On closed support T-Invariants and the traffic equations
1998 ◽
Vol 35
(2)
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pp. 473-481
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Keyword(s):
The traffic equations are the basis for the exact analysis of product form queueing networks, and the approximate analysis of non-product form queueing networks. Conditions characterising the structure of the network that guarantees the existence of a solution for the traffic equations are therefore of great importance. This note shows that the new condition stating that each transition is covered by a minimal closed support T-invariant, is necessary and sufficient for the existence of a solution for the traffic equations for batch routing queueing networks and stochastic Petri nets.
2015 ◽
Vol 110
◽
pp. 264-278
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1982 ◽
pp. 219-251
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Keyword(s):
1991 ◽
Vol 13
(4)
◽
pp. 237-251
◽
Keyword(s):
2000 ◽
Vol 32
(01)
◽
pp. 284-313
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