计算机科学 ›› 2014, Vol. 41 ›› Issue (7): 49-51.doi: 10.11896/j.issn.1002-137X.2014.07.009

• 2013'Petri 网 • 上一篇    下一篇

Petri网弱公平性和公平性关系的进一步研究

施洲琪,丁志军,陈闳中   

  1. 同济大学计算机科学与技术系 上海200092;同济大学计算机科学与技术系 上海200092;同济大学计算机科学与技术系 上海200092
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金(61173042),上海市“曙光计划”(10SG23),上海市青年科技启明星跟踪计划(12QH1402300), 铁道部科技研究开发计划(2012X014-E)资助

Further Study of Relationship between Weak Fairness and Fairness of Petri Nets

SHI Zhou-qi,DING Zhi-jun and CHEN Hong-zhong   

  • Online:2018-11-14 Published:2018-11-14

摘要: 在Petri网中,公平性概念的引入是为了讨论网系统中两个变迁发生之间的相互关系。这种关系可以很好地反映出模拟系统的各个事件在资源竞争中的有无饥饿性问题。文中基于弱公平性和公平性的定义与联系,证明了对于有界Petri网,满足弱公平性就满足公平性;同时证明了在两类无界Petri网中,可由弱公平性推导出公平性。并进一步证明其他类型的无界Petri网是不满足公平性的,即无法从弱公平性直接推导出公平性。

关键词: Petri网,弱公平性,公平性,有界性 中图法分类号TP301文献标识码A

Abstract: In Petri net,the introduction of the concept fairness is to discuss the relationship of two transitions happened in net system.This relationship can well reflect whether each part of the concurrent system in the competition for resource has starvation-free problem.According to the definition and the relation of the weak fairness and fairness,it was proved that fairness can be deduced by weak fairness for a bounded Petri net and for two classes unbounded Petri net.Fairness cannot be deduced by weak fairness for other unbounded Petri net.

Key words: Petri net,Weak fairness,Fairness,Boundedness

[1] 吴哲辉.Petri网导论[M].北京:机械工业出版社,2006
[2] 吴哲辉,王培良,赵茂先.无界公平Petri网的进程表达式[J].计算机学报,2000,3(4):337-344
[3] 王廷刚,吴哲辉.Petri网有界性和公平性关系的进一步研究[J].系统仿真学报,2009,0(增刊):13-15
[4] 宁华,蒋树强,吴哲辉.Petri网中的广义公平关系[J].计算机学报,2000,3(10):1102-1107
[5] 王培良,吴哲辉.公平网的一组直接判定条件[J].计算机学报,1993,6(1):53-58
[6] 王培良,吴哲辉.Petri网弱公平性的判定[J].计算机学报,1994,8(7):608-611
[7] 郭玉彬,杨桂珍.Petri网中的公平依赖体系研究[J].小型微型计算机系统,2003,4(7):1031-1035

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!