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Titlebook: Quantitative Methods in Parallel Systems; François Baccelli,Alain Jean-Marie,Isi Mitrani Book 1995 ECSC-EC-EAEC, Brussels-Luxembourg 1995

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Operational Analysis of Timed Petri Nets and Application to the Computation of Performance Boundscs. New operational inequalities are derived that are typical of the presence of synchronization and that were therefore not considered in queueing network models. We show an interesting application of the operational laws to the statement and the efficient solution of problems related to the estima
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Approximate Throughput Computation of Stochastic Marked Graphsvious 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 behaviour of marked graphs leads to a general decomposition technique. Second,
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Majorization and Stochastic Comparison Techniques for Scheduling of Parallel Systemstion in this chapter is the scheduling of parallel computations which are modeled by task graphs in multiprocessor systems. The particularity of this study is that task running times are assumed to be random variables, instead of known constants as in the literature of deterministic scheduling. Our
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Dependability of Distributed Programs: Algorithms and Performances, and by the precedence relation between the tasks. The latter can be represented by a probabilistic ordering, or can be provided with a specific known ordering for a given application. When failures occur in the processing system, we consider a recovery mechanism based on failure detection, and su
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Tipp and the Spectral Expansion Methodiption of the state space. The mapping from the SPA to the SE formalisms can be automated and the technicalities of the solution can be hidden from the user. This approach is illustrated on a small but non-trivial example.
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Operational Analysis of Timed Petri Nets and Application to the Computation of Performance Bounds that were derived in the last few years for several different subclasses of timed Petri nets. In particular the extension to Well-Formed Coloured nets appears straightforward and allows an efficient exploitation of models symmetries.
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