Upper bound for the decay rate of the joint queue-length distribution in a two-node Markovian queueing system

DOI10.1007/S11134-008-9066-9zbMath1140.60345OpenAlexW2117390735MaRDI QIDQ931400

Naoki Makimoto, Yukio Takahashi, Ken'ichi Katou

Publication date: 25 June 2008

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

Full work available at URL: https://tsukuba.repo.nii.ac.jp?action=repository_uri&item_id=18211

zbMATH Keywords

Markovian queueing networkGeometric decay propertyJoint queue-length distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (3)

Light tail asymptotics in multidimensional reflecting processes for queueing networks ⋮ Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process ⋮ A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process

Cites Work

• Unnamed Item
• The stability of open queueing networks
• Large deviations behavior of counting processes and their inverses
• New results on the single server queue with a batch markovian arrival process
• Computation of Steady-State Probabilities for M/M/1 Priority Queues
• TAIL BEHAVIOR OF THE STEADY-STATE DISTRIBUTION IN TWO-STAGE TANDEM QUEUES : NUMERICAL EXPERIMENT AND CONJECTURE
• ASYMPTOTIC PROPERTIES OF STATIONARY DISTRIBUTIONS IN TWO-STAGE TANDEM QUEUEING SYSTEMS
• UPPER BOUND FOR THE DECAY RATE OF THE MARGINAL QUEUE-LENGTH DISTRIBUTION IN A TWO-NODE MARKOVIAN QUEUEING SYSTEM(<Special Issue>Network Design, Control and Optimization)

This page was built for publication: Upper bound for the decay rate of the joint queue-length distribution in a two-node Markovian queueing system