Title :
Approximate throughput computation of stochastic marked graphs
Author :
Campos, Javier ; Colom, JoséManuel ; Jungnitz, Hauke ; Silva, Manuel
Author_Institution :
Dept. de Ingenieria Electr. e Inf., Zaragoza Univ., Spain
fDate :
7/1/1994 12:00:00 AM
Abstract :
A general iterative technique for approximate throughput computation of stochastic strongly connected marked graphs is presented. It generalizes a previous technique based on net decomposition through a single input-single output cut, allowing the split of the model through any cut. The approach has two basic foundations. First, a deep understanding of the qualitative behavior of marked graphs leads to a general decomposition technique. Second, after the decomposition phase, an iterative response time approximation method is applied for the computation of the throughput. Experimental results on several examples generally have an error of less than 3%. The state space is usually reduced by more than one order of magnitude; therefore, the analysis of otherwise intractable systems is possible
Keywords :
Petri nets; performance evaluation; stochastic processes; approximate throughput computation; error; general decomposition technique; intractable systems; iterative response time approximation method; iterative technique; net decomposition; qualitative behavior; single input-single output cut; state space; stochastic Petri net models; stochastic marked graphs; stochastic strongly connected marked graphs; Approximation methods; Computational modeling; Delay; Iterative methods; Performance analysis; Proposals; Queueing analysis; State-space methods; Stochastic processes; Throughput;
Journal_Title :
Software Engineering, IEEE Transactions on