A NOTE ON THE INCREASING DIRECTIONALLY CONCAVE MONOTONICITY IN QUEUES

DOI10.1017/S0269964805050035zbMath1072.60080OpenAlexW2024509130MaRDI QIDQ4673899

Tomasz Rolski

Publication date: 9 May 2005

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

Full work available at URL: https://doi.org/10.1017/s0269964805050035

zbMATH Keywords

stochastic ordersstationary incrementsstochastic functionalcounting Cox processpriority M/G/1 queue

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Queueing theory (aspects of probability theory) (60K25)

Related Items (1)

Dependence in Lag for Markov Chains on Partially Ordered State Spaces with Applications to Degradable Networks

Cites Work

• Monotonicity results for queues with doubly stochastic Poisson arrivals: Ross's conjecture
• Queues with non-stationary input stream: Ross's conjecture
• Product-form queueing networks with negative and positive customers
• Average delay in queues with non-stationary Poisson arrivals
• A monotonicity result for the workload in Markov-modulated queues
• Ross-Type Conjectures on Monotonicity of Queues

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