Actions for Conditions for product form network solution through the analysis of finite queues with overflows

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Conditions for product form network solution through the analysis of finite queues with overflows

Author
Noetzel, A. S.
Published
United States : [publisher not identified], 1978.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1978.
Physical Description
microfiche : negative ; 11 x 15 cm

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Summary
The problem of characterizing the class of queues for which queuing networks have product form equilibrium state probabilities is approached by representing a finite-capacity queue as a finite-state, continuous-parameter Markov process. The conditional queuing process, given that no departures take place in an interval, is shown to be a stationary process whenever the queue has the local balance property. The Poisson departure process is then an immediate consequence of local balance. A generalized form of local balance, also yielding Poisson departures, is shown. A queue that has Poisson departures but not general local balance is demonstrated, and is shown to yield the product form in one simple network. The conjecture that the Poisson departure characteristic is sufficient for the product form network solution results from this. 4 figures.
Report Numbers
BNL-24181; CONF-780328-2
Other Subject(s)
Collection
U.S. Atomic Energy Commission depository collection.
Note
DOE contract number: EY-76-C-02-0016
OSTI Identifier 6750085
Research organization: Brookhaven National Lab., Upton, N.Y. (USA).
View MARC record | catkey: 42515366