"STOCHASTIC
OPTIMIZATION IN ENGINEERING"
www.stoch.net
Publications
– PART I, 1970 - 2004
Selected Monographs, Proceedings Volumes,
Textbooks and Special Issues of
Journals
- Publications of the author and his
collaborators
- Monographs, Proceedings Volumes
- Mathematical Foundations
- Stochastic Optimization Methods
- Technical Applications
4.1 Optimal Structural Design under
Stochastic Uncertainty
4.2 Optimal Control and Design of Robots
under Stochastic Uncertainty
Selected
Monographs, Proceedings Volumes, Textbooks and Special Issues of
Journals
Stochastic Optimization Methods
Marti, Kurt
Springer-Verlag, ISBN: 3-540-22272-3
2005, XIII, 314 S., 14 S. illus., Hardcover, Ladenpreis 85,55 Euro
Weitere Informationen über dieses Buch
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, Ladenpreis 19,95 Euro
Weitere Informationen über dieses Buch
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, Ladenpreis 53,45 Euro
Weitere Informationen über dieses Buch
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, Ladenpreis 19,95 Euro
Weitere Informationen über dieses Buch
Publications of the author and his
collaborators
Monographs, Proceedings Volumes
1971
Marti, K.: Entscheidungstheoretische Grundlagen der Stochastischen
Optimierung. Dissertation Universität Mannheim, Fakultät für Mathematik
u. Informatik, 1971
1979
Marti, K.: Approximationen stochastischer Optimierungsprobleme.
Athenäum,
Königstein/Ts., 1979 (Math. Syst.
In Economics, Bd. 43, 212
S.)
1984
Rappl, G.: Konvergenzraten von Random-Search-Verfahren zur Globalen
Optimierung. Dissertation Universität der Bundeswehr München, Fakultät
für Informatik, 1984
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
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
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
1996
Marti, K., Mahrenholtz, O., Mennicken,
R. (eds.): Applied Stochastics
and Optimization. Special Issue
ICIAM/GAMM 1995. ZAMM 76 (1996),
Supplement 3
1997
Marti, K. (ed.): Structural Reliability
and Stochastic Structural
Optimization; Special Issue. Math.
Methods of OR 46, No. 3 (1997),
285-434
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
1999
Marti, K., Gröger, D.: Brückenkurs Mathematik. Lutherstadt Wittenberg:
Roesemarie Peikert Verlag und Versandbuchhandlung 1999
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.
2002
Marti, K. (ed.): Stochastic
Optimization Techniques: Numerical Methods
and Technical Applications. LNEMS, Vol. 513, Berlin [etc.]:
Springer-Verlag, 2002
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
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.
2005
Marti, K,: Stochastic Optimization Methods. Berlin-Heidelberg:
Springer-Verlag, 2005
Mathematical Foundations
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
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
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
1997
Marti, K.: Approximation and
derivatives of probabilities of survival in
structural analysis and design.
Structural Optimization 13 (1997),
230-243
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
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
Stochastic Optimization Methods
1969
Marti, K.: Konvexitätsaussagen zum linearen stochastischen
Optimierungsproblem. Methods of Operations Research 8, 133-134 (1969)
1970
Marti, K.:
Stochastische Programme in normierten Räumen. Methods of
Operations Research 10, 130-132 (1970)
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)
1972
Marti, K.: Entscheidungsprobleme mit linearem Aktionen- und
Ergebnisraum. Zeitschrift für Wahrscheinlichkeitstheorie 23, 133-147
(1972)
1973
Marti, K.: Entscheidungsprobleme mit linearem Aktionen- und
Ergebnisraum. ZAMM 53, T226-228 (1973)
1974
Marti, K.:Über ein Verfahren zur Lösung einer Klasse linearer
Entscheidungsprobleme. ZAMM 54, T247-248 (1974)
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)
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)
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)
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)
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)
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
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)
1982
Marti, K.:Minimizing noisy objective
functions by random search methods.
