Bibliographie
Safe states in Banker like resource allocation Problems
Dirk Hauschildt and Rüdiger Valk.
Safe states in banker like resource allocation problems.
In Advances in Petri Nets 1985, volume 222 of Lecture
Notes in Computer Science, pages 253-277. Springer-Verlag, Berlin,
Heidelberg, New York, 1986.
Kurzfassung: The paper deals with representations of the safe states set in the Banker's problem. Using a Petri Net model we derive formulas for this set (SAFE) directly and for its (smaller) minimal elements set MIN. Moreover, we partition the set MIN into subclasses, so that two elements of the same subclass only differ by the permutation of their components. The set SORT, which contains only one representend of each subclass, is an even smaller representation of the safe states. We also derive estimates for the size of SORT. Finally we investigate, how our results can be translated to the multidimensional Banker's Problem, where credits in more than one currency can be given.
BibTeX-Eintrag
@InCollection{Hauschildt+86,
author = {Hauschildt, Dirk and Valk, R{\"u}diger},
title = {Safe states in Banker like resource allocation Problems},
booktitle = {Advances in Petri Nets 1985},
volume = 222,
pages = {253--277},
year = 1986,
series = LNCS,
publisher = Springer,
address = Springer.addr,
ISSN = {0302-9743},
ISBN = {978-3-540-16480-7},
doi = {10.1007/BFb0016216},
abstract = {The paper deals with representations of the safe states
set in the Banker's problem. Using a Petri Net model we
derive formulas for this set (SAFE) directly and for its
(smaller) minimal elements set MIN. Moreover, we
partition the set MIN into subclasses, so that two
elements of the same subclass only differ by the
permutation of their components. The set SORT, which
contains only one representend of each subclass, is an
even smaller representation of the safe states. We also
derive estimates for the size of SORT. Finally we
investigate, how our results can be translated to the
multidimensional Banker's Problem, where credits in more
than one currency can be given.}
}
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