Closed Jackson Network
In some applications once a job leaves the network, a new job is immediately released into the network. This type of network can be viewed as having a fixed number of jobs in the network, with no job ever leaving the network and no external job entering the network. In this sense, the network is "closed". It is also referred to as Gordon–Newell network
In closed Jackson network, and are 0 for all i and j., and for each row. Let be the solution to
The solution is not unique so we need to add another equation. For example for some constant or for some .
The equilibrium balance equations are given by:
for all such that . Similarly, define and where and are defined before.
Read more about this topic: Jackson's Theorem (queueing Theory)
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