Non-product form equilibrium probabilities in a class of two-station closed reentrant queueing networks

DOI10.1007/S11134-012-9310-1zbMath1278.60138OpenAlexW2059023523MaRDI QIDQ1945444

James R. Morrison, Woo-sung Kim

Publication date: 8 April 2013

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-012-9310-1

zbMATH Keywords

closed form solutionclosed queueing networksbuffer priority policyproduct form queueing networks

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

• Unnamed Item
• Unnamed Item
• A product form solution to a system with multi-type jobs and multi-type servers
• Factorized time-dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks
• Product form in networks of queues with batch arrivals and batch services
• Partial fractions expansion: A review of computational methodology and efficiency
• On the guaranteed throughput and efficiency of closed re-entrant lines
• Brownian models of feedforward queueing networks: Quasireversibility and product form solutions
• New linear program performance bounds for queueing networks
• Optimization of multiclass queueing networks: Polyhedral and nonlinear characterizations of achievable performance
• Necessary conditions for global stability of multiclass queueing networks
• Stability and instability of a two-station queueing network
• Scheduling networks of queues: Heavy traffic analysis of a simple open network
• Two-server closed networks in heavy traffic: diffusion limits and asymptotic optimality.
• Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis
• Twenty Five Years of Cyclic Queues and Closed Queue Networks: A Review
• Push and Pull Production Systems: Issues and Comparisons
• Applying a New Device in the Optimization of Exponential Queuing Systems
• Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Polynomial Root-Finding Algorithms and Branched Covers
• Performance bounds for queueing networks and scheduling policies
• The Throughput of Irreducible Closed Markovian Queueing Networks: Functional Bounds, Asymptotic Loss, Efficiency, and the Harrison-Wein Conjectures
• The Stability of Two-Station Multitype Fluid Networks
• ON THE STRUCTURE OF THE SPACE OF GEOMETRIC PRODUCT-FORM MODELS
• Stability of queueing networks and scheduling policies
• Stability and Instability of Fluid Models for Reentrant Lines
• A LOSS SYSTEM WITH SKILL-BASED SERVERS UNDER ASSIGN TO LONGEST IDLE SERVER POLICY
• Computational Performance Bounds for Markov Chains With Applications
• Comparing LP Bounds for Queueing Networks
• Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network
• Functional analysis and the optimal control of linear discrete systems
• New linear program performance bounds for closed queueing networks

This page was built for publication: Non-product form equilibrium probabilities in a class of two-station closed reentrant queueing networks