent Robots and Systems, Vol. 1, V. Graefe (ed.), IEEE Service Center, Piscataway, NJ, USA, 1994, pp. 322-328
      • Marti, K.: Stochastic Linear Programming: Descent Directions - Efficient Solutions - Satisficing Methods. In: Statistical Methods for Decision Processes, G. Hellwig, P. Kall, P. Abel (eds.), Daimler-Benz, Stuttgart-Möhringen, 1994
      • Marti, K.: Approximation and Derivatives of Probability Functions. In: Approximation, Probability, and Related Fields, G. Anastassiou, S. Rachev (eds.), Plenum Publ. Corp., New York, 1994, pp. 367-377
      • Marti, K.: Approximations and Derivatives of Probabilities in Structural Reliabilities and Design. In: Structural Safety and Reliability, G.I. Schuëller, M. Shinozuka, J.T.P. Yao (eds.), A.A. Balkema, Rotterdam-Brookfiled, 1994, pp. 1295-1299
    • 1993
      • Marti, K., Qu, S.: Optimale Bahnplanung für Roboter unter Berücksichtigung stochastischer Parameterschwankungen und stochastischer Störgrössen - Berechnung einer efficienten Vorsteuerung. In: VDI-Bericht Nr. 1094, VDI-Verlag, Düsseldorf 1993, pp. 525-534
    • 1992
      • Marti, K. (ed.): Stochastic Optimization: Numerical Methods and Technical Applications (Proceedings of the GAMM/IFIP Workshop, UniBw München, 29.-31.05.1990). Lecture Notes in Economics and Mathematical Systems, Vol. 379, Springer-Verlag, Berlin-Heidelberg-New York, 1992, 182 Seiten
      • Marti, K.: Stochastic Oprimization Methods in Structural Design. In: Reliability and Optimization of Structural Systems '91, R. Rackwitz, P. Thoft-Christensen (eds.), Lecture Notes in Engineering, Vol. 76, Springer Verlag, Berlin-Heidelberg-New York 1992, pp. 453-464
      • Marti, K.: Approximations and Derivatives of Probabilities in Structural Design. ZAMM 72, T575 - T578 (1992)
      • Marti, K.: Stochastic Optimization in Structural Design. ZAMM 72, T452 - T464 (1992)
      • Marti, K.: Semi-Stochastic Approximation by the Response Surface Method (RSM). OPTIMIZATION 25, 209-230 (1992)
      • Marti, K.: Computation of Efficient Solutions of Discretely Distributes Stochastic Optimization Problems. ZOR 36, 259-294 (1992)
    • 1990
      • Marti, K.: Stochastic Optimization in Structural Mechanics. ZAMM 70, T742-T745 (1990)
      • Marti, K., Plöchinger, E.: Optimal Step Sizes in Semi-Stochastic Approximation Procedures I. Optimization 21, 1, 123-153 (1990)
      • Marti, K., Plöchinger, E.: Optimal Step Sizes in Semi-Stochastic Approximation Procedures II. Optimization 21, 2 281-312 (1990)
      • Marti, K.: Efficient Solutions of Stochastic Programs. In: Artificial Intelligence: Applications and Neural Networks, M.H. Hamza (ed.), ACTA Press, Anaheim-Calgary-Zürich 1990, pp. 5-9
      • Marti, K.: Stochastic programming: Numerical Solution Techniques by Semi-Stochastic Approximation Methods. In: Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, R. Slowinski, J. Teghem (eds.), Kluwer Academic Publ., Dordrecht 1990, pp. 23-43
      • Marti, K.: Computation of Efficient Solutions of Stochastic Optimization Problems with Applications to Regression and Scenario Analysis. In: Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, R. Slowinski, J. Teghem (eds.), Kluwer Dordrecht 1990, pp. 163-188
    • 1989
      • Marti, K.: Optimal Semi-Stochastic Approximation Procedures II. ZAMM 69, T67-T69 (1989)
      • Marti, K.: Optimal Semi-Stochastic Approximation. IMACS Annals on Computing and Applied Mathematics 4, 409-415 (1989)
    • 1988
      • Marti, K., Plöchinger, E.: Optimal Semi-Stochastic Approximation Procedures. ZAMM 68, T441-T443 (1988)
      • Marti, K.: Descent Directions and Efficient Solutions in Discretely Distributed Stochastic Programs. Lecture Notes in Economics and Mathematical Systems Vol. 299, Springer Verlag, Berlin-Heidelberg-New York, 1988, 178 Seiten
      • Marti, K.: Descent Stochastic Quasigradient Methods. In: Numerical Techniques for Stochastic Optimization, Yu. Ermoliev, R. J.-B. Wets (eds.), Springer Verlag, Berlin-Heidelberg-New York, 1989, S. 393-401
    • 1987
      • Marti, K.: Optimally Controlled Semi-Stochastic Approximation Procedures. In: Ökonomie und Mathematik, Opitz/Rauhut (Hrsg.) Springer-Verlag Berlin-Heidelberg, 1987, S. 216-230
      • Marti, K.: Solving Stochastic Optimization Problems by Semi-Stochastic Approximation Procedures. In: Applied Modelling ans Simulation of Technological Systems, P. Borne, S.G. Tzafestas (eds.), Elsevier Science Publ. (North-Holland), 1987, S. 559-568
      • Marti, K.: Construction of Descent Directions in Stochastic Programs Having a Discrete Distribution II. ZAMM 67, T408-T410 (1987)
    • 1986
      • Marti, K., Fuchs, E.: Rates of Convergence of Semi-Stochastic Approximation Procedures for Solving Stochastic Optimization Problems. Optimization 17, 243-265 (1986)
      • Marti, K., Fuchs, E.: Computation of Descent Directions and Efficient Points in Stochastic Optimization Problems Without Using Derivatives. Mathematical Programming Study 28, 132-156 (1986)
