Stochastic decomposition of the M/G/∞ queue in a random environment

Authors:
Bernardo D'Auria
Affiliations:
Departamento de Estadistica, Univeridad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés (Madrid), Spain
Venue:
Operations Research Letters
Year:
2007

Citing 2
Cited 4

Workloads and waiting times in single-server systems with multiple customer classes

Proceedings of the workshop held at the Mathematical Sciences Institute Cornell University on Mathematical theory of queueing systems
Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates

Queueing Systems: Theory and Applications

M/M/∞ queues in semi-Markovian random environment

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An infinite-server queue influenced by a semi-Markovian environment

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Heavy-traffic limits for many-server queues with service interruptions

Queueing Systems: Theory and Applications
Maintenance of infinite-server service systems subjected to random shocks

Computers and Industrial Engineering

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Abstract

We prove a stochastic decomposition formula for the number of customers in an M/G/~ system with service speeds depending on an independent random environment. In addition, we present a new technique to analyze this kind of queues and apply it to solve some examples of M/M/~ queues in random environment.