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Ergodicity conditions and invariant probability measure for an embedded Markov chain in a controlled bulk queueing system with a bilevel service delay discipline part I

โœ Scribed by Lev Abolnikov; Jewengi H. Dshalalow

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
263 KB
Volume
5
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES

Ergodicity conditions and invariant prob
Ergodicity conditions and invariant probability measure for an embedded Markov chain in a controlled bulk queueing system with a bilevel service delay discipline part II
โœ Lev Abolnikov; Jewgeni H. Dshalalow ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 267 KB

The authors continue to study a class of bulk queueing systems with a compound Poisson input modulated by a semi-Markov process, service control and a queue length dependent service delay discipline. A necessary and sufficient criterion of ergodicity of an embedded process is established and its sta