      • Marti, K.: On Accelerations of Stochastic Gradient Methods by Using Exact Gradient Estimations. Methods of Operations Research 53, 327-336 (1986)
      • Marti, K.: Controlled Random Search Procedures For Global Optimization. In: Stochastic Optimization, V.I. Arkin, A. Shiraev, R. Wets (eds.), Lecture Notes in Control and Information Sciences 81, 457-474 (1986)
    • 1985
      • Marti, K., Fuchs, E.: On the Convergence Rate of Semi-Stochastic Approximation Procedures. ZAMM 65, T315-317 (1985)
      • Marti, K.: Computation of Descent Directions in Stochastic Optimization Problems with Invariant Distributions. ZAMM 65, 355-378 (1985)
      • Marti, K.: Global Optimization by Random Search Methods. Proceedings 30. Intern. Wiss. Koll. TH Ilmenau, Reihe "Mathematische Optimierung - Theorie und Anwendungen", S. 87-90 (1985)
    • 1984
      • Marti, K.: On the Construction of Descent Directions in Stochastic Programs Having a Discrete Distribution. ZAMM 64, T336-338 (1984)
      • Rappl, G.: Konvbergenzraten von Random-Search-Verfahren zur Globalen Optimierung. Dissertation Universität der Bundeswehr München, Fakultät für Informatik, 1984
    • 1982
      • Marti, K.:Minimizing noisy objective functions by random search methods. ZAMM 62, T377-380 (1982)
    • 1981
      • Marti, K.: Über die Berechnung von Abstiegsrichtungen in stochastischen linearen Programmen bei Verteilungsinvarianz ZAMM 61, T341-343 (1981)
      • Marti, K.:On stochastic dominance and the construction of directions of decrease in stochastic programs having a discrete distribution. Operations Research Verfahren 41, 175-178 (1981)
    • 1980
      • Marti, K.: Approximations to stochastic programs. In: Stochastic Programming, M. Dempster (ed.), 159-166, Academic Press 1980 (Proceed. Conf. on toch. Progr., Oxford (1974)
      • Marti, K.: On approximative solutions of stochastic programming problems by means of Stochastic Dominance and Stochastic Dominance and Stochastic Penalty Methods. In: Survey of Mathematical Programming, A. Prekopa (ed.), 117-127, Hungarian Academy of Sciences 1980 (Proceedings 9th Int. Mathematical Programming Symposium)
      • Marti, K.: Random Search in optimization as a stochastic decision process. Operations Research Verfahren 36, 223-234 (1980)
      • Marti, K.: Solving stochastic linear programs by semistochastic approximation algorithm. In: Recent Results in Stoch.Progr., P. Kall, A. Prekopa (eds.), Lecture Notes in Economics and Mathematical Systems, 179, 191-213 (1980)
      • Marti, K.: Adaptive Zufallssuche in der Optimierung ZAMM 60, T 357-359 (1980)
      • Marti, K.: On Accelerations of the Convergence in Random Search Methods. Operations Research Verfahren 37, 391-406 (1980)
      • Marti, K.: Adaptive Random Search in Optimization. In: Measurement, Computers and Control, M.H. Hamza (ed.) 293-295, Zürich: ACTA Press 1980
    • 1979
      • Marti, K.: Diskretisierung stochastischer Programme unter Berücksichtigung der Problemstruktur. ZAMM 59, T105-108 (1979)
      • Marti, K.: Solving stochastic optimization problems by semistochastic approximation procedures. In: Measurement and Control, Vol.2, M.H. Hamza, S.G. Tzafestas (ed.) Zürich: ACTA Press 525-526 (1979)
      • Marti, K.: Approximationen stochastischer Optimierungsprobleme. Athenäum, Königstein/Ts., 1979 (Math. Syst. In Economics, Bd. 43, 212 S.)
      • Marti, K.: On solutions of stochastic programming problems by descent procedures with stochastic and deterministic directions. Operations Research Verfahren 33, 281-293 (1979)
    • 1978
      • Marti, K.: Lösung stochastischer linearer Programme mit complete recourse mittels stochastischer Penalty-Methoden. ZAMM 58, T491-494 (1978)
      • Marti, K.:Stabilität approximativer Lösungen stochastischer Programme bei Variationen der Parameterverteilung P. Operations Research Verfahren 29, 657-671 (1978)
      • Marti, K.: Stochastic linear programs with stable distributed random variables. In: Optimization Techniques Part 2, J. Stoer (ed.), Lecture Notes in Control and Information Sciences 7, 76-86 (1978)
      • Marti, K.:On stochastic dominance relations in stochastic programming. Transactions 8th Prague Conference, Vol. B, 35-44 (1978)
    • 1977
      • Marti, K.: Optimale Portefeuilles mit stabil verteilten Renditen. ZAMM 57, T337-339 (1977)
      • Marti, K.: Über stochastische Optimierungsprobleme bei Unsicherheit über die Verteilung des zufälligen Parameters. ZAMM 57, T335-337 (1977)
      • Marti, K.: Stochastische Dominanz und Stochastische Lineare Programme. Operations Research Verfahren 23, 141-160 (1977)
      • Marti, K.: Über Verallgemeinerungen der Kerridge-Inaccuracy und der Kullback-Divergence. Methods of Operations Research 26, 845-856 (1977)
