MONOTONICITY AND CONVEXITY OF SOME FUNCTIONS ASSOCIATED WITH DENUMERABLE MARKOV CHAINS AND THEIR APPLICATIONS TO QUEUING SYSTEMS

DOI10.1017/S0269964806060037zbMath1089.60519OpenAlexW2055250090MaRDI QIDQ5291226

Qi-Ming He, Hai-Bo Yu, Han-Qin Zhang

Publication date: 9 May 2006

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

Full work available at URL: https://doi.org/10.1017/s0269964806060037

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (1)

Stochastic monotonicity and comparability of Markov chains with block-monotone transition matrices and their applications to queueing systems

Cites Work

• On the exact analysis of a discrete-time queueing system with autoregressive inputs
• On the dependence structure and bounds of correlated parallel queues and their applications to synchronized stochastic systems
• On a simple proof of uniformization for continuous and discrete-state continuous-time Markov chains
• Partial Orders and the Matrix R in Matrix Analytic Methods
• The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1
• On the transient delays of M/G/1 queues
• Strong stochastic convexity: closure properties and applications

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