Title :
Aggregation and disaggregation in product form queueing Petri Nets
Author :
Bause, Falko ; Buchholz, Peter
Author_Institution :
Inf. IV, Dortmund Univ., Germany
Abstract :
Product from queueing Petri Nets (PQPNs) combine the results of product form for Stochastic Petri Nets with the well-known BCMP results in one modeling formalism and include them as special cases. In this paper we establish an exact aggregation approach, based on the product form, which extends Norton´s theorem for aggregation in multi-class product form Queueing Networks
Keywords :
Petri nets; queueing theory; stochastic processes; PQPNs; aggregation; disaggregation; multi-class product form; product form; queueing Petri Nets; Delay effects; Exponential distribution; Fires; Petri nets; Queueing analysis; Stochastic processes;
Conference_Titel :
Petri Nets and Performance Models, 1997., Proceedings of the Seventh International Workshop on
Conference_Location :
Saint Malo
Print_ISBN :
0-8186-7931-X
DOI :
10.1109/PNPM.1997.595533