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Computable Bounds on the Spectral Gap for Unreliable Jackson Networks

https://doi.org/10.1239/aap/1435236981
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9780470317044openalex-snapshot
Stochastic Processes for Insurance and Finance
inferredcites →https://doi.org/10.1007/978-1-4471-3267-7openalex-snapshot
Markov Chains and Stochastic Stability
inferredcites →https://doi.org/10.1007/978-1-4612-5883-4openalex-snapshot
Stochastic Monotonicity and Queueing Applications of Birth-Death Processes
inferredcites →https://doi.org/10.1007/b138904openalex-snapshot
Eigenvalues, Inequalities, and Ergodic Theory
inferredcites →https://doi.org/10.1007/bf00535294openalex-snapshot
On the spectra of some linear operators associated with queueing systems
inferredcites →https://doi.org/10.1007/bf01046778openalex-snapshot
Strong stationary duality for continuous-time Markov chains. Part I: Theory
inferredcites →https://doi.org/10.1007/bf01149187openalex-snapshot
Threshold phenomena in the transient behaviour of Markovian models of communication networks and databases
inferredcites →https://doi.org/10.1007/bf02106789openalex-snapshot
Estimation of spectral gap for Markov chains
inferredcites →https://doi.org/10.1007/bf02582989openalex-snapshot
ExponentialL 2-convergence andL 2-spectral gap for Markov processes
inferredcites →https://doi.org/10.1007/s00440-003-0304-0openalex-snapshot
Essential spectral radius for Markov semigroups (I): discrete time case
inferredcites →https://doi.org/10.1007/s00440-004-0410-7openalex-snapshot
On the spectrum of Markov semigroups via sample path large deviations
inferredcites →https://doi.org/10.1007/s10959-009-0233-7openalex-snapshot
On Hitting Times and Fastest Strong Stationary Times for Skip-Free and More General Chains
inferredcites →https://doi.org/10.1007/s10959-009-0234-6openalex-snapshot
On Times to Quasi-stationarity for Birth and Death Processes
inferredcites →https://doi.org/10.1007/s11134-012-9284-zopenalex-snapshot
Strong stationary duality for Möbius monotone Markov chains
inferredcites →https://doi.org/10.1007/s11464-010-0068-7openalex-snapshot
Speed of stability for birth-death processes
inferredcites →https://doi.org/10.1016/0167-7152(95)00015-1openalex-snapshot
A queueing theoretical proof of increasing property of Polya frequency functions
inferredcites →https://doi.org/10.1016/0304-4149(73)90001-xopenalex-snapshot
On exponential ergodicity and spectral structure for birth-death processes, II
inferredcites →https://doi.org/10.1016/0304-4149(73)90013-6openalex-snapshot
On exponential ergodicity and spectral structure for birth-death processes I
inferredcites →https://doi.org/10.1017/s0001867800012763openalex-snapshot
The λ-classification of continuous-time birth-and-death processes
inferredcites →https://doi.org/10.1017/s0001867800015214openalex-snapshot
Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
inferredcites →https://doi.org/10.1017/s0001867800046322openalex-snapshot
Dependencies in Markovian networks
inferredcites →https://doi.org/10.1017/s000186780004756xopenalex-snapshot
On ergodicity and recurrence properties of a Markov chain by an application to an open jackson network
inferredcites →https://doi.org/10.1017/s0021900200004745openalex-snapshot
Impact of Routeing on Correlation Strength in Stationary Queueing Network Processes
inferredcites →https://doi.org/10.1017/s0021900200015576openalex-snapshot
Rates of convergence of stochastically monotone and continuous time Markov models
inferredcites →https://doi.org/10.1017/s0021900200018593openalex-snapshot
Geometric renewal convergence rates from hazard rates
inferredcites →https://doi.org/10.1017/s0021900200043679openalex-snapshot
Evaluation of the decay parameter for some specialized birth-death processes
inferredcites →https://doi.org/10.1017/s0021900200117966openalex-snapshot
Computable Bounds for the Decay Parameter of a Birth–Death Process
inferredcites →https://doi.org/10.1017/s0269964800001522openalex-snapshot
Examples for the Theory of Strong Stationary Duality with Countable State Spaces
inferredcites →https://doi.org/10.1017/s0269964800001893openalex-snapshot
Time to Stationarity for a Continuous-Time Markov Chain
inferredcites →https://doi.org/10.1017/s0269964802161055openalex-snapshot
RENEWAL CONVERGENCE RATES FOR DHR AND NWU LIFETIMES