ZAMM 62, T377-380 (1982)
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
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)
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)
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)
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
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)
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
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)
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
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
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)
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
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
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
Preprints
Marti, K.: Stochastische Dominanz und Konstruktion von
Abstiegsrichtungen in stochastischen Programmen bei
Verteilungssymmetrien. Mitteilungen des Forschungsschwerpunktes
"Simulation u. Optimierung deterministischer u. stochastischer
dynamischer Systeme", HSBw München, 1980
Marti, K.: Stochastic dominance and
the construction of descent
directions in stochastic programs
having a discrete distribution.
Mitteilungen des Forschungsschwerpunktes "Simulation u. Optimierung
deterministischer u. stochastischer dynamischer Systeme", HSBw München,
1980
Marti, K.: Computation of descent
directions in stochastic optimization
problems with invariant distributions. Mitteilungen des
Forschungsschwerpunktes "Simulation und Optimierung deterministischer
und stochastischer dynamischer Systeme", HSBw München, 1982
Marti, K.: Computation of Descent
Directions and Stationary (Efficient)
Points in Stochastic Optimization
Problems Having Discrete
Distributions. Mitteilungen des Forschungsschwerpunktes "Simulation u.
Optimierung deterministischer und stochastischer dynamischer Systerme",
UniBw München, 1986, (Monographie, 180 Seiten)
Marti, K.: Optimal Step Sizes in
Semi-Stochastic Approximation
Procedures. Mitteilungen des Forschungsschwerpunktes "Simulation und
Optimierung deterministischer und stochastischer dynamischer Systeme"
UniBw München, 1988/89
Technical Applications
4.1 Optimal Structural Design under Stochastic
Uncertainty
1995
Reinhart, J.: Stochastische Optimierung von Faserverbundwerkstoffen.
ZAMM 75 (1995), SII, 569-570
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
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
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
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
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
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
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
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.: Stochastic Optimization Methods in Optimal
Engineering
Design under Stochastic Uncertainty.
ZAMM 2003, Nr. 12, 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
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 #15
Selected Preprints
Reinhart, J.: Benutzer-Handbuch für STOSTROP. UniBw München, Fak. LRT,
Institut für Mathematik und Rechneranwendungen, 1996
4.2 Optimal Control and Design of
Robots under Stochastic Uncertainty
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
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
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
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
1997
Qu, S. Stochastic Trajectory
Planning for Robots and its Applications
ob Manutec r3. ZAMM 77
(1997), Suppl. 2, 651-652
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
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
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
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
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
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
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
Selected Preprints
Qu, S., Marti, K.: OSPP (Optimal
Stochastic Path Planning) -
FORTRAN-Program zur optimalen stochastischen Bahnplanung von Robotern.
DFG-Schwerpunkt "Echtzeitoptimierung grosser Systeme, Berlin, 1997,
Preprint Nr. 97-13
Marti, K.: Adaptive Optimal Stochastic
Trajectory Planning and Control
(AOSTPC) for Robots. Preprint No.
00-21, Berlin:
DFG-Schwerpunktprogramm "Echtzeitoptimierung grosser Systeme" 2000
Publications
– PART II, 2003 -
2003
K. Marti
“Plastic Structural Analysis under
Stochastic Uncertainty”. MCMDS
(Mathematical and Computer Modelling
of Dynamical Systems) Vol. 9, No.
3, 2003, pp. 303 – 325
K. Marti
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)
K. Marti
“Stochastic Optimization Methods in
Optimal Engineering Design under
Stochastic Uncertainty”. ZAMM 83,
2003, Issue 12, pp. 795-811
K. Marti, A. Aurnhammer
“Robust Feedback Control of
Robots using
Stochastic Optimization”. PAMM
3, 2003, pp. 497 – 498 (GAMM 2003,
Abano Terme/Padua)
A. Aurnhammer, K. Marti
“Feedback Control of Industrial
Robots by Means of Stochastic
Optimization Techniques”. PAMM
3, 2003, pp. 9-12
GAMM 2003, Abano
Terme/Padua)
K. Marti
“Stochastic Optimization
Methods in Robust
Adaptive Control of Robots”.