      • Marti, K.: Approximative solutions of stochastic control problems by means of quasilinearization. In: M.H. Hamza (ed.): Measurement and Control, 183-188. Anaheim-Calgary-Zürich: ACTA Press (1977)
    • 1976
      • Marti, K.: Approximations to stochastic optimization problems. Proceedings Oberwolfach-Tagung über Optimierung und OR 1975, Springer Lecture Notes in Economics and Mathematical SystSystems 117, 201-213 (1976)
      • Marti, K.: Über das Schätzen von a priori Wahrscheinlichkeiten. Proceedings Nr. 5 der SVOR/DGOR-Tagung 1975, Physica Verlag, Würzburg, 160-169 (1976)
    • 1975
      • Marti, K.: Approximationen der Entscheidungsprobleme mit linearer Ergebnisfunktion und positiv homogener, subadditiver Verlustfunktion. Zeitschrift für Wahrscheinlichkeitstheorie 31, 203-233 (1975)
      • Marti, K.: Über zwei- und mehrstufige stochastische Kontrollprobleme. ZAMM 55, T281-282 (1975)
      • Marti, K.: Convex Approximations to Stochastic Optimization Problems. Methods of Operations Research 20, 66-76 (1975)
      • Marti, K.: Approximations to gradients in stochastic programming. ISI Bulletin 46/4, 137-140 (1975)
    • 1974
      • Marti, K.:Über ein Verfahren zur Lösung einer Klasse linearer Entscheidungsprobleme. ZAMM 54, T247-248 (1974)
    • 1973
      • Marti, K.: Entscheidungsprobleme mit linearem Aktionen- und Ergebnisraum. ZAMM 53, T226-228 (1973)
    • 1972
      • Marti, K.: Entscheidungsprobleme mit linearem Aktionen- und Ergebnisraum. Zeitschrift für Wahrscheinlichkeitstheorie 23, 133-147 (1972)
    • 1971
      • Marti, K.: Entscheidungstheoretische Grunlagen der Stochastischen Optimierung. Dissertation Universität Mannheim, Fakultät für Mathematik u. Informatik, 1971
      • Marti, K.: Konstruktion von Ordnungshomomorphismen. Methods of Operations Research 13, 274-278 (1971)
      • Marti, K.: Konvexitätsaussagen zum linearen stochastischen Optimierungsproblem. Zeitschrift für Wahrscheinlichkeitstheorie 18, 159-166 (1971)
    • 1970
      • Marti, K.: Stochastische Programme in normierten Räumen. Methods of Operations Research 10, 130-132 (1970)
    • 1969
      • Marti, K.: Konvexitätsaussagen zum linearen stochastischen Optimierungsproblem. Methods of Operations Research 8, 133-134 (1969)
  4. Technical Applications

    1. 4.1 Optimal Structural Design under Stochastic Uncertainty

      • 2012
        • Zier, S.: Optimal Design and Sensitivity of Large Spatial Trusses for the case of Uncertainty. To appear in: "Managing Safety of Heterogeneous Systems - Decisions under Uncertainties and Risks, Ermoliev, Y., Makowski, M., Marti, K. (eds.) , Lecture Notes in Economics and Mathematical Systems (LNEMS) Vol. 658, Berlin-Heidelberg [etc.]: Springer-Verlag 2012, pp. 307-324; URL doi: 10.1007/978-3-642-22884-1_15
      • 2011
        • Zier, S.: Comparison of Several Approaches to the Linear Approxsimation of the Yield Condition and Application to the Robust Design of Frames for the Case of Uncertainty. Computers & Structures (2011), available online: 17 April 2011; doi: 10.1016/j.compstruc.2011.03.015
      • 2010
        • Marti, K.: Stochastic Structural Optimization with Quadratic Loss Functions. Computers & Structures (CAS), Vol. 88, 2010, 1310-1321; doi: 10.1016/j.compstruc.2008.12.010
        • Marti, K.: Expected total cost minimum design of plane frames by means of stochastic linear programming methods (SLP). In: Coping with Uncertainty: Robust Solutions (eds. Marti, K., Ermoliev, Y., Makowski, M.). Lecture Notes in Economics and Mathematical Systemks (LNEMS), Vol. 633, Heidelberg-Berlin: Springer-Verlag, 2010, 163-192; ISBN 978-3-642-03734-4
        • Zier, S.: Optimal design and sensitivity of large plane frames for the case of uncertainty. PAMM 10, No.1, 2010, pp. 545-546; doi: 10.1002/pamm.201010265
      • 2009
        • Zier, S.: Optimal design and sensitivity of lage trusses under uncertainty. In: Proceedings WCSMO-8, Lisbon: ISSMO/APMTAC, 2009, paper #1582; ISBN 978-989-20-1554-5
        • Marti, K.: Discretely Distributed Stochastic Programs: Descent Directions and Efficient Points. In: Encyclopedia of Optimization, 2nd edition (eds. Floudas, C.A., Pardalos, P.M.), New York: Springer-Verlag, 2009, 744-751
        • Marti, K.: Stochastic Limit Load Analysis of Elasto-Plastic Plane Frames. In: Limit States of Materials and Structures: Direct Methods (eds. Weichert, D., Ponter, A.), Lightning Source UK Ltd., Milton Keynes: Springer Science+Business Media B.V., 2009, 87-111; doi: 10.1007/978-1-4020-9634-1_5
        • Zier, S., Marti, K.: Limit Load Analysis of Plane Frames Under Stochastic Uncertainty. In: Limit States of Materials and Structures: Direct Methods (eds. Weichert, D., Ponter, A.), Lightning Source UK Ltd., Milton Keynes: Springer Science+Business Media B.V., 2009, 113-134; doi: 10.1007/978-1-4020-9634-1_6
