On the cycle maximum of mountains, dams and queues

O.J. Boxma, D. Perry

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)


We determine the distribution of the maximum level of the workload in some queueing, dam, and storage processes. The models under consideration are the following. (i) The Markov mountain: a storage or dam model that alternates between exponentially distributed ON and OFF periods. The buffer content increases (decreases) at some state-dependent rate when ON (OFF). (ii) The semi-Markov mountain: as (i), but with generally distributed ON periods. (iii) The M/G/1 queue with various forms of customer impatience.
Original languageEnglish
Pages (from-to)2706-2720
JournalCommunications in Statistics : Theory and Methods
Issue number16-17
Publication statusPublished - 2009


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