On the analysis of the virtual waiting time in open queueing networks
From MaRDI portal
Publication:1014849
DOI10.1007/s10440-008-9256-9zbMath1171.60021OpenAlexW2042042241MaRDI QIDQ1014849
Publication date: 29 April 2009
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9256-9
Wiener processlimit theoremlaw of iterated logarithmvirtual waiting timereliability modelopen network of GI/GI/1 queuesoverload regime
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conditioned limit theorems for the pair of waiting time and queue line processes
- State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy
- Stochastic discrete flow networks: Diffusion approximations and bottlenecks
- Strong approximations for the open queueing network in heavy traffic
- Moderate deviations for queues in critical loading
- A broader view of Brownian networks
- A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines
- On the law of the iterated logarithm in open queueing networks
- Brownian models of multiclass queueing networks: Current status and open problems
- Heavy traffic limits for some queueing networks
- Asymptotic relations in queueing theory
- Open Queueing Networks in Heavy Traffic
- Heavy-Traffic Optimality of a Stochastic Network Under Utility-Maximizing Resource Allocation
- An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue
- An approximation of stopped sums with applications in queueing theory
- Heavy Traffic Limit Theorems for Queues: A Survey
- Weak convergence in queueing theory
- An invariance principle for queues in heavy traffic
- Some more results for the stable M/G/1 queue in heavy traffic
- On a tandem queueing model with identical service times at both counters, I
- On a tandem queueing model with identical service times at both counters, II
- Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
- The quasi-stationary distributions of queues in heavy traffic
- Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule
- Multiple channel queues in heavy traffic
- Multiple channel queues in heavy traffic. II: sequences, networks, and batches
- Multiple channel queues in heavy traffic. I
- On the quasi-stationary distribution of the virtual waiting time in queues with Poisson arrivals
- The virtual waiting time of the GI/G/1 queue in heavy traffic
- On the quasi-stationary distributions of the GI/M/1 queue
- Existence condition for the diffusion approximations of multiclass priority queueing networks