        • Marti, K.: Stochastic Optimal Structural Control: Active Control Actions. In: Proceedings of the 12th International Conference on Civil, Structural and Environmental Computing (CC2009) (eds. Topping, B.H.V., Costa Neves, L.F., Barros, R.C.). Stirlingshire, Scotland, U.K.: Civil-Comp Press 2009, paper #58; doi: 10.4203/ccp.91.58
      • 2008
        • Zier, S.: Optimal design of frames under stochastic uncertainty. PAMM, Vol. 7, Issue 1, 2008, 1061805-1061806
        • Zier, S.: Topology optimization of plane frames in case of random external loadings. PAMM, Vol. 8, Issue 1, 2008, 10045-10048
        • Zier, S.: Optimal Design of Trusses Considering Uncertainty: A Comparison of Two Approaches. In: Proceedings of the 9th International Conference on Computational Structures Technology (CST08) (eds. Topping, B.H.V., Papadrakakis, M.). Stirlingshire, U.K.: Civil-Comp Press 2008, paper #53; doi: 10.4203/ccp.88.53
        • Marti, K.: Limit Load and Shakedown Analysis of Plastic Structures under Stochastic Uncertainty. Computer Methods in Applied Mechanics and Engineering. (CMAME) 198, No. 1, 2008, pp. 42-51; doi: 10.1016/j.cma.2008.04.022
      • 2007
        • Kaymaz, I.,Marti, K.: Reliability-based design optimization for elastoplastic mechanical structures. Computers and Structures (CAS), Vol. 85, Issue 10, 2007, 615-625; doi: 10.1016/j.compstruc.2006.08.076
        • Marti, K.: Stochastic Structural Optimization with Quadratic Loss Functions. In: Proceedings of the 15th Conference of the ACM (Association of Computational Mechanics in Engineering) (ed.: Topping B.H.V.), Stirlingshire, U.K.: Civil-Comp Press, 2007, paper #3
        • Marti, K.: Reliability analysis of technical systems/structures by means of polyhedral approximation of the safe/unsafe domain. GAMM-Mitteilungen, Vol. 30, No. 2, 2007, 211-254
        • Marti, K.: Structural Analysis and Optimal Design under Stochastic Uncertainty with Quadratic Cost Function. In: Civil Engineering Computations: Tools and Techniques (ed. Topping, B.H.V.). Stirlingshire, Scotland, U.K.: Saxe-Coburg Publications, 2007, 173-197; doi: 10.4203/csets.16.8
      • 2006
        • Marti, K., Kaymaz, I.: Reliability Analysis for Elastoplastic Mechanical Structures Under Stochastic Uncertainty. ZAMM 86, No. 5, 2006, 358-384
        • Marti, K.: Multiple First Order Reliability Methods (MFORM). In: Proceedings of the 5th MATHMOD Vienna, Vol. 2 (eds. Troch, I., Breitenecker, F.). Vienna Univ. of Technology: ARGESIM Report No. 30, 2006, SP 28 (Stochastic Optimization Methods), Chap. 6, ISBN 3-901608-30-3
        • Kaymaz, I., Marti, K.: Explicit Methods for the Computation of Structural Reliailities in Stochastic Plastic Analysis. In: Coping with Uncertainty - Modeling and Policy Issues (eds. Marti, K. et al.), Berlin-Heidelberg-New York: Springer-Verlag, 2006, 85-103
      • 2005
        • Marti, K.: Explicit Formulations for Reliabilitty-Based Optimal Plastic Design Problems. In: Proceedings of the 10th International Conference on Civil, Structural and Environmental Engineering Computing (CC2005). (ed. Topping, B.H.V.), Stirlingshire, U.K.: Civil-Comp Press, 2005, paper 126, doi: 10.4203/ccp81.126
      • 2004
        • Marti, K., Stöckl, G.: Stochastic linear programming methods in limit load analysis and optimal plastic design under stochastic uncertainty. ZAMM 84, Nr. 10-11, 2004, 666-677
        • Marti, K.: Computation of Probabilities of Survival for Elastoplastic Mechanical Structures. In: Computational Structures Technology (eds. Topping, B.H.V., Soares, S.A.M.). Stirling, UK: Civil-Comp Press Ltd, 2004, paper #115
        • Marti, K.: Reliability-based plastic analysis and design using stochastic optimization methods. In: Reliability and Optimization of Structural Systems (eds. Maes, M.A., Huyse, L), Leiden-London-New York-Philadelphia-Singapore: A.A. Balkema Publishers, 2004, 377-383
      • 2003
        • Marti, K.: Plastic Structural Analysis under Stochastic Uncertainty. Math. And Comp. Modelling of Dyn. Systems (MCMDS) 9, No. 3, 2003, 303- 325
        • Marti, K.: Plastic Structural Analysis under Stochastic Uncertainty. ARGESIM Report no. 24 (eds. I. Troch, F. Breitenecker) ARGESIM-Verlag, Vienna, 2003, ISBN 3-901608-24-9 (Proceedings 41th MATHMOD Vienna, Feb. 5-7, 2003)
        • Marti, K.: Stochastic Optimization Methods in Optimal Engineering Design under Stochastic Uncertainty. ZAMM 83, Nr. 12, 2003, 795-811
        • Marti, K.: Stochastic optimization methods in plastic analysis and optimal plastic design. In: Progress in Civil and Structural Engineering Computing (ed. Topping, B.H.V.), Stirling, Scotland, UK: Saxe-Coburg Publ., 2003, 171-189
        • Marti, K.: Reliability-based plastic analysis and design using stochastic optimization methods. In: Reliability and Optimization of Structural Systems (eds. Maes, M.A., Huyse, L.), London [etc.]: Taylor and Francis Group, 2004, 377-383
