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This new edition of Stochastic Linear Programming: Models, Theory
and Computation has been brought completely up to date, either
dealing with or at least referring to new material on models and
methods, including DEA with stochastic outputs modeled via
constraints on special risk functions (generalizing chance
constraints, ICC's and CVaR constraints), material on Sharpe-ratio,
and Asset Liability Management models involving CVaR in a
multi-stage setup. To facilitate use as a text, exercises are
included throughout the book, and web access is provided to a
student version of the authors' SLP-IOR software. Additionally, the
authors have updated the Guide to Available Software, and they have
included newer algorithms and modeling systems for SLP. The book is
thus suitable as a text for advanced courses in stochastic
optimization, and as a reference to the field. From Reviews of the
First Edition: "The book presents a comprehensive study of
stochastic linear optimization problems and their applications. ...
The presentation includes geometric interpretation, linear
programming duality, and the simplex method in its primal and dual
forms. ... The authors have made an effort to collect ... the most
useful recent ideas and algorithms in this area. ... A guide to the
existing software is included as well." (Darinka Dentcheva,
Mathematical Reviews, Issue 2006 c) "This is a graduate text in
optimisation whose main emphasis is in stochastic programming. The
book is clearly written. ... This is a good book for providing
mathematicians, economists and engineers with an almost complete
start up information for working in the field. I heartily welcome
its publication. ... It is evident that this book will constitute
an obligatory reference source for the specialists of the field."
(Carlos Narciso Bouza Herrera, Zentralblatt MATH, Vol. 1104 (6),
2007)
This new edition of Stochastic Linear Programming: Models, Theory
and Computation has been brought completely up to date, either
dealing with or at least referring to new material on models and
methods, including DEA with stochastic outputs modeled via
constraints on special risk functions (generalizing chance
constraints, ICC's and CVaR constraints), material on Sharpe-ratio,
and Asset Liability Management models involving CVaR in a
multi-stage setup. To facilitate use as a text, exercises are
included throughout the book, and web access is provided to a
student version of the authors' SLP-IOR software. Additionally, the
authors have updated the Guide to Available Software, and they have
included newer algorithms and modeling systems for SLP. The book is
thus suitable as a text for advanced courses in stochastic
optimization, and as a reference to the field. From Reviews of the
First Edition: "The book presents a comprehensive study of
stochastic linear optimization problems and their applications. ...
The presentation includes geometric interpretation, linear
programming duality, and the simplex method in its primal and dual
forms. ... The authors have made an effort to collect ... the most
useful recent ideas and algorithms in this area. ... A guide to the
existing software is included as well." (Darinka Dentcheva,
Mathematical Reviews, Issue 2006 c) "This is a graduate text in
optimisation whose main emphasis is in stochastic programming. The
book is clearly written. ... This is a good book for providing
mathematicians, economists and engineers with an almost complete
start up information for working in the field. I heartily welcome
its publication. ... It is evident that this book will constitute
an obligatory reference source for the specialists of the field."
(Carlos Narciso Bouza Herrera, Zentralblatt MATH, Vol. 1104 (6),
2007)
Optimization problems arising in practice usually contain several
random parameters. Hence, in order to obtain optimal solutions
being robust with respect to random parameter variations, the
mostly available statistical information about the random
parameters should be considered already at the planning phase. The
original problem with random parameters must be replaced by an
appropriate deterministic substitute problem, and efficient
numerical solution or approximation techniques have to be developed
for those problems. This proceedings volume contains a selection of
papers on modelling techniques, approximation methods, numerical
solution procedures for stochastic optimization problems and
applications to the reliability-based optimization of concrete
technical or economic systems.
In order to obtain more reliable optimal solutions of concrete
technical/economic problems, e.g. optimal design problems, the
often known stochastic variations of many technical/economic
parameters have to be taken into account already in the planning
phase. Hence, ordinary mathematical programs have to be replaced by
appropriate stochastic programs. New theoretical insight into
several branches of reliability-oriented optimization of stochastic
systems, new computational approaches and technical/economic
applications of stochastic programming methods can be found in this
volume.
