2016
DOI: 10.1017/s0269964816000048
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Product-Form in G-Networks

Abstract: The introduction of the class of queueing networks called G-networks by Gelenbe has been a breakthrough in the field of stochastic modeling since it has largely expanded the class of models which are analytically or numerically tractable. From a theoretical point of view, the introduction of the G-networks has lead to very important considerations: first, a product-form queueing network may have non-linear traffic equations; secondly, we can have a product-form equilibrium distribution even if the customer rou… Show more

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Cited by 7 publications
(5 citation statements)
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References 63 publications
(89 reference statements)
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“…6,[9][10][11] However, Pt-based catalysts are easily deactivated with coke formation and/or toluene fouling during the reaction. [12][13][14][15] Recently, Ir/USY, 16…”
Section: Introductionmentioning
confidence: 99%
“…6,[9][10][11] However, Pt-based catalysts are easily deactivated with coke formation and/or toluene fouling during the reaction. [12][13][14][15] Recently, Ir/USY, 16…”
Section: Introductionmentioning
confidence: 99%
“…The Energy Packet Network (EPN) model is a mathematical abstraction for interconnected processing units or data transmission nodes that receive random flows of energy and data or jobs [68,69] based on G-Networks [54,55,63,107,120]. It has been used for the QoS analysis of systems that operate with intermittent sources of energy [76].…”
Section: Energy Savings In Ict and Energy Packet Networkmentioning
confidence: 99%
“…Another approach to the EPN is based on G-networks [23,31,47,70,71,94] that is able to consider more general network structures and the service time for both job processing and energy consumption. G-networks with positive and negative customers were first inspired by the research on biophysical neural networks that can communicate through impulse signals with random emitting intervals, known as random neural networks [26,33].…”
Section: Introductionmentioning
confidence: 99%