PERFORMANCE MEASURES FOR THE TWO-NODE QUEUE WITH FINITE BUFFERS

DOI10.1017/S0269964819000238zbMath1483.60134arXiv1502.07872OpenAlexW1642033914MaRDI QIDQ5070869

Yanting Chen, Xinwei Bai, Jasper Goseling, Richard J. Boucherie

Publication date: 14 April 2022

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

Full work available at URL: https://arxiv.org/abs/1502.07872

zbMATH Keywords

error boundsperformance measurerandom walkproduct-formfinite state spacetwo-node queue

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25)

Uses Software

• SMCSolver

Cites Work

• Unnamed Item
• Invariant measures and error bounds for random walks in the quarter-plane based on sums of geometric terms
• Queues with boundary assistance: The effects of truncation
• State-dependent importance sampling for a slowdown tandem queue
• Monotonicity and error bounds for networks of Erlang loss queues
• A formal proof for the insensitivity of simple bounds for finite multi- server non-exponential tandem queues based on monotonicity results
• Simple bounds and monotonicity results for finite multi-server exponential tandem queues
• Product form stationary distributions for queueing networks with blocking and rerouting
• A decomposition approximation for assembly-disassembly queueing networks with finite buffer and blocking
• A survey of product form queueing networks with blocking and their equivalences
• Bounding the performance of tandem queues with finite buffer spaces
• Bounds and error bounds for queueing networks
• Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process
• A quadratically convergent Bernoulli-like algorithm for solving matrix polynomial equations in Markov chains
• On the optimal design of tandem queueing systems with finite buffers
• Performance analysis of multi-server tandem queues with finite buffers and blocking
• Asymptotic Analysis of Two Coupled Queues with Vastly Different Arrival Rates and Finite Customer Capacities
• A linear programming approach to error bounds for random walks in the quarter-plane
• Error Bounds and Comparison Results: The Markov Reward Approach For Queueing Networks
• An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking
• Algorithms for Quadratic Matrix and Vector Equations
• Solution of finite QBD processes
• Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks
• Simple bounds for queueing systems with breakdowns
• On the Solution to QBD Processes with Finite State Space
• Perturbation theory for Markov reward processes with applications to queueing systems
• Simple Bounds for Finite Single-Server Exponential Tandem Queues
• Birth-and-death processes on the integers with phases and general boundaries
• Two coupled processors: The reduction to a Riemann-Hilbert problem
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• A product-form ‘loss network' with a form of queueing
• Numerical Methods for Structured Markov Chains
• A Tandem Queue with Server Slow-Down and Blocking
• Two-stations queueing networks with moving servers, blocking, and customer loss
• Error Bounds for Perturbing Nonexponential Queues
• Solving matrix polynomial equations arising in queueing problems

This page was built for publication: PERFORMANCE MEASURES FOR THE TWO-NODE QUEUE WITH FINITE BUFFERS