Martingales and buffer overflow for the symmetric shortest queue model
From MaRDI portal
Publication:2294090
DOI10.1007/s11134-019-09628-9zbMath1430.90204OpenAlexW2972098318WikidataQ127286703 ScholiaQ127286703MaRDI QIDQ2294090
Publication date: 10 February 2020
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11134-019-09628-9
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stationary analysis of the shortest queue first service policy
- Stability of join the shortest queue networks
- The shorter queue problem: A numerical study using the matrix-geometric solution
- Large deviations without principle: join the shortest queue
- A two-queue, one-server model with priority for the longer queue
- Some martingales related to cumulative sum tests and single-server queues
- Analysis of the asymmetrical shortest two-server queueing model
- On the stability of a partially accessible multi-station queue with state-dependent routing
- Upper and lower bounds for the waiting time in the symmetric shortest queue system
- Queueing system with selection of the shortest of two queues: An asymptotic approach
- Malyshev's theory and JS-queues. Asymptotics of stationary probabilities
- Stationary analysis of the shortest queue problem
- A technique for exponential change of measure for Markov processes
- Join the shortest queue: Stability and exact asymptotics
- On the nonsymmetric longer queue model: joint distribution, asymptotic properties, and heavy traffic limits
- Analysis of two queues in parallel with jockeying and restricted capacities
- Stability of join-the-shortest-queue networks
- Analysis of the asymmetric shortest queue problem
- Random Walks in the Quarter Plane
- TWO QUEUES IN PARALLEL
- Two Similar Queues in Parallel
- The autostrada queueing problem
- Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime
- The Longer Queue Model
- J.comput. appl. math
- The shortest queue problem
- Exponential martingales and Wald's formulas for two-queue networks
- Deciding Which Queue to Join: Some Counterexamples
- Analysis of the asymmetric shortest queue problem with threshold jockeying
- Two queues in parallel
- Optimality of the shortest line discipline
- On the optimal assignment of customers to parallel servers
- Two coupled processors: The reduction to a Riemann-Hilbert problem
- A compensation approach for two-dimensional Markov processes
- A join the shorter queue model in heavy traffic
- Applied Probability and Queues
- Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics
- A Large Deviation Principle for Join the Shortest Queue
- Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model
- A load-balanced network with two servers
- The Power-Series Algorithm Applied to the Shortest-Queue Model
