Zero-automatic queues and product form

DOI10.1239/aap/1183667618zbMath1121.60094OpenAlexW2106748827MaRDI QIDQ3590746

Thu-Ha Dao-Thi, Jean Mairesse

Publication date: 3 September 2007

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aap/1183667618

zbMATH Keywords

product formquasi-reversibilityqueueing theory\(G\)-queuequasi-birth-and-death processM/M/1 queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (2)

Zero-automatic networks ⋮ Fcfs infinite bipartite matching of servers and customers

Cites Work

• G-networks with multiple classes of negative and positive customers
• Random walks on groups and monoids with a Markovian harmonic measure
• Zero-automatic networks
• The rate of escape for anisotropic random walks in a tree
• Subadditive ergodic theory
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• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Markov Chains
• Matrix product-form solutions for Markov chains with a tree structure
• Queueing networks with instantaneous movements: a unified approach by quasi-reversibility
• Quasi-Birth-and-Death Processes with Level-Geometric Distribution
• The classification of matrix GI/M/1-type Markov chains with a tree structure and its applications to queueing
• On the saturation rule for the stability of queues
• Random walks on free products of cyclic groups
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