Networks of Non-homogeneous M/G/oo Systems
Name
OR-209-90.pdf
Size
724.57 KB
Format
Adobe PDF
Checksum (MD5)
82cf0168b5a8a4294763b90ee5efd9ca
Author(s)
Keilson, Julian
Servi, Les D.
Date Issued
January 1990
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 209-90
Abstract
For a network of G/oo service facilities, the transient joint distribution of the facility populations is found to have a simple Poisson product form with simple explicit formula for the means. In the network it is assumed that: a) each facility has an infinite number of servers; b) the service time distributions are general; c) external traffic is non-homogenous in time; d) arrivals have random or deterministic routes through the network possibly returning to the same facility more than once; e) arrivals use the facilities on their route sequentially or in parallel (as in the case of a circuit switched telecommunication network). The results have relevance to communication networks and manufacturing systems.
MIT Department
Massachusetts Institute of Technology. Operations Research Center
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