Abstract
For theM/G/1 queue there are well-known and simple relationships among the second moments of waiting time under the first-in-first-out, last-in-first-out, and random-order-of-service disciplines. This paper points out that these relationships hold in considerably more general settings. In particular, it is shown that these relationships hold forM/G/1 queues with exceptional first service,M/G/1 queues with server vacations, andM/G/1 queues with static priorities.
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Fuhrmann, S.W. Second moment relationships for waiting times in queueing systems with poisson input. Queueing Syst 8, 397–406 (1991). https://doi.org/10.1007/BF02412262
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DOI: https://doi.org/10.1007/BF02412262