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The effect of freshwater biases on AMOC stability across the model complexity spectrum
Boot AA, Dijkstra HA.
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State space collapse for multi-class queueing networks under SBP service policies
Queueing Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang Cao, Jim Dai
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Analysis of voltage-collapse mechanisms in state space
IEE Proceedings - Generation, Transmission and Distribution, 2000The effects of the generator excitation current limit, the on-load tap changer (OLTC) and load dynamics on voltage stability are analysed in state space. The variation of the number and coordinates of the equilibrium points with parameters of the system are discussed.
L. Bao, X. Duan, Y. He
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Pathwise optimality and state space collapse for the exponential rule
Proceedings IEEE International Symposium on Information Theory,, 2003We study the problem of scheduling transmissions of multiple data users sharing the same wireless channel. The unique feature of this problem is the fact that the capacity (service rate) of the channel varies with time randomly and asynchronously for different users.
S. Shakkottai, R. Srikant, A. Stolyar
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Queueing Dynamics and State Space Collapse in Fragmented Limit Order Book Markets
Operations Research, 2014In modern equity markets, participants have a choice of many exchanges at which to trade, each of which typically operates as an electronic limit order book. This paper analyzes this setting as a multiclass queueing system. Taking into account the effect of investors’ order-routing decisions across exchanges, they find that the equilibrium of this ...
Costis Maglaras +2 more
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State space collapse and stability of queueing networks
Mathematical Methods of Operations Research, 2010The author studies the stability of subcritical multi-class queueing networks with feedback allowed and a work-conserving head-of-the-line service discipline. Assuming that the fluid limit model associated to the queueing network satisfies a state space collapse condition, it is shown that the queueing network is stable provided that any solution of an
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State space collapse for queueing networks
1998Let \(Z(t)\) be the \(K\)-vector of numbers of customers at time \(t\) in a queueing network with \(J\) stations and \(K\) customer classes and \(W(t)\) the \(J\)-vector of workloads at the \(J\) stations. Typically, \(K\) is much smaller than \(J\), and state space collapse means that \(Z(\cdot)\) can be approximated by \(\Delta W(\cdot)\) where ...
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State space collapse for asymptotically critical multi-class fluid networks
Queueing Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Heavy-traffic Analysis of the Generalized Switch under Multidimensional State Space Collapse
ACM SIGMETRICS Performance Evaluation Review, 2019The drift method was recently developed to study performance of queueing systems in heavy-traffic [1]. It has been used to analyze several queueing systems, including some where the Complete Resource Pooling (CRP) condition is not satisfied, like the input-queued switch [4].
Daniela Hurtado-Lange +1 more
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