Optimal Control Theory: Applications to Management Science and Economics
Autor Suresh P. Sethi, Gerald L. Thompsonen Limba Engleză Hardback – 30 iul 2000
Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.
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Specificații
ISBN-13: 9780792386087
ISBN-10: 0792386086
Pagini: 528
Ilustrații: 1
Dimensiuni: 156 x 234 x 34 mm
Greutate: 0.94 kg
Ediția:2nd ed. 2000
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 0792386086
Pagini: 528
Ilustrații: 1
Dimensiuni: 156 x 234 x 34 mm
Greutate: 0.94 kg
Ediția:2nd ed. 2000
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
Professional/practitionerDescriere
Sethi
and
Thompson
have
provided
management
science
and
economics
communities
with
a
thoroughly
revised
edition
of
their
classic
text
onOptimal
Control
Theory.
Central
to
the
book
is
its
extraordinarily
wide
range
of
optimal
control
theory
applications.
Chapter
5
covers
finance;
Chapter
6
considers
production
and
inventory
problems;
Chapter
7
covers
marketing
problems;
Chapter
9
treats
machine
maintenance
and
replacement;
Chapter
10
deals
with
problems
of
optimal
consumption
of
natural
resources
(renewable
or
exhaustible);
and
Chapter
11
discusses
a
number
of
applications
of
control
theory
to
economics.
The
book
has
been
successfully
used
as
a
professional
reference
tool
and
as
a
graduate
course
book.
Its
usefulness
lies
in
its
emphasis
on
building
applied
models
of
realistic
problems
faced
in
a
variety
of
business
management
situations.
The new edition has been completely refined with careful attention to the text and graphic material presentation. In Chapter 3, models have been added that use mixed (control and state) constraints, current value formulations, and terminal conditions. Chapter 4 now covers more advanced material on pure state constraints as they relate to mixed constraints. Each of these chapters contains new results that were not available when the first edition was published.
Another important change is the expansion of the material on stochastic optimal control theory, which has become the new Chapter 13. This new chapter provides a brief introduction to stochastic optimal control problems, and it contains formulations of simple stochastic models in production, marketing and finance, and their solutions.
Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction.
The new edition has been completely refined with careful attention to the text and graphic material presentation. In Chapter 3, models have been added that use mixed (control and state) constraints, current value formulations, and terminal conditions. Chapter 4 now covers more advanced material on pure state constraints as they relate to mixed constraints. Each of these chapters contains new results that were not available when the first edition was published.
Another important change is the expansion of the material on stochastic optimal control theory, which has become the new Chapter 13. This new chapter provides a brief introduction to stochastic optimal control problems, and it contains formulations of simple stochastic models in production, marketing and finance, and their solutions.
Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction.
Cuprins
Preface
to
First
Edition.-
Preface
to
Second
Edition.-
What
is
Optimal
Control
Theory?.-
The
Maximum
Principle:
Continuous
Time.-
The
Maximum
Principle:
Mixed
Inequality
Constraints.-
The
Maximum
Principle:
General
Inequality
Constraints.-
Applications
to
Finance.-
Applications
to
Production
and
Inventory.-
Applications
to
Marketing.-
The
Maximum
Principle:
Discrete
Time.-
Maintenance
and
Replacement.-
Applications
to
Natural
Resources.-
Economic
Applications.-
Differential
Games,
Distributed
Systems,
and
Impulse
Control.-
Stochastic
Optimal
Control.-
Solutions
of
Linear
Differential
Equations.-
Calculus
of
Variations
and
Optimal
Control
Theory.-
An
Alternative
Derivation
of
the
Maximum
Principle.-
Special
Topics
in
Optimal
Control.-
Answers
to
Selected
Exercises.-
Bibliography.-
Index.-
List
of
Figures.-
List
of
Tables.
Recenzii
`Like
the
first
edition,
Sethi
and
Thompson's
revised
textbook
advances
the
state
of
the
art
of
operations
research
and
management
science
on
multiple
dimensions.
The
authors
provide
a
rigorous
treatment
of
a
powerful
methodology.
They
demonstrate
the
deep
managerial
insights
to
be
obtained
in
a
variety
of
management
and
economics
domains.
The
book
facilitates
learning
in
the
classroom
and
encourages
readers'
creativity.
The
clarity
in
exposition
makes
the
book
accessible
to
diverse
readers,
including
mathematicians
interested
in
learning
about
applications
and
researchers
in
various
application
domains
interested
in
developing
new
managerial
results.
This is a very good textbook for subjects on optimal controls with management science applications. I have adopted this as a textbook and the students love it. Illustrative figures and diagrams are sufficiently provided, and materials are carefully explained. The use of the commonly available Excel program to solve TPBVPs at the end of chapter 2 is suitable for the ever increasing demand of "multimedia teaching". I have not seen any other optimal control textbook include such a set of Excel instructions in such a simple and elegant way. Moreover, the authors made a set of chapter-by-chapter Power Point files available on the web to supplement the textbook for classroom teaching. I'd give 5 stars to this book anytime.'
Joseph Lee, Hong Kong Polytechnic University
This is a very good textbook for subjects on optimal controls with management science applications. I have adopted this as a textbook and the students love it. Illustrative figures and diagrams are sufficiently provided, and materials are carefully explained. The use of the commonly available Excel program to solve TPBVPs at the end of chapter 2 is suitable for the ever increasing demand of "multimedia teaching". I have not seen any other optimal control textbook include such a set of Excel instructions in such a simple and elegant way. Moreover, the authors made a set of chapter-by-chapter Power Point files available on the web to supplement the textbook for classroom teaching. I'd give 5 stars to this book anytime.'
Joseph Lee, Hong Kong Polytechnic University
Caracteristici
The
new
edition
has
been
completely
refined
with
careful
attention
to
the
text
and
graphic
material
presentation
Includes new findings since the first edition, and expands coverage of stochastic optimal control theory
Covers topics including finance; production and inventory problems; marketing problems; machine maintenance and replacement and applications of control theory to economics
The book has been successfully used as a professional reference tool and as a graduate course book
Includes new findings since the first edition, and expands coverage of stochastic optimal control theory
Covers topics including finance; production and inventory problems; marketing problems; machine maintenance and replacement and applications of control theory to economics
The book has been successfully used as a professional reference tool and as a graduate course book