Use of Polya distributions in approximate solutions to nonstationary M/M/s queues
Communications of the ACM - Special issue on simulation modeling and statistical computing
Transient diffusion approximation for some queuening systems.
SIGMETRICS '83 Proceedings of the 1983 ACM SIGMETRICS conference on Measurement and modeling of computer systems
A simulation of U. S. coast guard response to demands for service
WSC '76 Proceedings of the 76 Bicentennial conference on Winter simulation
Modeling the time varying behavior of mobile ad-hoc networks
MSWiM '04 Proceedings of the 7th ACM international symposium on Modeling, analysis and simulation of wireless and mobile systems
Approximating nonstationary queueing systems
WSC '82 Proceedings of the 14th conference on Winter Simulation - Volume 1
Fundamental characteristics of queues with fluctuating load
SIGMETRICS '06/Performance '06 Proceedings of the joint international conference on Measurement and modeling of computer systems
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The time-dependent equations for the M/M/1 queue can be reduced to a single equation for the expected queue size, but the equation is dependent on P0(t), the probability of no jobs in the system. An exact equation for the behavior of P0(t) under special conditions is derived and an approximation relating P0(t) to Q(t), the expected queue size at time t, is derived for the case when the change in queue size is slow compared to the service rate. It is found that the approximation affords a significant improvement over the use of a steady state approximation to the time-dependent queue and is simpler to use than the exact equations.