A Markov-modulated M/G/1 queue. II: Busy period and time for buffer overflow

DOI10.1007/BF01150671zbMath0662.60100MaRDI QIDQ1113546

Charles Tier, Zeev Schuss, Bernard J. Matkowsky, Charles Knessl

Publication date: 1987

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

zbMATH Keywords

singular perturbationsbusy periodstate dependentAsymptotic approximationsMarkov modulated queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (4)

Busy period distribution in state-dependent queues ⋮ A Markov-modulated M/G/1 queue. II: Busy period and time for buffer overflow ⋮ On the functional and local limit theorems for Markov modulated compound Poisson processes ⋮ Stationary analysis of a single queue with remaining service time-dependent arrivals

Cites Work

• A Markov-modulated M/G/1 queue. I: Stationary distribution
• A Markov-modulated M/G/1 queue. II: Busy period and time for buffer overflow
• An Asymptotic Theory of Large Deviations for Markov Jump Processes
• Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System
• The Exit Problem for Randomly Perturbed Dynamical Systems
• System crash in a finite capacity m/g/1 queue
• System crash in a finite capacity m/g/1 queue

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