F. P. Kelly, P. K. Pollett
Abstract
This paper obtains the stationary joint distribution of a customer's sojourn times along an overtake-free path in a closed multiclass Jackson network. The distribution has a simple representation in terms of the product form distribution for the state of the network at an arrival instant.
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This paper obtains the stationary joint distribution of a customer's sojourn times along an overtake-free path in a closed multiclass Jackson network. The distribution has a simple representation in terms of the product form distribution for the state of the network at an arrival instant.
Key concepts: Mathematics, Queueing theory, Instant, Distribution (mathematics), Simple (philosophy), Representation (politics), Joint probability distribution, Path (computing)