Download PDF by D'Apice C.: A MAPk/Gk/1 Queueing System with Generalized

By D'Apice C.

A queueing method with Markov arrival approach, numerous shopper varieties, generalized foreground-background processor sharing self-discipline with minimum served size, and an in♀nite bu♂er for all sorts of shoppers is studied. The joint desk bound distribution of the variety of shoppers of all kinds and the desk bound distribution of time of sojourn of consumers of each variety are decided by way of producing services and Laplace{Stieltjes transforms.

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Id ⊕ i! and, since (M M, −σ ⊕ σ ) ∼ 0, through a cobordism (M × I, ω), we have also that (M W, −σ ⊕ i! (σ )) ∼ 0, that is, (M, σ ) ∼ (W, i! (σ )). From the cobordism invariance of the index, we conclude that ind(σ ) = ind(i! (σ )). Acknowledgements This work is part of a D. Phil thesis, defended at the University of Oxford in 2003. I would like to thank my supervisors Prof Ulrike Tillmann and Prof Victor Nistor, from the Pennsylvania State University, for their encouragement and support, and my thesis examiners for useful comments.

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A MAPk/Gk/1 Queueing System with Generalized Foreground-Background Processor Sharing Discipline by D'Apice C.


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