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Business dynamics models : optimization-based one step ahead optimal control / Eugenius Kaszkurewicz and Amit Bhaya.

SIAM Society for Industrial and Applied Mathematics Books Available online

SIAM Society for Industrial and Applied Mathematics Books
Format:
Book
Author/Creator:
Kaszkurewicz, Eugenius, author.
Bhaya, Amit, author.
Contributor:
Society for Industrial and Applied Mathematics, publisher.
Series:
Advances in design and control.
Advances in design and control
Language:
English
Subjects (All):
Business--Mathematical models.
Industrial management--Econometric models.
Physical Description:
1 online resource (xxii, 184 pages) : illustrations (some color).
Place of Publication:
Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2022]
System Details:
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Summary:
This book introduces optimal control methods, formulated as optimization problems, applied to business dynamics problems. Business dynamics refers to a combination of business management and financial objectives embedded in a dynamical system model. The model is subject to a control that optimizes a performance index and takes both management and financial aspects into account. Business Dynamics Models: Optimization-Based One Step Ahead Optimal Control includes solutions that provide a rationale for the use of optimal control and guidelines for further investigation into more complex models; formulations that can also be used in a so-called flight simulator mode to investigate different complex scenarios; and a modern programming environment (Jupyter notebooks in JuMP/Julia) for modeling, simulation, and optimization. Julia code and notebooks are provided on a website for readers to experiment with their own examples.
Contents:
An overview of some models in business dynamics
Omniscient and one step ahead optimal control
The debt amortization problem with wealth maximization
The cash balance problem
Dynamic trading
The inventory control and management problem
Market share dynamics under advertising in monopolies
Competitive duopolies: Market share dynamics under advertising
Conclusions.
Notes:
Includes bibliographical references (pages 163-173) and index.
Description based on title page of print version.
ISBN:
1-61197-731-2
Publisher Number:
DC40 SIAM

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