        • Stöckl, G.: Optimaler Entwurf elastoplastischer mechanischer Strukturen unter stochastischer Unsicherheit. Fortschritt-Berichte VDI, Reihe 18, Nr. 278. Düsseldorf: VDI-Verlag GmbH, 2003
      • 2002
        • Marti, K.: Robust Optimal Desing: A Stochastic Optimization Problem. In: Stochastic Optimization Techniques: Numerical Methods and Technical Applications (ed. K. Marti), LNEMS, Vol. 513, Berlin [etc.]: Springer-Verlag, 2002, 35-55
        • Stöckl, G.: Stochastic Linear Programming Approach in Topology and Material Optimization. In: Stochastic Optimization Techniques: Numerical Methods and Technical Applications (ed. Marti, K.). LNEMS, Vol. 513. Berlin [etc.]: Springer-Verlag, 2002, 343-363
      • 2001
        • Marti, K.: Optimal Structural Design under Stochastic Uncertainty by Stochastic Linear Programming Methods. J. Reliability Engineering and System Safety (RESS) 72, No.2, 2001, 165-177
        • Marti, K.: Optimal Engineering Design by Means of Stochastic Optimization Methods. In: Emerging Methods for Treating Multidisciplinary Optimization Problems (eds. Blachut, J., Eschenauer, H.A.), CISM Courses and Lectures, Vol. 425, Wien-New York: Springer-Verlag 2001, 107-158
        • Marti, K.: Plastic Structural Analysis under Stochastic Uncertainty. In: ECCM-2001, Cracow: Inst. of Computer Methods in Civil Eng. 2001, Minisymp. 09
        • Stöckl, G.: Topology Optimization of Trusses under Stochastic Uncertainty. ZAMM 81, 2001, Suppl. 3, 697-698
        • Stöckl, G.: Stochastic Material and Topology Design. PAMM 1, 2002, 478-479
        • Marti, K.: Reliability-based Structural Optimization by Stochastic Linear Programming Techniques. In: Safety and Reliabilty, Vol. 2 (eds. Zio, E., Demichela, M. Piccinini, N.), Torino: Politecnico di Torino, 2001, 1015-1022
      • 2000
        • Marti, K., Stöckl, G.: Optimal Design of Frames by Using Stochastic Linear Programming Techniques. ZAMM 80, 2000, Suppl. 1, 93-96
        • Marti, K., Stöckl, G.: Topology and Geometry Optimization under Stochastic Uncertainty. In: Numerical Modelling of Uncertainties (eds. Level, P. et al.), Valenciennes: Presses Universitaires de Valenciennes 2000, 55-63
      • 1999
        • Marti, K.: Optimal Design of Trusses as a Stochastic Linear Programming Problem. In: Reliabilitiy and Optimization of Structural Systems (ed. Novak, A.S.), Ann Arbor, MI: The University of Michigan Press 1999, 231-239
        • Marti, K.: Optimal Structural Design under Stochastic Uncertainty by Stochastic Linear Programming Methods. In: Safety and Reliability (eds. Schueller, G.I., Kafka, P.), Vol. 1, Rotterdam-Brookfield: A.A. Balkema 1999, 9-15
        • Marti, K., Stöckl, G.: Optimal (Topology) Design under Stochastic Uncertainty. In: Safety and Reliability (eds. Schueller, G.I., Kafka, P.), Vol. 2, Rotterdam-Brookfield: A.A. Balkema 1999, 1597-1602
        • Marti, K., Stöckl, G.: Optimal Design of Trusses by Using Stochastic Linear Programming Techniques. ZAMM 79, 1999 Suppl. 1, 59-62
        • Marti, K., Stöckl, G.: Stochastic Linear Programming Techniques in Optimal Design Using the MSC/NASTRAN Module CMG. In: Tagungsband der MSC Anwenderkonferenz, MSC 1999, Kap. 20
      • 1998
        • Marti, K., Stöckl, G.: Solving Stochastic Structural Optimization Problems by RSM-Based Stochastic Gradient Procedures. In: Optimization in Industry - 1997 (eds. Belegundu, A.D., Mistree, F.), New York: ASME 1998, 127-134
        • Reinhart, J.: Implementation of the Response Surface Method for Stochastic Structural Optimization Problems. In: Stochastic Programming Methods and Technical Applications. LNEMS, Vol. 458 (eds. Marti, K., Kall, P.), Berlin-Heidelberg: Springer-Verlag 1998, 394-409
      • 1997
        • Marti, K.: Solving Stochastic Structural Optimization Problems by RSM-Based Stochastic Approximation Methods - Gradient estimation in case of intermediate variables. Mathematical Methods of Operations Research 46, No. 3(1997), 409-434
      • 1996
        • Marti, K.: Stochastic Approximation Methods in Optimal Structural Design: The Use of Intermediate Variables. In Proc. 22nd ASME Design Automation Conf., Irvine, CA, USA. New York: ASME 1996, 96-DETC/DAC-1458
        • Reinhart, J.: Discussion of stochastic effects on optimal fibre reinforced structures. ZAMM 76 (1996), Suppl. 3, 175-178
        • Reinhart, J.: Benutzer-Handbuch für STOSTROP. UniBw München, Fak. LRT, Institut für Mathematik und Rechneranwendungen, 1996
      • 1995
        • Reinhart, J.: Stochastische Optimierung von Faserverbundwerkstoffen. ZAMM 75 (1995), SII, 569-570
    2. 4.2 Optimal Control under Stochastic Uncertainty

      • 2016
        • Marti, K.: Stochastic optimization of regulators. Computers & Structures, in Press; doi: 10.1016/j.compstruc.2016.04.003
      • 2015
        • Marti, K., Stein. I.: Stochastic optimal oped-loop feedback control: Appoximate solution of the solution of the Hamiltonian system. ADES (Advances in Engineering Software), Vol. 89, 2015, pp. 43 - 51; doi: 10.1016/j.advengsoft.2015.06.008
