G-NETWORKS OF UNRELIABLE NODES
2016 ◽
Vol 30
(3)
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pp. 361-378
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Keyword(s):
We study G-networks with positive and negative customers and signals. We consider two types of signals: they can make a subnetwork of queues operational or down. As signals are sent by queues after a customer service completion, one can model the availability of a sub-network of queues controlled by another network of queues. We prove that under classical assumptions for G-networks and assumptions on the rerouting probabilities when a subnetwork is not operational, the steady-state distribution, if it exists, has a product form steady state distribution. Some examples are given.
2017 ◽
Vol 31
(4)
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pp. 420-435
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A TWO-ECHELON SPARE PARTS NETWORK WITH LATERAL AND EMERGENCY SHIPMENTS: A PRODUCT-FORM APPROXIMATION
2017 ◽
Vol 32
(4)
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pp. 536-555
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Keyword(s):
Product Form Steady-State Distribution for Stochastic Automata Networks with Domino Synchronizations
2008 ◽
pp. 110-124
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Keyword(s):
Keyword(s):
1998 ◽
Vol 35
(1)
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pp. 151-164
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Keyword(s):
Keyword(s):
1985 ◽
Vol 248
(5)
◽
pp. C498-C509
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1996 ◽
Vol 39
(4)
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pp. 525-540
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Keyword(s):
1969 ◽
Vol 7
(1)
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pp. 101-109
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