Springerbriefs in Mathematics

Theory and Applications

By: Tugrul Dayar

Write A Review

Paperback | 24 July 2012

At a Glance

Paperback
98 Pages

Dimensions(cm)
22.86 x 15.24 x 0.64

Paperback

$84.99

or 4 interest-free payments of $21.25 with

or

Ships in 5 to 7 business days

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.

Industry Reviews

From the reviews:

"Dayar's book on Kronecker products for Markov processes addresses an important topic which, up to now, has not been thoroughly discussed as a single entity in the literature. ... The book has numerous examples throughout to illustrate the results and methods which the author presents. ... the book is a valuable tool for learning to apply Kronecker representation to continuous time Markov chains." (Myron Hlynka, Mathematical Reviews, May, 2013)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.