        • Marti, K.: Optimal Feedback Control in case of Stochastic Uncertainty and Tracking Error Constraints. In: Proc. of the 15th Int. Conference on Civil, Structural and Environmental Engineering Computing, (eds.Kruis, J., Tsompanakis, Y., Topping, B.H.V.). Civil-Comp Press 2015, Stirlingshire, Scotland, UK, 2015, Paper #187; doi:10.4203/ccp.108
      • 2013
        • Marti, K., Stein, I.: Computing Stochastic Optimal Feedback Controls Using an Iterative Solution of the Hamiltonian System. In: Proc. of the 14th Int. Conference on Civil, Structural and Environmental Engineering Computing, (eds. Topping, B.H.V., Ivanyi, P.). Civil-Comp Press 2013, Stirlingshire, Scotland, UK, 2013, Paper #109; doi:10.4203/ccp.102
      • 2012
        • Marti, K.: Optimal Control of Dynamical Systems and Structures Under Stochastic Uncertainty: Stochastic Optimal Feedback Control. Advances Engineering Software (AES, Elsevier), Vol. 46, 2012, pp. 43-62,  URL: publication online 2010: doi: 10.1016/j.advengsoft.2010.09.008
        • Marti, K., Stein, I.: Robust Open-Loop Feedback Control in Structural Dynamics under Stochastic Uncertainty. In: Managing Safety of Heterogeneous Systems - Decisions under Uncertainties and Risks (eds. Ermoliev, Y., Makowski, M., Marti, K.), Lecture Notes in Economics and Mathematical Systems (LNEMS), Vol. 658, Berlin-Heidelberg [etc.]: Springer-Verlag 2012, pp. 263-289; URL doi: 10.1007/978-3-642-22884-1_13
        • Marti, K., Stein, I.: Optimal Structural Control under Stochastic Uncertainty: Robust Optimal Open-Loop Control. In: MathMod2012, Full Paper Preprint Volume (eds. Troch, I., Breitenecker, F.), ARGESIM Report No. S38, Vienna University of Technology 2012, Control Systems, Contribution #210
        • Marti, K.: Stochastic Optimal Open-Loop Feedback Control. In: Computational Methods for Engineering Science (ed. Topping, B.H.V.), Stirlingshire, Scotland, U.K.: Saxe-Coburg Publications, 2012, pp. 211-235; doi: 10.4203/csets.30.9
        • Marti, K.: Stochastic optimal structural control: Stochastic optimal open-loop feedback control. ADES (Advances in Engineering Software), Vol. 44, 2012, pp. 26-34; doi: 10.1016/j.advengsoft.2011.05.040
      • 2011
        • Marti, K.: Stochastic optimal structural control: Stochastic optimal open-loop feedback control. Online: Adv Eng Softw (Advances of Engineering Software) (2011), URL: http://dx.doi.org/10.1016/j.advengsoft.2011.05.040. Print version: Advances in Engineering Software, Vol. 44, 2012, 26-34
        • Marti, K.: Stochastic optimal structural control. In: Applications of Statistics and Probability in Civil Engineering (eds. M.H. Faber, J. Köhler, K. Nishijama), Boca Raton - London - New York - Leiden: CRC Press, Taylor & Francis Group, 2011, 2869-2876; ISBN: 978-0-415-66986-3
        • Marti, K., Stein, I.: Stochastic Optimal Open-Loop Feedback Control. In: Proceedings of the 13th Conference on Civil, Structural and Environmental Engineering Computing, CC2012 (eds. Topping, B.H.V., Tsompanakis, Y.). Stirlingshire, Scotland, UK, Paper #95, 2011. URL: http://dx.doi.org/10.4203/ccp.96.95
        • Schacher, M.: Optimal Feedback Control of Robots in the Case of Random Initial Conditions. Online publication in: Advances of Engineering Software (Elsevier), December 2011, URL: http://dx.doi.org/10.1016/j.advengsoft.2011.10.016
      • 2010
        • Marti, K.: Optimal Control of Dynamical Systems and Structures Under Stochastic Uncertainty: Stochastic Optimal Feedback Control. Advances Engineering Software (AES, Elsevier), 2010 publication online, doi: 10.1016/j.advengsoft.2010.09.008
        • Marti, K.: Optimal structural control under stochastic uncertainty. In: Reliability and Optimization of Structural Systems (ed. Straub, D.). Boca Raton - London - New York - Leiden: CRC Press, Taylor and Francis Group, 2010, 109 - 118
        • Marti, K.: Optimal Control under Stochastic Uncertainty: Stochastic Optimal Open-Loop Feedback Control. In: Proceedings of the 10th International Conference on Computational Structures Technology (eds.Topping, B.H.V., Adams, J.M., Pallares, Bru, R., Romero, M.L.). Stirlingshire, Scotland, U.K.: Civil-Comp Press 2010, paper #206; doi: 10.4203/ccp.93.206
        • Marti, K.: Continuous-Time Control under Stochastic Uncertainty. In: Encyclopedia of Operations Research and Management Science (EORMS) (eds. Cochran, J.J., Cox, L.A., Keskinocak, P., Khroufeh, J.P., Smith, J.C.). Hoboken, USA: Wiley, 2010, doi: 10.1002/9780470400531.eorms0839. ISBN: 9780470400531  
        • Schacher, M.: Optimal Open-Loop Feedback Control of Robots under uncertainty. PAMM 10, No. 1, 2010, pp. 541-542; doi: 10.1002/pamm.201010263
      • 2009
        • Marti, K.: Stochastic Structural Control: Active Control. In: Proceedings WCSMO-8, Lisbon: ISSMO/APMTAC, 2009, paper #1085; ISBN 978-989-20-1554-5
