The asymptotic behavior of queueing systems: Large deviations theory and dominant pole approximation

DOI10.1007/BF01206550zbMath0879.60094MaRDI QIDQ1362299

Piet Van Mieghem

Publication date: 22 January 1998

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

zbMATH Keywords

asymptoticsqueueing systemslarge deviations theorydominant pole approximation

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items

A new type of lower bound for the largest eigenvalue of a symmetric matrix, Dominant poles and tail asymptotics in the critical Gaussian many-sources regime, Asymptotic behavior of a system of two coupled queues when the content of one queue is very high, Delay analysis of a discrete-time multiclass slot-bound priority system, Queue content analysis in a 2-class discrete-time queueing system under the slot-bound priority service rule, Approximations for the performance evaluation of a discrete-time two-class queue with an alternating service discipline

Cites Work

• Effective bandwidths at multi-class queues
• Effective banwidths for the multi-type UAS channel
• Dynamic scheduling with convex delay costs: The generalized \(c\mu\) rule
• Poisson Arrivals See Time Averages
• Saddlepoint Approximations in Statistics
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