Heavy traffic analysis for EDF queues with reneging
From MaRDI portal
Publication:535200
DOI10.1214/10-AAP681zbMath1220.60053arXiv1104.1047OpenAlexW3098977136MaRDI QIDQ535200
Kavita Ramanan, Łukasz Kruk, John P. Lehoczky, Steven E. Shreve
Publication date: 11 May 2011
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.1047
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Brownian motion (60J65) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Random measures (60G57)
Related Items
Fluid Limits of G/G/1+G Queues Under the Nonpreemptive Earliest-Deadline-First Discipline ⋮ Law of large numbers for the many-server earliest-deadline-first queue ⋮ Personalized queues: the customer view, via a fluid model of serving least-patient first ⋮ Developing a performance index with a Poisson process and an exponential distribution for operations management and continuous improvement ⋮ Fluid limits for shortest job first with aging ⋮ Minimality of EDF networks with resource sharing ⋮ Diffusion approximations for open Jackson networks with reneging ⋮ SDEs with two reflecting barriers driven by semimartingales and processes with bounded \(p\)-variation ⋮ On queues with impatience: stability, and the optimality of earliest deadline first ⋮ Edge minimality of EDF resource sharing networks ⋮ Diffusive limits of Lipschitz functionals of Poisson measures ⋮ Impact of priority sequencing decisions on on-time probability and expected tardiness of orders in make-to-order production systems with external due-dates ⋮ Fluid limits for earliest-deadline-first networks ⋮ Stability of linear EDF networks with resource sharing ⋮ Ergodicity of an SPDE associated with a many-server queue ⋮ A Skorokhod map on measure-valued paths with applications to priority queues ⋮ Replicate to the shortest queues ⋮ Asymptotic Optimality of Power-of-d Load Balancing in Large-Scale Systems ⋮ Fuzzy testing of operating performance index based on confidence intervals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Law of large numbers limits for many-server queues
- Accuracy of state space collapse for earliest-deadline-first queues
- Steady state approximations of limited processor sharing queues in heavy traffic
- Reflected Brownian motion on an orthant
- Stochastic discrete flow networks: Diffusion approximations and bottlenecks
- A diffusion approximation for a Markovian queue with reneging
- Fluid and heavy traffic diffusion limits for a generalized processor sharing model
- Real-time queues in heavy traffic with earliest-deadline-first queue discipline
- Diffusion approximation for a processor sharing queue in heavy traffic.
- Earliest-deadline-first service in heavy-traffic acyclic networks.
- Convex duality and the Skorokhod problem. II
- On the behavior of LIFO preemptive resume queues in heavy traffic
- An explicit formula for the Skorokhod map on \([0,a\)]
- Heavy traffic limit for a processor sharing queue with soft deadlines
- Validity of heavy traffic steady-state approximations in generalized Jackson networks
- A diffusion approximation for a GI/GI/1 queue with balking or reneging
- Stochastic-Process Limits
- A Multiserver Queueing System with Impatient Customers
- Fluid Limits for Shortest Remaining Processing Time Queues
- Double Skorokhod Map and Reneging Real-Time Queues
- Applied Probability and Queues
- Diffusion limits for shortest remaining processing time queues
- Weak convergence theorems for priority queues: preemptive-resume discipline
- Multiple channel queues in heavy traffic. I