Title :
Exact parametric analysis of stochastic Petri nets
Author :
Li, Man ; Georganas, Nicolas D.
Author_Institution :
Dept. of Electr. Eng., Ottawa Univ., Ont., Canada
fDate :
9/1/1992 12:00:00 AM
Abstract :
An algorithm for exact parametric analysis of stochastic Petri nets is presented. The algorithm is derived from the theory of decomposition and aggregation of Markov chains. The transition rate of interest is confined into a diagonal submatrix of the associated Markov chain by row and column permutations. Every time a new value is assigned to the transition, a smaller Markov chain is analyzed. As a result, the computational cost is greatly reduced
Keywords :
Markov processes; Petri nets; matrix algebra; Markov chains; aggregation; column permutations; decomposition; diagonal submatrix; exact parametric analysis; row permutations; stochastic Petri nets; transition rate of interest; Algorithm design and analysis; Communication systems; Computational efficiency; Concurrent computing; Manufacturing systems; Performance analysis; Petri nets; Protocols; Stochastic processes; Stochastic systems;
Journal_Title :
Computers, IEEE Transactions on
