International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Efficient Computations for Evaluating Extended Stochastic Petri Nets using Algebraic Operations

  • Kim, Dong-Sung (School of Electrical and Computer Engineering, Cornell University) ;
  • Moon, Hong-Ju (Piolink Inc.) ;
  • Bahk, Je-Hyeong (Photonics Research Center, Korea Institute of Science and Technology) ;
  • Kwon, Wook-Hyun (School of Electrical Engineering & Computer Science, Seoul National University) ;
  • Zygmunt J. Haas (School of Electrical and Computer Engineering, Cornell University)
  • Published : 2003.12.01
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Abstract

This paper presents an efficient method to evaluate the performance of an extended stochastic Petri net by simple algebraic operations. The reachability graph is derived from an extended stochastic Petri net, and then converted to a timed stochastic state machine, using a semi-Markov process. The n-th moments of the performance index are derived by algebraic manipulations with each of the n-th moments of transition time and transition probability. For the derivation, three reduction rules are introduced on the transition trajectories in a well-formed regular expression. Efficient computation algorithms are provided to automate the suggested method. The presented method provides a proficient means to derive both the numerical and the symbolic solutions for the performance of an extended stochastic Petri net by simple algebraic manipulations.

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