Stationary waiting time derivatives

DOI10.1007/BF01158809zbMath0760.60083MaRDI QIDQ1205368

Paul Glasserman

Publication date: 1 April 1993

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

zbMATH Keywords

stability conditionslinear difference equationqueueing systemconvergence of the derivativesstability of waiting-time derivatives

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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Cites Work

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• Palm probabilities and stationary queues
• Consistency of infinitesimal perturbation analysis for the GI/G/m queue
• Queues with service times and interarrival times depending linearly and randomly upon waiting times
• Queues as Harris recurrent Markov chains
• Strong consistency of infinitesimal perturbation analysis for tandem queueing networks
• Realization probability in closed Jackson queueing networks and its application
• On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
• Stationary and stability of fork-join networks
• The stochastic equation Y_n+1=A_nY_n + B_n with stationary coefficients
• Perturbation Analysis Gives Strongly Consistent Sensitivity Estimates for the M/G/1 Queue
• Acyclic fork-join queuing networks
• Convergence Properties of Infinitesimal Perturbation Analysis Estimates
• Regenerative derivatives of regenerative sequences
• Convex Analysis
• Embedded renewal processes in the GI/G/s queue
• On the Theory of Queues With Many Servers