Reflexive Incidence Matrx (RIM) Representation of Petr Nets

Although incidence matrix representation has been used to analyze the Petri net based models of a system, it has the limitation that it does not preserve reflexive properties (i.e., the presence of selfloops) of Petri nets. But in many practical applications self-loops play very important roles. This paper proposes a new representation scheme for general Petri nets. This scheme defines a matrix called "reflexive incidence matrix (RIM) c which is a combination of two matrices, a "base matrix Cb,,, and a "power matrix CP." This scheme preserves the reflexive and other properties of the Petri nets. Through a detailed analysis it is shown that the proposed scheme requires less memory space and less processing time for answering commonly encountered net queries compared to other schemes. Algorithms to generate the RIM from the given net description and to decompose RIM into input and output function matrices are also given. The proposed Petri net representation scheme is very useful to model and analyze the systems having shared resources, chemical processes, network protocols, etc., and to evaluate the performance of asynchronous concurrent systems.

Carl Perron als Onegin, Rollenbild, Hüftbild, in: Petr. I. Cajkovskij: Evgenij Onegin - Notenzeile: Es schwanden Jahre, Träume, Liebe

Signatur des Originals: S 36/F05715

Carl Perron als Onegin, Rollenbild, Hüftbild, in: Petr. I. Cajkovskij: Evgenij Onegin - Notenzeile: Es schwanden Jahre, Träume, Liebe

Signatur des Originals: S 36/F05719

Friedrich Plaschke als Onegin, Rollenbild, Brustbild, in: Petr I. Cajkovskij: Evgenij Onegin

Signatur des Originals: S 36/F05775

Friedrich Plaschke als Onegin, Rollenbild, Hüftbild, in: Petr I. Cajkovskij: Evgenij Onegin

Signatur des Originals: S 36/F05777

Petr Grigorʹevich Kakhovskīĭ /

Mode of access: Internet.

T. Livii Patavini Historiarum ab urbe condita libri, qui supersunt, omnes : cum notis integris Laur. Vallae, M. Ant. Sabellici, Beati Rhenani, Sigism. Gelenii, Henr. Loriti Glareani, Car. Signonii, Fulvii Ursini, Franc. Sanctii, J. Fr. Gronovii, Tan. Fabri, Henr. Valesii, Jac. Perizonii, Jac. Gronovii; excerptis Petr. Nannii Justi Lipsii, Fr. Modii, Jani Gruteri; nec non ineditis Jani Gebhardi, Car. And. Dureri, et aliorum, /

Includes bibliographical footnotes and indexes (v. 15, pt. 2)

And. Schotti S.I. Obseruationum humanacum Lib. V : quibus graeci, latiniq scriptores, philologi, poctae, historici, oratores et philosophi emendantur, supplentur et illustrantur / ejusdem Nodi Ciceron variorumque lib. IV ; item Caroli LangI in Ciceron annotat. ; ejusdemqz Carmina lectiora ; seorsim vero edita Procli chrestomathia poetica, cum scholiis And. Schotti et Petr. Ioan. Nunnessii.

2a port.: "Procli chrestomathia poetica / interprete & scholiaste Andrea Schotto Antuerp. ; accessere & notae Pet. Ioan. Nunnesii Valentini ; item Fragmentum scriptoris incerti anteà Censorino fributum et cum eius De die natali libro continenter impressum.- Nunc correctius & aliquot, capitibus ex veteri libro additis auctius editum / a Lud. Carrione Brugensi, cum notis eiusdem Nunnessii.- Hanouiae: typis Wechelianis: apud haeredes Iohannis Aubrii"

Den gelukstaat den roem en de bewaaring van een geloovig Christen : voorgesteld in drie leerredenen uit Col III: 3,4, Gal. VI : 14, en I Petr. I: 5 /

Mode of access: Internet.

Petr Velikiĭ : ego zhizn i gosudarstvennai͡a︡ di͡e︡i͡a︡telʹnostʹ /

Bibliography: p. [4]

Kīevskīĭ mitropolit Petr Mogila i ego spodvizhniki (opyt istoricheskago izsli͡e︡dovanīi͡a︡).

"Kratkīĭ katikhizis, izdannyĭ v Kīevopecherskoĭ lavri͡e︡ v 1645 godu": v. 2, p. 358-487 at end.

Petr Velikiĭ v russkoĭ literaruri︠e︡ : opyt istoriko-bibliograficheskago obzora /

Mode of access: Internet.