rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Max-Plus Linear Stochastic Systems and Perturbation Analysis
  name:
    name part: Heidergott, Bernd.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 320 p. online resource.
  abstract: 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.
  table of contents: Max-Plus Algebra -- Max-Plus Linear Stochastic Systems -- Ergodic Theory -- Perturbation Analysis -- A Max-Plus Differential Calculus -- Higher-Order D-Derivatives -- Taylor Series Expansions.
  note: edited by Bernd Heidergott.
  subject:
    topic: Computer science
  subject:
    topic: Computers
  subject:
    topic: Mathematical statistics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Computer Science
  subject:
    topic: Theory of Computation
  subject:
    topic: Probability and Statistics in Computer Science
  subject:
    topic: Math Applications in Computer Science
  subject:
    topic: Symbolic and Algebraic Manipulation
  classification: QA75.5-76.95
  classification: 004.0151
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: The International Series on Discrete Event Dynamic Systems, 16
  identifier: 9780387389950
  identifier: http://dx.doi.org/10.1007/978-0-387-38995-0
  record info:
    record creation date: 100301
    record change date: 20151204142009.0
    record identifier: 978-0-387-38995-0