Timed Petri nets in modeling and analysis of simple schedules for manufacturing cells

Citation
Wm. Zuberek et W. Kubiak, Timed Petri nets in modeling and analysis of simple schedules for manufacturing cells, COMPUT MATH, 37(11-12), 1999, pp. 191-206
Citations number
16
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
37
Issue
11-12
Year of publication
1999
Pages
191 - 206
Database
ISI
SICI code
0898-1221(199906)37:11-12<191:TPNIMA>2.0.ZU;2-Z
Abstract
It is shown that a large class of flexible manufacturing cells can be model ed using timed Petri nets. Net models of simple schedules (i.e., schedules in which exactly one part enters and one leaves the cell during each cycle) are conflict-free nets. Two complementary approaches to analysis of such m odels are presented: invariant analysis and throughput analysis. Invariant analysis provides analytic (or symbolic) solutions for the cycle time of a cell analyzing (invariant) subnets of the original net. Throughput analysis performs a series of performance-preserving net reductions to simplify the original model. Several directions for further research are indicated. (C) 1999 Elsevier Science Ltd. All rights reserved.