Gaussian approximations to service problems
Subtitle: a communication system example
By: by D. P. Gaver and J. P. Lehoczky
Contributors: Lehoczky, John P.; Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1975
Place of publication: Monterey, California
Language: eng
Number of pages: 36
Subjects: Communication; Queuing theory; Stochastic differential equations; Mathematical models
Description: 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.
Notes: Title from cover.

"NPS55Gv75061"--Cover.

"June 1975"--Cover.

Includes bibliographical references (p. 34)

"Approved for public release; distribution is unlimited"--Cover.

Technical report; 1975.