Markov Interactive Processes: a Generalization of Markov Modulated Processes to State-dependent Multiple Component Interacting Markov Processes - Akram El Tannir - Boeken - LAP LAMBERT Academic Publishing - 9783659177774 - 25 juli 2012
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Markov Interactive Processes: a Generalization of Markov Modulated Processes to State-dependent Multiple Component Interacting Markov Processes

Akram El Tannir

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Markov Interactive Processes: a Generalization of Markov Modulated Processes to State-dependent Multiple Component Interacting Markov Processes

A new family of Markov Processes called "Markov Interactive Processes" (MIP) is introduced, where several jump components occur in one component at a time with transition rates for each to depend on current states of remaining components. A product-form transient and stationary distributions were obtained under given conditions. Several standard models including Jackson Networks and Markov Modulated Processes become special cases. Approximations for these processes are also provided. New queuing models have been identified to fit the structure of MIP's, and a new family of Markov Processes whose state spaces are partitioned into subspaces where one is "central" and the others where states cannot jump into other subspaces except through the central subspace states.

Media Boeken     Paperback Book   (Boek met zachte kaft en gelijmde rug)
Vrijgegeven 25 juli 2012
ISBN13 9783659177774
Uitgevers LAP LAMBERT Academic Publishing
Pagina's 80
Afmetingen 150 × 5 × 226 mm   ·   137 g
Taal en grammatica Duits