On extreme values in open queueing networks
From MaRDI portal
Publication:969998
DOI10.1016/j.mcm.2009.05.025zbMath1185.90052OpenAlexW2088684407MaRDI QIDQ969998
Publication date: 8 May 2010
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2009.05.025
extreme valuesheavy trafficqueueing systemsopen queueing networktotal virtual waiting time of a customervirtual waiting time of a customer
Stochastic network models in operations research (90B15) Queues and service in operations research (90B22) Traffic problems in operations research (90B20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Waiting time with critical load for priority systems with semi-Markov service
- Extreme values of birth and death processes and queues
- Weak convergence in multiphase queues
- Strong approximations for the open queueing network in heavy traffic
- Extreme value theory for queues via cycle maxima
- Moderate deviations for queues in critical loading
- Extreme and high-level sojourns of the single server queue in heavy traffic
- On the law of the iterated logarithm in open queueing networks
- Complex transient phenomena in multiphase queuing systems. II
- Brownian models of multiclass queueing networks: Current status and open problems
- Heavy-traffic extreme-value limits for queues
- Asymptotic relations in queueing theory
- Maximum Values in Queueing Processes
- Open Queueing Networks in Heavy Traffic
- An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue
- An approximation of stopped sums with applications in queueing theory
- Extreme Values of Queue Lengths in M/G/1 and GI/M/1 Systems
- Periodic queues in heavy traffic
- Some Useful Functions for Functional Limit Theorems
- 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
- Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
- The quasi-stationary distributions of 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
- Extreme Values in the GI/G/1 Queue
- On the quasi-stationary distributions of the GI/M/1 queue
This page was built for publication: On extreme values in open queueing networks