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Waiting times in queues with relative priorities
Authors:Moshe Haviv  Jan van der Wal
Institution:a Department of Statistics, The Hebrew University of Jerusalem, 91905 Jerusalem, Israel
b Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands
c Faculty of Economics and Business, University of Amsterdam, Amsterdam, The Netherlands
Abstract:This paper determines the mean waiting times for a single server multi-class queueing model with Poisson arrivals and relative priorities. If the server becomes idle, the probability that the next job is from class-i is proportional to the product between the number of class-i jobs present and their priority parameter.
Keywords:Non-preemptive relative priorities  _method=retrieve&  _eid=1-s2  0-S0167637706001180&  _mathId=si3  gif&  _pii=S0167637706001180&  _issn=01676377&  _acct=C000051805&  _version=1&  _userid=1154080&  md5=4d95a618166807c6d523d5984a2fde35')" style="cursor:pointer  M|G|1 queues" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">M|G|1 queues
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