Proceedings ROCOND (Robust Control
Design) 2003, Milano, Italien
National Member Organization of IFAC
(CD ROM) (4th IFAC Symp. on
“Robust Control Design”, Milano, June
25-27, 2003)
K. Marti
“Stochastic optimization methods in
plastic analysis and optimal
plastic design”. In: “Progress in
Civil and Structural Engineering
Computing”, B.H.V. Topping (ed.),
Saxe-Coburg Publ., Stirling,
Scotland, UK, 2003, pp. 171 – 189
(Invited Lecture CC 03 / AICC 03,
Egmond-aan-Zee, NL, 02.-04.09.2003)
G. Stöckl
„Optimaler Entwurf elastoplastischer mechanischer Strukturen unter
stochastischer Unsicherheit“. Fortschritt-Bericht VDI, Reihe 18
(Mechanik / Bruchmechanik), Nr. 278, VDI-Verlag GmbH, Düsseldorf 2003
(Dissertation UniBw München, Fak. LRT,
, Dez. 2002)
2004
K. Marti
“Adaptive Optimal Stochastic
Trajectory
Planning and Control (AOSTPC) for
Robots”. In: „Dynamic Stochastic
Optimization“, Marti, K., Y. Ermoliev,
G. Pflug (eds), LNEMS, Vol. 532, Springer-Verlag Berlin [etc.], 2004, pp.
155 – 206 (Proceedings
IFIP/IIASA/GAMM-Workshop on “Dynamic Stochastic
Optimization, IIASA Laxenburg, March
11-14, 2002)
A. Aurnhammer, K. Marti
“Real-time Robust Optimal Trajectory
Planning of Industrial Robots”. In:
“Dynamic Stochastic Optimization”,.),
Marti, K., Ermoliev, Y., Pflug, G.
(eds.), LNEMS, Vol. 532, Berlin-Heidelberg: Springer-Verlag, 2004, pp.133
- 154 (Proceedings IFIP/IIASA/GAMM-Workshop on
“Dynamic Stochastic
Optimization”, IIASA Laxenburg, March,
11-14, 2002)
K. Marti
“Reliability-based plastic analysis and
design using stochastic
optimization methods”. In: “Reliability
and Optimization of Structural
Systems”, M.A.Mass, L. Huyse (eds),
A.A. Balkema Publishers, Leiden-
London-New York-Philadelphia-Singapore
(Taylor and Francis Group,
London), 2004, pp. 377 – 383(Proceed.
11th IFIP WG7.5 Working Conference,
Banff, Canada, 2-5 November,
2003)
K. Marti, G. Stöckl
“Stochastic linear
programming methods in limit
boad analysis and optimal
plastic design under stochastic
uncertainty”. ZAMM 84, No. 10 - 11, 2004,
pp. 666 – 677 (ZAMM-Special Issue
“Pertisau”, 29. Sept. –
01.10.2002,
Pertisau, Tirol)
K. Marti
“Computation of Probabilities of
Surrivel for Elastoplastic Mechanical
Structures”. In: Proceedings of the 7th
Int.Conf. on Computational
Structural Technology, B.H.V. Topping,
C.A. Mofa Soares (eds.), Civil
Comp Press Ltd., 2004, Stirling, UK,
paper 115 (CST2004, 7.-9
September 2004, Lisbon (Portugal), B. Topping)
K. Marti, G. Gröger
“Grundkurs Mathematik für Ingenieure, Natur- und Wirtschaftswissen-
schaftler”, 2. Auflage. Physica / Springer-Verlag, Heidelberg, 2004
M. Oberguggenberger, G.I. Schuëller, K. Marti
„Fuzzy sets, imprecise probability
and stochastics in engineering“ (ZAMM
Special Issue). ZAMM 84, No. 10 – 11,
2004, pp. 659 – 771
2005
K. Marti
“Explicit Formulations for Reliability-Based
Optimal Plastic Design
Problems”. In: Proceedings of the 10th
International Conference on Civil,
Structural and Environmental.
Engineering Computing (CC2005), B.H.V.
