The existence of waiting time moments for single server queues with mixed renewal and poisson inputs |
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| Authors: | Siegfried Schönherr |
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| Affiliation: | Sektion Mathematik und Rechentechnik , Technische Hochschule Leipzig , Karl-Liebknecht-Stra?e 132, Leipzig, DDB-703 |
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| Abstract: | The following queuing system is considered: Two independent recurrent input streams (streams 1 and 2) arrive at a server. It is assumed that stream 1 is of Poisson type. Three priority disciplines are studied in case that customers of type 1 have priority: head-of-the-line, preemptive-resume, and preemptive-repeat discipline. For all three cases, the limiting distribution function of actual waiting times of low-priority customers is considered, and conditions are given for the existence of moments related to these limiting distributions. |
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| Keywords: | Queuing mixed type input head-of-the-line priority preemptive-resume priority preemptive-repeat priority waiting time of low-priority customers limiting distributions waiting time moments |
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