M/M/C queues with Markov modulated service processes
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Steady state analysis of level dependent quasi-birth-and-death processes with catastrophes
Computers and Operations Research
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The queueing-theoretical model for stationary traffic flow developed in a former paper is extended and modified for nonstationary flow. In particular it is shown how speed-flow-density relationships under nonstationary conditions may deviate from those obtained for stationary conditions. It is shown how the wide scatter which is often observed with empirical speed-flow-density data can be explained by nonstationarity. Furthermore, hysteresis loops, which may show up in speed-flow-density relationships, are interpreted by means of nonstationarity.