Gaussian approximations to service problems
a communication system example
by Donald Paul Gaver
Messages arrive at a group of service channels in accordance with a time-dependent Poisson process. An arrival either (1) immediately begins k-stage Markovian service if an empty channel is reached, or (2) balks and enters a retrial population if the channel sought is busy. Diffusion approximations to the number of messages in service (each stage) and in the retrial population are derived by writing stochastic differential (I+0) equations. Steady-state distributions are found and compared with certain simulation results.
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Gaussian approximations to service problems: a communication system example
1975, Naval Postgraduate School
in English
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"NPS55Gv75061"--Cover.
"June 1975"--Cover.
Includes bibliographical references (p. 34)
"Approved for public release; distribution is unlimited"--Cover.
Technical report; 1975.
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