Bounds for the mean queue length of the M/K2/m queue |
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| Affiliation: | 1. Radiology Department, Center for Advanced Medical Imaging Sciences, Massachusetts General Hospital and Harvard Medical School, 55 Fruit Street, Boston, MA 01721, USA;2. Department of Radiology, Medical Imaging Research Group, University of British Columbia and Vancouver Coastal Health Research Institute, VGH Research Pavilion, #366-828 West 10th Avenue, V5Z 1L8 Vancouver, BC, Canada |
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| Abstract: | This paper deals with the mean queue length E(Q) of the M/K2/m queue. In particular we study the behaviour of E(Q) when the coefficient of variation (Cx) for the service time is constant. Two limiting cases are studied (when Cx2> 1) and it is conjectured that these cases give bounds for E(Q), when Cx2 is fixed. A simple approximation for E(Q) is suggested for a particular subclass of M/G/m queues (including M/D/m, M/Ek/m and certain M/H2/m cases). |
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