The generalized join the shortest orbit queue system: stability, exact tail asymptotics and stationary approximations

DOI10.1017/s0269964821000528zbMath1516.90015arXiv2104.08037OpenAlexW4226082703WikidataQ114116849 ScholiaQ114116849MaRDI QIDQ6104953

No author found.

Publication date: 16 June 2023

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08037

zbMATH Keywords

stabilityexact tail asymptoticsretrialsstationary approximationsgeneralized join the shortest orbit queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The shorter queue problem: A numerical study using the matrix-geometric solution
• Asymptotic behavior of the stationary probabilities for two-dimensional positive random walks
• Upper and lower bounds for the waiting time in the symmetric shortest queue system
• Malyshev's theory and JS-queues. Asymptotics of stationary probabilities
• Join the shortest queue: Stability and exact asymptotics
• Light tail asymptotics in multidimensional reflecting processes for queueing networks
• Join the shortest queue among \(k\) parallel queues: tail asymptotics of its stationary distribution
• Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process
• Asymptotic behavior for MAP/PH/\(c\) queue with shortest queue discipline and jockeying
• Erlang arrivals joining the shorter queue
• Decay rate for a PH/M/2 queue with shortest queue discipline
• Analysis of the asymmetric shortest queue problem
• Analysis of the symmetric join the shortest orbit queue
• GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES
• Random Walks in the Quarter Plane
• Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks
• TWO QUEUES IN PARALLEL
• Two Similar Queues in Parallel
• J.comput. appl. math
• Retrial Queueing Systems
• Markov Chains and Stochastic Stability
• Two Parallel Queues with Dynamic Routing
• A note on waiting times in systems with queues in parallel
• A Basic Dynamic Routing Problem and Diffusion
• A compensation approach for two-dimensional Markov processes
• A join the shorter queue model in heavy traffic
• Matrix geometric approach for random walks: Stability condition and equilibrium distribution
• The censored Markov chain and the best augmentation
• Topics in the Constructive Theory of Countable Markov Chains
• Retrial Queues
• 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
• Queueing models with multiple waiting lines
• A load-balanced network with two servers

This page was built for publication: The generalized join the shortest orbit queue system: stability, exact tail asymptotics and stationary approximations