State Dependence in M/G/1 Server-Vacation Models.
GEORGE MASON UNIV FAIRFAX VA DEPT OF SYSTEMS ENGINEERING
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This paper examines a generalization of the exhaustive and one-at-a-time-discipline MG1 server vacation models. This alternative model is viewed as a state-dependent non-vacation MG1 queue in which the original service times are extended to include a possibly zero length state-dependent vacation after each service. Such a vacation policy permits greater flexibility in modeling real problems, and does, in fact, subsume most prior MG1 approaches. This device reveals a fundamental decomposition somewhat like that previously established for the classical vacation disciplines. In addition, necessary and sufficient conditions for system ergodicity are established for the state-dependent vacation policy, and some comments are offered on computations together with a few illustrative examples. Keywords Computer networks Local area networks. Author
- Computer Hardware
- Computer Systems