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A fixed-size batch service queue with vacations. (English) Zbl 0858.60085
Summary: The paper deals with batch service queues with vacations in which customers arrive according to a Poisson process. Decomposition method is used to derive the queue length distributions both for single and multiple vacation cases. The authors look at other decomposition techniques and discuss some related open problems.

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
90B25 Reliability, availability, maintenance, inspection in operations research
60K10 Applications of renewal theory (reliability, demand theory, etc.)
60K15 Markov renewal processes, semi-Markov processes
Full Text: DOI EuDML