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Handbook of Weighted Automata by Heiko Vogler, Werner Kuich, Manfred Droste (Paperback, 2012)

About this product

About this product

Product Information

The purpose of this Handbook is to highlight both theory and applications of weighted automata. Weighted finite automata are classical nondeterministic finite automata in which the transitions carry weights. These weights may model, e. g. , the cost involved when executing a transition, the amount of resources or time needed for this,or the probability or reliability of its successful execution. The behavior of weighted finite automata can then be considered as the function (suitably defined) associating with each word the weight of its execution. Clearly, weights can also be added to classical automata with infinite state sets like pushdown automata; this extension constitutes the general concept of weighted automata. To illustrate the diversity of weighted automata, let us consider the following scenarios. Assume that a quantitative system is modeled by a classical automaton in which the transitions carry as weights the amount of resources needed for their execution. Then the amount of resources needed for a path in this weighted automaton is obtained simply as the sum of the weights of its transitions. Given a word, we might be interested in the minimal amount of resources needed for its execution, i. e. , for the successful paths realizing the given word. In this example, we could also replace the resources by profit and then be interested in the maximal profit realized, correspondingly, by a given word.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642260490
eBay Product ID (ePID)
128785339

Product Key Features

Author
Heiko Vogler, Werner Kuich, Manfred Droste
Publication Name
Handbook of Weighted Automata
Format
Paperback
Language
English
Subject
Computer Science, Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
608 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
949g

Additional Product Features

Series Title
Monographs in Theoretical Computer Science. an Eatcs Series
Editor
Heiko Vogler, Manfred Droste, Werner Kuich
Country/Region of Manufacture
Germany

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