A Jackson network under general regime
DOI10.1214/18-BJPS401zbMath1423.62167OpenAlexW2949063749MaRDI QIDQ2318629
Publication date: 15 August 2019
Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bjps/1560153851
heavy trafficOrnstein-Uhlenbeck processmany-server queuediffusion limitsHalfin-Whitt regimeJackson networkqueue-length processconventional diffusion regime
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics in engineering and industry; control charts (62P30) Queues and service in operations research (90B22) Diffusion processes (60J60) Traffic problems in operations research (90B20)
Cites Work
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- Asymptotically optimal interruptible service policies for scheduling jobs in a diffusion regime with nondegenerate slowdown
- Capacity allocation in generalized Jackson networks
- Reflected Brownian motion on an orthant
- Point processes and queues. Martingale dynamics
- Strong approximation for Markovian service networks
- Optimal control of service rates and arrivals in Jackson networks
- Validity of heavy traffic steady-state approximations in generalized Jackson networks
- A Diffusion Regime with Nondegenerate Slowdown
- Open Queueing Networks in Heavy Traffic
- How Multiserver Queues Scale with Growing Congestion-Dependent Demand
- Heavy-Traffic Limits for Queues with Many Exponential Servers
- Optimal service‐capacity allocation in a loss system
- On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
- Statistical Analysis of a Telephone Call Center
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