Title
An algorithm to compute the minimal siphons in S4PR nets.
Abstract
Minimal siphons in the class of S 4 PR nets have become a conceptual and practical central tool for the study of the resource allocation related aspects in discrete event dynamic systems as, for example, the existence of deadlocks. Therefore the availability of efficient algorithms to compute the minimal siphons is essential. In this paper we try to take advantage of the particular properties of the siphons in S 4 PR to obtain an efficient algorithm. These properties allow us to express minimal siphons as the union of pruned minimal siphons containing only one resource. The pruning operation is built from the binary pruning relation defined on the set of minimal siphons containing only one resource. This pruning relation is represented by means of a directed graph. The computation of the minimal siphons is based on the maximal strongly connected components of this graph. The algorithm is highly economic in memory in all intermediate steps when compared to the classical algorithms.
Year
DOI
Venue
2010
10.1007/s10626-012-0132-4
Discrete Event Dynamic Systems
Keywords
DocType
Volume
classical algorithm,minimal siphon,s4pr net,dynamic system,resource allocation,pruning relation,binary pruning relation,pr net,discrete event,efficient algorithm,pruning operation
Conference
22
Issue
ISSN
Citations 
4
0924-6703
9
PageRank 
References 
Authors
0.53
17
3
Name
Order
Citations
PageRank
Elia Esther Cano1141.28
Carlos A. Rovetto2192.76
José-Manuel Colom3172.43