New PDF release: Analyse Complexe

By Eric Amar, R. Gay, T. V. Nguyen

ISBN-10: 3540138862

ISBN-13: 9783540138860

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3 Fig. 28. i) is duplicated the number of times of the objects that provide the method (number of objects of class Ci). z that provides the method. i has an enabling function In = w. z that carries the identity of the object that must perform the method. 3 – L1. The net of this object is presented in Fig. 29. 1 Fig. 29. i associated with a method provided by the object is duplicated the number of times of the transitions of other objects that call the method. z that calls the method. Methods that are not called by any object in the system are eliminated from the object sub-net.

For this purpose, the differential predicate transition net is more suitable than the mixed Petri net, as it does not have global variables and the Petri net place capacity is not constrained to one token. In the next section, a brief introduction to Petri nets is presented. It is then followed by the description of predicate transition nets and differential predicate transition nets. 2 Introduction to the Petri Net The Petri net (Murata, 1989) is a modelling formalism proposed by Carl Adam Petri in 1962 for modelling distributed systems.

I obeys the following restriction about the variables Xpk_i associated with each place pk of the class Ci. i, then Xpa_i ˆ Xpb_i = ‡. i for the objects of the mixing system are illustrated in Fig. 13. All the sub-markings fulfil Definition 4. 2 = {1, 1, 0}. This marking does not comply with Definition 4 because Xp1_2 ˆ Xp2_1 = {Vol}. 3 t1_3 {1,0,0,0,0,0,0,0,0} {0,1,1,0,0,0,0,0,0} t3_3 t4_3 {0,0,1,0,0,1,0,0,0} t2_3 t3_3 {0,0,1,1,0,0,0,0,0} t4_3 t3_3 t2_3 t5_3 {0,0,0,0,0,1,1,0,0} t5_3 {0,1,0,0,1,0,0,0,0} {0,0,0,1,0,0,1,0,0} t5_3 {0,0,0,0,0,0,0,1,0} {0,0,0,0,1,1,0,0,0} {0,0,0,1,1,0,0,0,0} t7_3 {0,1,0,0,0,0,1,0,0} {0,0,0,0,0,0,0,0,1} t4_3 t6_3 t2_3 t9_3 Fig.

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Analyse Complexe by Eric Amar, R. Gay, T. V. Nguyen

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