Accession Number : ADA257126


Title :   Extensions of Palm's Theorem: A Review


Corporate Author : RAND CORP SANTA MONICA CA


Personal Author(s) : Carrillo, Manuel J


Report Date : Jun 1991


Pagination or Media Count : 8


Abstract : This note reviews the transient behavior the M/G/infinity queue with nonhomogeneous Poisson or compound Poisson and nonstationary service distribution. In the case of nonhomogeneous Poisson input, the number of customers in the queueing system over turns out to have a Poisson distributions. The generality of the nonhomogeneity/nonstationarity assumptions and the ease of use of the resulting Poisson distribution broaden the area of applications for Poisson models. These results have found use in modeling multi-echelon repair systems in situations where the number of arrivals or number in service has a variance-to-mean ratio of unity (the Poisson case) or greater than unity.


Descriptors :   *QUEUEING THEORY , *INVENTORY CONTROL , INPUT , TIME DEPENDENCE , THEOREMS , RANDOM VARIABLES , PROBLEM SOLVING , STATIONARY


Subject Categories : Operations Research


Distribution Statement : APPROVED FOR PUBLIC RELEASE