Contents: Optimality and Duality. - Mathematical Programming -
Algorithms: -Computational Geometry. - Discrete Optimization. -
Linear programming and Complementarity. - Nonlinear Programming. -
Optimal Control: - Control Problems. - Distributed Parameter
Systems; Stochastic Programming; Applied Modelling and
Optimization: Biological and Medical Systems. - Computer-aided
Modelling and Design. -Ecology. - Economy and Energy. - Financial
Services. - Production and Logistics. - Stochastic Modelling.
This vo1ume contains most of the papers (two of the~ as extended
abstracts) presented at a meeting on stochastic programming, held
at Oberwolfach, January 28 - February 3, 1979. A1though the number
of participants had to be small for technical rea- sons, the area
covered by the 1ectures during the meeting was rather broad. lt
contains fundamental theoretical problems - e.g. continuity in
parametric programming, optima1ity conditions and decision rules
for stochastic programming problems and convexity statements also
nee- ded for chance constrained problems - as well as very
important prac- tical problems, as computational methods for
various models and appli- cations to water storage problems,
dynamic inventory control, asphalt mixing, portfolio selection, and
so on. Without any doubt there are still many theoretical and
computational problems of this field unso1ved, and some of them can
be discovered in this volume. On the other hand, the papers
presented here also show, that during the last two decades
knowledge - theoretical and computa- tional - on stochastic
programming, and practical experience with it, have been developped
so far, that neglecting apriori the stochastic nature of parameters
for almost every price - very often done in mo- delling a practical
decision situation as deterministic optimization problem - can no
longer be justified.
Based on extensive orginal research, this book tells the story of
the development of Finland's shipbuilding industry with a focus on
the technologically sophisticated vessels built tehre since the
Second World War. The Finnish shipyards' development of unique
expertise in building icebreakers and large ferries and cruise
ships is explained and their releationship with the Soviet Union is
investegated.
Anlasslich des 65. Geburtstages von Hans Paul Kunzi haben sich
Weggefahrten, Mitarbeiter und Schuler aus den Jahren seines Wirkens
als Hochschullehrer zusammengetan, um wenigstens punktuell aufzu
zeigen, wie und wohin in den letzten zwei Jahrzehnten verschiedene
theoretische und empirische Entwicklungen verlaufen sind, die der
Jubilar zumindest in der Schweiz und zu einem guten Teil auch
daruber hinaus mitaufgebaut und in den Anfangen beeinflusst hat. Zu
diesem Vorhaben fanden die Herausgeber vielseitige Unterstutzung.
Zunachst von den beteiligten Autoren, die mit spontanen Zusagen und
in vorbildlicher Weise ihre Beitrage termingerecht fertiggestellt
haben. Daruber hinaus hat ein groesserer Kreis von
Persoenlichkeiten mit Rat und Tat die Entstehung der Schrift
gefoerdert, wobei besonders auch auf ein grosses Entgegenkommen des
Springer-Verlages zu verweisen ist. Allen moechten wir fur die
Hilfe aufrichtig danken. Angesichts der Tatsache, dass Hans Paul
Kunzi bereits vor fast zwei Jahrzehnten seine wissenschaftliche
Laufbahn zugunsten einer anderen Verpflichtung aufgegeben hat,
liegt die Frage nahe, warum wir -nach wie vor der akademischen Welt
verbunden -heute noch von der Persoenlichkeit Kunzi beeindruckt
sind. Dazu sei kurz auf sein damaliges Wirken als Professor an der
Universitat Zurich und an der ETH Zurich zuruckgeblendet.
This proceedings volume contains 6 invited state of the art
lectures and 50 contributed papers presented at OR 98 held at the
Swiss Federal Institute of Technology (ETH) Zurich, 31 August - 3
September 1998. This 4-annual international conference was jointly
organized by the Swiss, German and Austrian OR-societies and
co-sponsored by SIGOPT. The conference had 450 particpants from 36
countries around the world. The proceedings of this conference are
subdivided according to the eleven sections of the conference,
namely - Continuous Mathematical Optimization (8 papers), -
Discrete Mathematical Optimization (12 papers), - Stochastic
Modelling, Optimization & Simulation (4 papers), - Econometrics
& Statistics (3 papers), - Mathematical Economics, Game Theory
& Decision Theory (3 papers), - Banking & Finance (2
papers), - Operations & Production Management (3 papers), -
Energy & Ecology (1 paper), - Telecommunication (4 papers), -
Logistics & Transportation (10 papers), - Fuzzy Systems &
Neural Networks (3 papers), - GOR Diploma Prize (1 paper).