Topping (ed.), Civil-Comp Press, 2005,
Stirling, UK, paper 126
K. Marti
“Stochastic Optimization Methods”, Springer-Verlag, Berlin-Heidelberg-New
York, 2005; 314 Seiten, ISBN 3-540-22272-3
2006
K. Marti, I. Kaymaz
Reliability Analysis for Elastoplastic
Mechanical Structures Under
Stochastic Uncertainty. ZAMM 86, No. 5,
2006, pp. 358 – 384
K. Marti
“Multiple First Order Reliability
Methods” (MFORM). In: Proceedings 5th
ATHMOD Vienna, Vol. 2; Vienna
University of Technology, ARGESIM Report
no. 30, 2006; SP 28 (Stochastic Optimization Methods), Chap. 6. Eds.: I.
Troch, F. Breitenecker, ISBN 3-901608-30-3
E. Mamontov, A. Koptiong, M.
Mangard, K. Marti
“Asymptotic Trajectory Matching in
Self-Navigation of Autonomons Manless
Interceptors: A Nonsearch Method. And a
Formulation of the Funoptional
Optimization of the Stability of Random
Systems”. In: Proceedings 5th
MATHMOD Vienna, Vol. 2; Vienna Univ. of
Technology, ARGESIM Report no 30,
2006; SP 28 (Stochastic Optimization
Models), Chap. 7, eds.: I. Troch, F.
Breitenecker, ISBN 3-901608-30-3
I. Kaymaz, K. Marti
“Explizit Methods for the
Computation
of Structural Reliabilities in
Stochastic Plastic Analysis”. In:
“Coping with Uncertainty, Modeling and
Policy Issues”, K. Marti et al. (eds.),
LNEMS Vol. 581, Springer-Verlag,
Berlin-Heidelberg-New York, 2006, pp.
85-103
F. Ceragioli, A. Dontchev, H. Furuta,
K. Marti, L. Pandolfi
“System Modeling and Optimization”,
Springer-Verlag, New York, 2006
(Proceedings 22nd IFIP TC 7
Conf.,Turin, July 18-22, 2005)
K. Marti, D. Gröger
„Stochastische Strukturoptimierung von Stab- und Balkentragwerken“
Springer-Verlag, Heidelberg, 2006; 304 Seiten, ISBN 3-540-26038-2
K. Marti et al. (eds.)
„Coping with Uncertainty – Modeling and Policy Issues”. LNEMS Vol. 581,
Springer-Verlag, Berlin-Heidelberg-New York, 2006
T. Zantz
„Einstufige approximative optimale stochastische Planung neuer
Robotertrajektorien in Echtzeit“, Dissertation, Fak. LRT, Tag der Prüfung
21.06.2006
2007
I. Kaymaz, K. Marti
“Reliability-based design optimization
for elastoplastic mechanical
structures”. Accepted for publication
in “Computers and Structures
(CAS)”, CAS 85, Issue 10,
615-625, 2007
K.Marti et al. (eds.)
„Stochastic Structural Analysis,
Optimization and Re-analysis”. CAS,
Special Issue, Vol. 85, Issue 10, 2007
K. Marti
“Stochastic Structural Optimization
with Quadratic Loss Functions”. In:
Proceedings of the 15th UK
Conference of the ACME (Association of
Computational Mechanics in
Engineering), B.H.V. Topping (ed.), Civil-Comp
Press, Stirlingshire, UK, paper #3,
2007
K. Marti
“Reliability analysis of technical
systems/structures by means of
polyhedral approximation of the safe/unsafe domain”. GAMM-Mitteilungen
30, Heft 2, 211-254, 2007
H.A. Eschenauer, K. Marti (eds.)
„GAMM-Themenheft: Reliability-Based
Optimization: Fundamentals and
Applications“, GAMM-Mitteilungen 30,
No.2, 210-349, 2007
K. Marti
“Structural Analysis and Optimal Design
under Stochastic Uncertainty with
Quadratic Cost Function”. In: “Civil
Engineering Computations: Tools and
Techniques”, B.H.V. Topping (ed.),
Saxe-Coburg Publications,
Stirlingshire, Scotland, UK, 173-197, 2007
2008
M. Schacher
“Optimal control of robots under
stochastic uncertainty: robust feedback
control”. PAMM, Vol. 7, Issue 1,
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