inferredcites →https://doi.org/10.1017/s0269964806060359openalex-snapshot
DEPENDENCE ORDERING FOR QUEUING NETWORKS WITH BREAKDOWN AND REPAIR
inferredcites →https://doi.org/10.1023/a:1005269414915openalex-snapshot
Determination of the Spectral Index of Ergodicity of a Birth-and-Death Process
inferredcites →https://doi.org/10.1080/15326348508807001openalex-snapshot
The relaxation time of two queueing systems in series
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0930082-9openalex-snapshot
Bounds on the 𝐿² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality
inferredcites →https://doi.org/10.1137/s0040585x97984097openalex-snapshot
Bounds and Asymptotics for the Rate of Convergence of Birth-Death Processes
inferredcites →https://doi.org/10.1214/07-aihp149openalex-snapshot
Spectral gap and convex concentration inequalities for birth–death processes
inferredcites →https://doi.org/10.1214/105051604000000477openalex-snapshot
Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process
inferredcites →https://doi.org/10.1214/105051604000000710openalex-snapshot
Renewal theory and computable convergence rates for geometrically ergodic Markov chains
inferredcites →https://doi.org/10.1214/aoap/1034968072openalex-snapshot
Computable exponential convergence rates for stochastically ordered Markov processes
inferredcites →https://doi.org/10.1214/aoap/1177005980openalex-snapshot
Geometric Bounds for Eigenvalues of Markov Chains
inferredcites →https://doi.org/10.1214/aoap/1177005981openalex-snapshot
Eigenvalue Bounds on Convergence to Stationarity for Nonreversible Markov Chains, with an Application to the Exclusion Process
inferredcites →https://doi.org/10.1214/aop/1176988498openalex-snapshot
Asymptotics of Exit Times for Markov Jump Processes. II: Applications to Jackson Networks
inferredcites →https://doi.org/10.1214/aop/1176990628openalex-snapshot
Strong Stationary Times Via a New Form of Duality
inferredcites →https://doi.org/10.1214/aop/1176991408openalex-snapshot
Exponential $L_2$ Convergence of Attractive Reversible Nearest Particle Systems
inferredcites →https://doi.org/10.1239/jap/1183667415openalex-snapshot
Computable Bounds for the Decay Parameter of a Birth–Death Process
inferredcites →https://doi.org/10.1287/moor.1090.0421openalex-snapshot
Series Jackson Networks and Noncrossing Probabilities
inferredcites →https://doi.org/10.1287/moor.18.4.916openalex-snapshot
Lyapounov Functions for Jackson Networks
inferredcites →https://doi.org/10.1515/eqc.2003.165openalex-snapshot
Availability Formulas and Performance Measures for Separable Degradable Networks
inferredcites →https://doi.org/10.2307/2000925openalex-snapshot
Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality
inferredcites →https://doi.org/10.2307/2678139openalex-snapshot
Stochastic Processes for Insurance and Finance
inferredcites →https://doi.org/10.3150/12-bej433openalex-snapshot
Intertwining and commutation relations for birth–death processes
inferredcites →https://doi.org/10.48550/arxiv.1206.3066openalex-snapshot
Explicit Lyapunov functions and estimates of the essential spectral radius for Jackson networks

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.2881956openalex-extracted
Analysis of Unreliable Jackson-Type Queueing Networks with Dynamic Routing
inferred← citeshttps://doi.org/10.2139/ssrn.3997746openalex-extracted
Constant Estimation for Convergence Rate of Queueing Network With Changing Structure
inferred← citeshttps://doi.org/10.1007/978-3-030-16660-1_22openalex-snapshot
Modelling Complex Transport Network with Dynamic Routing: A Queueing Networks Approach
inferred← citeshttps://doi.org/10.1007/978-3-030-66471-8_35openalex-snapshot
On Exponential Convergence of Dynamic Queueing Network and Its Applications
inferred← citeshttps://doi.org/10.1007/978-3-319-51917-3_23openalex-snapshot
Rate of Convergence to Stationary Distribution for Unreliable Jackson-Type Queueing Network with Dynamic Routing
inferred← citeshttps://doi.org/10.1007/978-3-319-66836-9_30openalex-snapshot
Analysis of Unreliable Open Queueing Network with Dynamic Routing
inferred← citeshttps://doi.org/10.1007/s10955-023-03190-8openalex-snapshot
Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction
inferred← citeshttps://doi.org/10.1017/apr.2015.12openalex-snapshot
Correlation formulas for Markovian network processes in a random environment
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