Ontology type: schema:ScholarlyArticle
2019-03
AUTHORSNurehemaiti Yiming, Geni Gupur
ABSTRACTBy using the Hille–Yosida theorem, Phillips theorem and Fattorini theorem we prove that the M/G/1 queueing model with vacations and multiple phases of operation, which is described by infinitely many partial differential equations with integral boundary conditions, has a unique positive time-dependent solution that satisfies the probability condition. Next, by studying the spectrum of the operator, which corresponds to the model, on the imaginary axis we prove that the time-dependent solution of the model strongly converges to its steady-state solution. More... »
PAGES1-44
http://scigraph.springernature.com/pub.10.1007/s11868-018-0256-x
DOIhttp://dx.doi.org/10.1007/s11868-018-0256-x
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