Characterization of Nonnegative Integer and Minimal Solutions by Nonnegative Rational and Elementary Ones for State Equation of a Petri Net -the Set of Instances-

Maki TAKATA; Akira MORAYA; Seiichiro MORO and Tadashi MATSUMOTO

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Characterization of Nonnegative Integer and Minimal Solutions by Nonnegative Rational and Elementary Ones for State Equation of a Petri Net -the Set of Instances-

机译：Petri网状态方程的非负有理数和最小解的非负有理数和最小解的刻划（实例集）

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摘要

In Refs. [6-8], for state equation of P/T Petri nets, structural properties and rank conditions of integer particular solutions at level 4 (level 5, resp.) have been given from generators of both homogeneous and inhomogeneous rational solutions at level 3. In this paper, the set of instances for particular solutions at level 4 and 5 is shown.

机译：在参考文献中。 [6-8]，对于P / T Petri网的状态方程，已经从级别3的齐次和非齐次有理解的生成器给出了级别4（分别为级别5）的整数特定解的结构性质和秩条件。在本文中，显示了第4级和第5级特定解决方案的实例集。

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《電子情報通信学会技術研究報告. コンカレント工学. Concurrent System Technology》 |2003年第247期|共6页
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Maki TAKATA; Akira MORAYA; Seiichiro MORO and Tadashi MATSUMOTO;
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正文语种 jpn
中图分类计算机软件;
关键词
Petri nets; State equations; Generators of particular solutions; Elementary vectors; Minimal vectors;

机译：Petri网;状态方程;特定解的生成器;基本向量;最小向量;

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1. Characterization of Nonnegative Integer and Minimal Solutions by Nonnegative Rational and Elementary Ones for State Equation of a Petri Net -the Set of Instances- [J] . Maki TAKATA, Akira MORAYA, Seiichiro MORO and Tadashi MATSUMOTO 電子情報通信学会技術研究報告. コンカレント工学. Concurrent System Technology . 2003,第247期

机译：Petri网状态方程的非负有理数和最小解的非负有理数和最小解的刻划（实例集）
2. An algorithm to derive all generators of nonnegative integer solutions from generators of nonnegative rational solutions of matrix equation for a P/T Petri net [J] . Maki Takata, Tadashi Matsumoto, Seiichiro Moro 電子情報通信学会技術研究報告. コンカレント工学. Concurrent System Technology . 2002,第589期

机译：一种算法从矩阵方程的非负ritional解的非负整数解决方案中的所有发电机，用于P / T Petri网的非负解
3. An algorithm to derive all generators of nonnegative integer solutions from generators of nonnegative rational solutions of matrix equation for a P/T Petri net [J] . Maki Takata, Tadashi Matsumoto, Seiichiro Moro 電子情報通信学会技術研究報告. コンカレント工学. Concurrent System Technology . 2002,第589期

机译：一种算法从矩阵方程的非负ritional解的非负整数解决方案中的所有发电机，用于P / T Petri网的非负解
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Characterization of Nonnegative Integer and Minimal Solutions by Nonnegative Rational and Elementary Ones for State Equation of a Petri Net -the Set of Instances-

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