caa a22 4500 465774601 CHVBK 20180323111938.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02248590 doi (NATIONALLICENCE)springer-10.1007/BF02248590 Dynamic analysis of repetitive decision-free discreteevent processes: The algebra of timed marked graphs and algorithmic issues [Elektronische Daten] [Didier Dubois, Kathryn Stecke] A model to analyze certain classes of discrete event dynamic systems is presented. Previous research on timed marked graphs is reviewed and extended. This model is useful to analyze asynchronous and repetitive production processes. In particular, applications to certain classes of flexible manufacturing systems are provided in a companion paper. Here, an algebraic representation of timed marked graphs in terms of reccurrence equations is provided. These equations are linear in a nonconventional algebra, that is described. Also, an algorithm to properly characterize the periodic behavior of repetitive production processes is descrbed. This model extends the concepts from PERT/CPM analysis to repetitive production processes. J.C. Baltzer AG, Scientific Publishing Company, 1990 Dubois Didier Institut de Recherche en Informatique de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, F-31062, Toulouse Cedex, France aut Stecke Kathryn Graduate School of Business Administration, The University of Michigan, 48109, Ann Arbor, Michigan, USA aut Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 26/1(1990-12-01), 150-193 0254-5330 26:1<150 1990 26 10479 https://doi.org/10.1007/BF02248590 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02248590 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dubois Didier Institut de Recherche en Informatique de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, F-31062, Toulouse Cedex, France aut NATIONALLICENCE 700 1- Stecke Kathryn Graduate School of Business Administration, The University of Michigan, 48109, Ann Arbor, Michigan, USA aut NATIONALLICENCE 773 0- Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 26/1(1990-12-01), 150-193 0254-5330 26:1<150 1990 26 10479 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer