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

✍ Scribed by Lev Abolnikov; Jewgeni H. Dshalalow

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 267 KB
• Volume: 5
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(92)90054-d

✦ Synopsis

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 stationary distribution is derived.