        • Schacher, M., Marti, K.: Stochastic Optimal Control of Robots under Stochastic Uncertaint: The Stochastic Hamiltonian. In: Proceedings WCSMO-8, Lisbon: ISSMO/APMTAC, 2009, paper #1565; ISBN 978-989-20-1554-5
      • 2008
        • Schacher, M.: Optimal control of robots under stochastic uncertainty: Robust feedback control. PAMM, Vol. 7, Issue 1, 2008, 1061801-1061802
        • Marti, K.: Stochastic Nonlinear Model Prediction Control (SNMPC). PAMM, Vol. 8, Issue 1, 2008, 10775-10776
        • Schacher, M.: Optimal PID controllers of robots under stochastic uncertainty. PAMM, Vol. 8, Issue 1, 2008, 10033-10036
        • Marti, K.: Approximative Solutions of Stochastic Control Problems by means of Convex Approximation. In: Proceedings of the 9th International Conference on Computational Structures Technology (CST08) (eds. Topping, B.H.V., Papadrakakis, M.). Stirlingshire, U.K.: Civil-Comp Press 2008, paper #52; doi: 10.4203/ccp.88.52
        • Schacher, M.: Optimal Control of Robots in the Case of Random Initial Conditions. In: Proceedings of the 9th International Conference on Computational Structures Technology (CST08) (eds. Topping, B.H.V., Papadrakakis, M.). Stirlingshire, U.K.: Civil-Comp Press 2008, paper #56; doi: 10.4203/ccp.88.56
      • 2006
        • Mamontov, E., Koptiong, A., Mangard, M., Marti, K.: Asymptotic Trajectory Matching in Self-Navigation of Autonomous Manless Interceptors: A Nonsearch Method and a Formulation of the Functional Optimization of the Stability of Random Systems. In: Proceedings 5th MATHMOD Vienna, Vol. 2 (eds. Troch, I., Breitenecker, F.). Vienna Univ. of Technology: ARGESIM Report No. 30, 2006, SP 28 (Stochastic Optimization Models), Chap. 7, ISBN 3-901608-30-3  
      • 2004
        • Marti, K.: Adaptive Optimal Stochastic Trajectory Planning and Control (AOSTPC) for Robots. In: Dynamic Stochastic Optimization (ed. Marti, K., Ermoliev, Y., Pflug, G.). LNEMS, Vol. 532, Berlin [etc.]: Springer-Verlag, 2004, 155-206
        • Aurnhammer, A., Marti, K.: Real-time Robust Optimal Trajectory Planning of Industrial Robots. In: Dynamic Stochastic Optimization (eds. Marti, K., Ermoliev, Y., Pflug, G.). LNEMS, Vol. 532, Berlin- Heidelberg: Springer-Verlag, 2004, 133-154
      • 2003
        • Marti, K., Aurnhammer, A.: Robust Feedback Control of Robots using Stochastic Optimization. PAMM 3, 2003, 497-498
        • Aurnhammer, A., Marti, K.: Feedback Control of Industrial Robots by Means of Stochastic Optimization Techniques. PAMM 3, 2003, 9-12
        • Marti, K.: Stochastic Optimization Methods in Robust Adaptive Control of Robots. ROCOND 2003, CD-ROM, 4th IFAC Symp. on "Robust Control Design", Milano, 25-27 June, 2003
      • 2002
        • Aurnhammer, A.: Stochastic Real-time Control of Robots by Means of Neural Networks. In: Stochastic Optimization Techniques: Numerical Methods and Technical Applications (ed. Marti, K.), Berlin [etc.]: Springer-Verlag 2002, LNEMS, Vol. 513, 155-173
        • Aurnhammer, A., Marti, K.: Robust Control of Robots by Stochastic Optimization Techniques. PAMM 1, 2002, 454-455
        • Marti, K.: Stochastic Programming Methods in Adaptive Optimal Trajectory Planning for Robots. ZAMM 82, 2002, 795-809
        • Marti, K., Aurnhammer, A.: Robust Optimal Trajectory Planning for Robots by Stochastic Optimization. Math. And Comp. Modelling of Dyn. Systems (MCMDS) 8, No. 1, 2002, 75-116
        • Aurnhammer, A.: Real-time Optimal Stochastic Trajectory Planning of Robots by means of Sensitivity Analysis. In: Structural Dynamics, EURODYN 2002 (eds. Grundmann, D., Schueller, G.I.), Lisse: Swets and Zeitlinger, 2002, 607-612
        • Aurnhammer, A.: Robuste Optimale Echtzeitsteuerung von Industrierobotern durch Stochastische Optimierung. In: ROBOTIK 2002 (ed. VDI/VDE). VDI Bericht Nr. 1679. Düsseldorf: VDI Verlag GmbH, 2002, 65-70
      • 2001
        • Marti, K.: Robust Optimal Control of Robots by means of Stochastic Optimization. ZAMM 81, 2001, Suppl. 3, 685-686
        • Aurnhammer, A., Marti, K.: Adaptive Optimal Trajectory Planning in Real-Time using Neural Network Approximations. ZAMM 81, 2001, Suppl. 3, 653-654
        • Marti, K.: Stochastic Optimization Methods in Robust Adaptive Control of Robots. In: Online Optimization of Large Scale Systems (eds. Grötschel, M. et al.), Berlin-Heidelberg: Springer-Verlag 2001, 545- 577
        • Aurnhammer, A., Marti, K.: Adaptive Optimal Stochastic Trajectory Planning - Numerics and Real-time Application. In: Online Optimization of Large Scale Systems (eds. Grötschel, M. et al.), Berlin- Heidelberg: Springer-Verlag 2001, 521-543
      • 2000
        • Marti, K.: Robust Adaptive Control of Robots by Stochastic Optimization Methods. In: Identification, Control and Optimisation of Engineering Structures (eds. De Roeck, G., Topping, B.H.V.), Edinburgh, U.K.: Civil-Comp Press 2000, 15-28
