Gaussian Approximations to Service Problems: A Communication System Example.

摘要

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 equations (I+O). Steady-state distributions are found and compared with certain simulation results. (Author)