Contributions

  • Lehoczky, John P. - Contributor
  • Naval Postgraduate School (U.S.) - Contributor

Publication

1975 - Naval Postgraduate School, Monterey, California, California

Language

English

Word Count

9,000 words, Guess

Page Count

36 pages

Identifiers

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.

Subjects

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