        • Marti, K., Aurnhammer, A.: Reduction of the On-line Measurement and Control Expenses by Adaptive Stochastic Path Planning and Control (ASPPC) for Robots. ZAMM 80, 2000, Suppl. 1, 97-100
        • Marti, K., Aurnhammer, A.: Robust Adaptive Control of Robots by Means of Stochastic Optimization Techniques. ARGESIM-Report (eds. Troch, I., Breitenecker, F.), No. 15, Vol. 2. Wien: ARGE Simulation News 2000, 875-878
      • 1999
        • Marti, K.: Path Planning for Robots under Stochastic Uncertainty. Optimization 45, 1999, 163-195
        • Marti, K., Aurnhammer, A.: Adaptive stochastic path planning and control (ASPPC). In: Safety and Reliability (eds. Schueller, G.I., Kafka, P.), Vol. 2, Rotterdam-Brookfield: A.A. Balkema 1999, 1609-1614
        • Marti, K., Qu, S.: Adaptive stochastic path planning for robots - Real-time optimization by means of neural networks. In: System Modelling and Optimization (eds. Polis, M.P. et al.), CRC Research Notes in Mathematics, Boca Raton: Chapman and Hall 1999, 486-494
      • 1998
        • Marti, K., Qu, S.: Adaptive Stochastic Path Planning for Robots - Path Planning in Real-time. In: OR Proceedings 1997 (eds. Kischka, P. et al.), Berlin etc.: Springer-Verlag 1998, 144-149
        • Marti, K., Qu, S.: Path Planning for Robots by Stochastic Optimization Methods. J. Intelligent and Robotic Systems 22, 1998, 117-127
        • Marti, K., Qu, S.: Adaptive Stochastic Path Planning For Robots in Real-Time. In: Proc. Int. Conf. on CONTROL '98, Vol. II, London: IEE 1998, 1658-1663
        • Marti, K., Qu, S.: Adaptive Stochastic Path Planning for Robots - Path Planning in Real-time. In: OR Proceedings 1997 (eds. Kischka, P. et al.), Berlin etc.: Springer-Verlag 1998, 144-149
        • Marti, K., Qu, S.: Adaptive stochastic path planning for robots - Real-time optimization by means of neural networks. In: System Modelling and Optimization (Kall, P., Lasiecka, I., Polis, M.), London: Addison-Wesley Longman 1998
        • Marti, K., Qu, S.: Adaptive Stochastic Path Planning For Robots in Real-Time. In: Proc. Int. Conf. on CONTROL '98, Vol. II, London: IEE 1998, 1658-1663
        • Qu, S.: Stochastic Trajectory Planning for Manutec r3 with Random Payload. In: Stochastic Programming Methods and Technical Applications. LNEMS, Vol. 458 (eds. Marti, K., Kall, P.), Berlin-Heidelberg: Springer-Verlag 1998, 382-393
        • Qu, S., Marti, K.: Adaptive Stochastic Trajectory Planning for Robots. ZAMM 78, 1998, Suppl. 3, 1041-1042
      • 1997
        • Qu, S. Stochastic Trajectory Planning for Robots and its Applications ob Manutec r3. ZAMM 77 (1997), Suppl. 2, 651-652
      • 1996
        • Marti, K., Qu, S.: Optimal Trajectory Planning for Robots under the Consideration of Stochastic Parameters and Disturbances - Computation of an Efficient open-loop Strategy. J. Intelligent and Robotic Systems 15 (1996), 19-23
        • Marti, K.: Stochastic Path Planning for Robots. In: Proc. 6th Int. Symp. Measurement and Control (ed. Baudoin, Y.), IMEKO-BIRA-BSMEE 1996, 394-399
        • Haubach, C.: Flexible Robots - An Example of Stochastic Structural Optimization. ZAMM 76 (1996), Suppl. 3, 171-174
        • Qu, S.: An Efficient Open-loop Strategy for Robotic Systems under Stochastic Uncertainty. ZAMM 76 (1996), Suppl. 3, 25-28
      • 1995
        • Haubach, C.: Optimale Auslegung flexibler Roboter als stochastisches Optimierungsproblem. ZAMM 75 (1995) SII, 561-562
        • Marti, K.: Optimal Trajectory Planning for Robots under Stochastic Uncertainty. In: Proc. IFAC-Workshop on Motion Control (ed. F. Pfeiffer), TU Muenchen 1995, 640-647
        • Marti, K., Qu, S.: Optimal Trajectory Planning for Robots under the Consideration of Stochastic Parameters and Disturbances. In: Stochastic Programming: Numerical Techniques and Engineering Applications. LNEMS, Vol. 423 (eds. Marti, K., Kall, P.), Berlin-Heidelberg- New York: Springer-Verlag 1995, 268-288
        • Qu, S., Marti, K.: Berechnung von Vorsteuerungen für Roboter mittels Stochastischer Optimierung und Untersuchung ihres Einflusses auf die online Regelung. ZAMM 75 (1995), SII, 567-568
        • Haubach, C.: Optimal Design of Flexible Robots by Stochastic Structural Optimization Methods. In: WCSMO-1 (eds. Olhoff, N., Rozvany, G.I.N.), Oxford-New York-Tokyo: Elsevier Science Ltd. 1995, 641-646
      • 1994
        • Marti, K., Qu, S.: Computation of an Efficient Open-Loop Strategy and its Influence on Feed-Back Control. In: Intelligent Robots and Systems, Vol. 1 (ed. Graefe, V.), Piscataway, NJ, USA: IEEE Service Center 1994, 322-328
      • 1993
        • Marti, K., Qu, S.: Optimale Bahnplanung für Roboter unter Berücksichtigung stochastischer Parameterschwankungen und Störgrössen - Berechnung einer effizienten Vorsteuerung. In VDI-Bericht Nr. 1094, Duesseldorf: VDI-Verlag 1993, 525-534