Explicit expressions for moments of waiting times in Poisson driven deterministic two-node tandem queues with blocking

DOI10.1016/J.ORL.2015.02.002zbMath1408.90082OpenAlexW2040075859MaRDI QIDQ1785639

Dong-Won Seo, Hochang Lee

Publication date: 1 October 2018

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2015.02.002

zbMATH Keywords

tail probabilitytandem queueblockingmax-plus algebrastationary waiting timehigher moments

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Closed-form formulae for moment, tail probability, and blocking probability of waiting time in a buffer-sharing deterministic system

Cites Work

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• Transient and stationary waiting times in \((\max, +)\)-linear systems with Poisson input
• Taylor series expansions for Poisson-driven (max,+)-linear systems
• Analytical solution of finite capacity M/D/1 queues
• Max-Plus Linear Stochastic Systems and Perturbation Analysis
• Expansions for steady-state characteristics of (max, +)-linear systems
• Tail probability of transient and stationary waiting times in (max,+)-linear systems
• Laplace transform and moments of waiting times in Poisson driven (max,+) linear systems

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