In der Regel enthalten wirtschaftswissenschaftliche Studiengange
gegenwartig im Grundstudium, also in den ersten drei oder vier
Semestern, eine Einfiihrung in die Mathematik, die zumindest Teile
der reellen Analysis und der linearen Algebra urnfasst. Genauso wie
meine in dieser Reihe erschienene, Analysis fur OEkonomen",
nachfolgend mit [1] zitiert, beruht auch dieser Band auf einer
langjahrigen Erfahrung im Unterricht und gibt im wesentlichen - mit
Ausnahme von Kapitel 4 - den Stoff wieder, der je- weils in
vierstundigen Vorlesungen im Sommersemester behandelt wurde. Auf
die uber die sog . . . Mathematik fiir OEkonomen" nach wie vor
bestehenden Auffas- sungsunterschiede bezuglich Stoff auswahl und
vor allem Darstellungsweise habe ich in [1] bereits hingewiesen und
meine Ansicht daruber deutlich gemacht, so dass ich mich hier nicht
wiederholen muss. Vielmehr liegt mir daran klarzustellen, dass die
mathema- tische Grundausstattung, die sich der Leser mit dem
Studium dieser beiden Bande er- werben kann, nicht sicherstellt,
dass er sich mit j e dem Teilbereich der Wirtschafts-
wissenschaften - sei es nur rezeptiv oder gar aktiv - ohne weiteres
zu befassen in der Lage ist. Teile der theoretischen
Volkswirtschaftslehre ebenso wie neuere Entwicklun- gen der
OEkonometrie und des Operations Research (Management Science,
Decision Science) sind ohne weitergehende mathematische Kenntnisse,
z. B. uber Differential- gleichungen, Funktionanalysis, Masstheorie
u. a., nicht mehr zu verstehen. Damit stellt sich die schwierige
Aufgabe, Studiengange so flexibel zu gestalten, dass der Zugang zu
solchen Forschungsbereichen wahrend des Studiums nicht
grundsatzlich per Reglement verunmoeglicht wird.
In den letzten zwei Jahrzehnten sind Einflihrungen in die
Mathematik zum selbstver- stiindlichen Bestandteil der
wirtschaftswissenschaftlichen Propadeutik geworden. Der Grund
hierfiir liegt nicht in erster Linie in einer naturgegebenen Uebe
der Okonomie- studenten zur Mathematik, sondem in der Entwicklung
der Denk-und Arbeitsweise in weiten Teilen der
Wirtschaftswissenschaften wahrend der letzten drei bis vier Jahr-
zehnte. Da es oft unmogllch erscheint, rea1e wirtschaftliche
Situationen und Vorgiinge in ihrer ganzen Komplexitat und mit all
ihren Interdependenzen zu erfasssen und zu beurteilen, bildet man
sie in - notwendigerweise idealisierte - mathematische Modelle ab,
analysiert diese mit mathematischen Methoden und gewinnt aus der
Interpretation der mathematischen Ergebnisse Antworten auf die
interessierenden wirtschaftlichen Fragen. Ohne die spezifischen
Probleme der Modellierung hier zu erortem, diirfte eines klar sein:
Wennjemand so arbeiten oder so entstandene Ergebnisse wissenschaft-
lich vertretbar beurteilen will, dann m er nicht nur liber das
unabdingbare fach- speziflsche - hier also das entsprechende
wirtschaftswissenschaftliche - Wissen ver- rugen, sondem auch mit
den als Hilfsmittel benotigten mathematischen Methoden und
Denkweisen hinreichend vertraut sein. Wahrend also weitgehend
Einigkeit darUber besteht, die wirtschaftswissenscha- liche
Propadeutik auch Teile der Mathematik umfaSt, gehen die
Auffassungen liber Urnfang, Stoffauswahl und Art der Darstellung
teilweise erheblich auseinander, wie man ohne weiteres bei der
Lektiire der zahlreichen diesbezUgllchen LehrbUcher und in
Diskussionen mit Dozenten feststellt.
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