The International Series on Discrete Event Dynamic Systems

Max-Plus Linear Stochastic Systems and Perturbation Analysis

Authors: Heidergott, Bernd F.

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eBook $149.00
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  • ISBN 978-0-387-38995-0
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Hardcover $189.00
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  • ISBN 978-0-387-35206-0
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Softcover $189.00
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  • ISBN 978-1-4419-4198-5
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About this book

During the last decade, the area of stochastic max-plus linear systems has witnessed a rapid development, which created a growing interest in this area. This book provides a thorough treatment of the theory of stochastic max-plus linear systems. Max-plus algebra is an algebraic approach to discrete event systems (DES), like queuing networks that are prone to synchronization. Perturbation analysis studies the sensitivity of the performance of DES with respect to changes in a particular system parameter.

The first part of the book addresses modeling issues and stability theory for stochastic max-plus systems. The second part of the book treats perturbation analysis of max-plus systems: a calculus for differentiation of max-plus systems is developed. This calculus leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

This book will be of interest to researchers and professionals in the area of applied probability who are interested in numerical evaluation of stochastic max-plus linear discrete event systems.

Reviews

From the reviews:

"This book looks at applications of the max-plus algebra in two areas of applied probability, linear stochastic systems and perturbation analysis … . In all … this book is, without a doubt, an important contribution to the literature. … it will be widely read by people working in the field." (Jonathan Golan, ACM Computing Reviews, Vol. 49 (2), February, 2008)


Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-387-38995-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
valid through November 5, 2017
  • ISBN 978-0-387-35206-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4419-4198-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Max-Plus Linear Stochastic Systems and Perturbation Analysis
Authors
Series Title
The International Series on Discrete Event Dynamic Systems
Series Volume
15
Copyright
2007
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-38995-0
DOI
10.1007/978-0-387-38995-0
Hardcover ISBN
978-0-387-35206-0
Softcover ISBN
978-1-4419-4198-5
Series ISSN
1388-4328
Edition Number
1
Number of Pages
XII, 320
Topics