A queueing theoretical proof of increasing property of Polya frequency functions
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Publication:1914308
DOI10.1016/0167-7152(95)00015-1zbMath0851.60090OpenAlexW1968839625MaRDI QIDQ1914308
Publication date: 5 June 1996
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(95)00015-1
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (8)
Peacocks Obtained by Normalisation: Strong and Very Strong Peacocks ⋮ Stochastic monotonicity of dependent variables given their sum ⋮ Throughput limits from the asymptotic profile of cyclic networks with state-dependent service rates ⋮ Product Form Models for Queueing Networks with an Inventory ⋮ MRL order, log-concavity and an application to peacocks ⋮ Availability Formulas and Performance Measures for Separable Degradable Networks ⋮ On the Correlation Structure of Closed Queueing Networks ⋮ Computable Bounds on the Spectral Gap for Unreliable Jackson Networks
Cites Work
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- A concept of negative dependence using stochastic ordering
- The preservation of likelihood ratio ordering under convolution
- Monotonicity of the throughput of a closed exponential queueing network in the number of jobs
- Markov chain models - rarity and exponentiality
- Negative association of random variables, with applications
- On uniform conditional stochastic order conditioned on planar regions
- A Concept of Monotonicity and Its Characterization for Closed Queueing Networks
- The effect of increasing service rates in a closed queueing network
- Throughput bounds for closed queueing networks with queue-dependent service rates
- Stochastic Monotonicity of the Queue Lengths in Closed Queueing Networks
- Second-Order Properties of the Throughput of a Closed Queueing Network
- Stochastic monotonicity in general queueing networks
- Dependencies in Markovian networks
- On stochastic comparison of random vectors
- Increasing Properties of Polya Frequency Function
- Networks of Waiting Lines
- Closed Queuing Systems with Exponential Servers
- Convergence of stochastic processes
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