English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider stochastic discrete event dynamic systems that have timeevolution represented with two-dimensional state vectors through a vectorequation that is linear in terms of an idempotent semiring. The statetransitions are governed by second-order random matrices that are assumed to beindependent and identically distributed. The problem of interest is to evaluatethe mean growth rate of state vector, which is also referred to as the meancycle time of the system, under various assumptions on the matrix entries. Wegive an overview of early results including a solution for systems determinedby matrices with independent entries having a common exponential distribution.It is shown how to extend the result to the cases when the entries havedifferent exponential distributions and when some of the entries are replacedby zero. Finally, the mean cycle time is calculated for systems with matricesthat have one random entry, whereas the other entries in the matrices can bearbitrary nonnegative and zero constants. The random entry is always assumed tohave exponential distribution except for one case of a matrix with zero rowwhen the particular form of the matrix makes it possible to obtain a solutionthat does not rely on exponential distribution assumptions.

Evaluation of the mean cycle time in stochastic discrete event dynamic systems