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25 Remote Warehouse Mathematics- Introduction

Other titles in the Springerbriefs in Mathematics series:

Analyzing Markov Chains Using Kronecker Products: Theory and Applications (Springerbriefs in Mathematics)

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Analyzing Markov Chains Using Kronecker Products: Theory and Applications (Springerbriefs in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively.

Synopsis:

None

Table of Contents

Introduction.- Background.- Kronecker representation.- Preprocessing.- Block iterative methods for Kronecker products.- Preconditioned projection methods.- Multilevel methods.- Decompositional methods.- Matrix analytic methods.

Product Details

ISBN:
9781461441892
Author:
Dayar, Tugrul
Publisher:
Springer
Subject:
Statistics
Subject:
Kronecker products.
Subject:
Markov Chains
Subject:
Preprocessing
Subject:
Stochastic processes
Subject:
Iterative methods.
Subject:
Matrix analytic methods
Subject:
Probability Theory and Stochastic Processes
Subject:
Numerical analysis
Subject:
Probability and Statistics in Computer Science
Subject:
Mathematics-Introduction
Copyright:
Edition Description:
2012
Series:
SpringerBriefs in Mathematics
Publication Date:
20120801
Binding:
TRADE PAPER
Language:
English
Pages:
95
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Electricity » General Electronics
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Introduction
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Software

Analyzing Markov Chains Using Kronecker Products: Theory and Applications (Springerbriefs in Mathematics) New Trade Paper
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